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How does market competition affect firm innovation incentives in emerging countries? Evidence from Latin American firms

Benavente, Jose Miguel,Zuniga, Pluvia

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Benavente, Jose Miguel; Zuniga, Pluvia Working Paper How does market competition affect firm innovation incentives in emerging countries? Evidence from Latin American firms UNU-MERIT Working Papers, No. 2021-024 Provided in Cooperation with: Maastricht Economic and Social Research Institute on Innovation and Technology (UNU-MERIT), United Nations University (UNU) Suggested Citation: Benavente, Jose Miguel; Zuniga, Pluvia (2021) : How does market competition affect firm innovation incentives in emerging countries? Evidence from Latin American firms, UNUMERIT Working Papers, No. 2021-024, United Nations University (UNU), Maastricht Economic and Social Research Institute on Innovation and Technology (UNU-MERIT), Maastricht This Version is available at: https://hdl.handle.net/10419/326783 Standard-Nutzungsbedingungen: Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Zwecken und zum Privatgebrauch gespeichert und kopiert werden. 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If the documents have been made available under an Open Content Licence (especially Creative Commons Licences), you may exercise further usage rights as specified in the indicated licence. https://creativecommons.org/licenses/by-nc-sa/4.0/          #2021-024 Howdoesmarketcompetitionaffectfirminnovationincentives inemergingcountries?EvidencefromLatinAmericanfirms  JoseMiguelBenaventeandPluviaZuniga             Published19May2021     MaastrichtEconomicandsocialResearchinstituteonInnovationandTechnology(UNU‐MERIT) email:[email protected]u|website:http://www.merit.unu.edu  Boschstraat24,6211AXMaastricht,TheNetherlands Tel:(31)(43)3884400 UNU-MERIT Working Papers ISSN 1871-9872 Maastricht Economic and social Research Institute on Innovation and Technology UNU-MERIT UNU-MERIT Working Papers intend to disseminate preliminary results of research carried out at UNU-MERIT to stimulate discussion on the issues raised.   1 How does market competition affect firm innovation incentives in emerging countries? Evidence from Latin American firms JOSE MIGUEL BENAVENTE1 Inter-American Development Bank PLUVIA ZUNIGA2 University of United Nations, Maastricht Economic Research Institute of Innovation and Technology (MERIT) Key Words: Innovation, Competition, Productivity, Research and Development (R&D), Latin American firms, Chile, Colombia. Journal Economic Literature: O32, D41, O47, D24 1 Inter-American Development Bank, Competitiveness, and Innovation Division. E-mail: [email protected]. 2 Corresponding author. United Nations University (UNU) and MERIT, Innovation Policy Studies. email:[email protected]. Acknowledgments: The authors are thankful to Roberto Alvarez (Universidad Catolica de Chile) from insightful comments and suggestions to previous versions of this study. This study also benefitted from contributions from Rafael Gorduno, Rut Atayde and Eduardo Robles (Universidad Panamericana), Sergio Pelaez and Bryan Hurtado (Universidad de los Andes). The views expressed correspond only to authors and do not represent the views of their organizations. 2 Abstract The role of market competition on firm innovation remains a controversial policy question, especially in the context of developing countries. This paper presents new empirical evidence about the impact of market competition on firm innovation engagement in Colombian and Chilean manufacturing industries. We correct for the endogeneity of market competition using instruments proxying entry costs and policy interventions (i.e. competition decisions and entry law reforms), our results are like those of developed countries. Market competition increases firm propensity to invest in innovation in manufacturing enterprises and this relationship is linear in Chilean while in Colombian industries it takes the form of an inversed-U shape relation. The impact of competition is decreasing with the level of sector asymmetry -as preconised in the literature, while the impact of firm distance to the frontier affects firm innovation engagement differently in the two countries. In Chile, competition raises innovation incentives for the third and fourth productivity quartiles while no impact is found for firms in the first (bottom) two quartiles. In contrast, in Colombia market competition raises innovation engagement across regardless their firm productivity position but effects are stronger in the medium range (second and third quartiles). Our main results are robust to controlling for past innovation engagement, import competition and business dynamics. Key words: Market Competition, Innovation, Technology Purchasing, Productivity, Latin American Firms JEL: O32, D41, O47, D24 3 INTRODUCTION Competition is a major engine of productivity growth and an intense empirical research recurrently corroborates this impact (see reviews by Holmes and Schmidt, 2010; Van Reenen, 2011). Several mechanisms are at play. Firstly, competition acts as a disciplining device within firms, placing pressure on the managers of firms to become more efficient, decreasing ‘x-inefficiency’ (“within” effect). Second, competition raises average productivity in industries as less productive firms exit markets (“selection”) while new firms enter pressing incumbent firms to improve (“between” effect). Thus, competition drives economic efficiency through renewal of industries and firms. And thirdly, competition fosters innovation through technological improvements of production processes and new products and services, which brings welfare improvements in the long run (dynamic effects). Although competition is widely recognised as a major determinant of firm productivity, how this happens, and the ways competition affect firms’ innovation incentives are still subject to debate. In this paper we analyse the impact of market competition on firm innovation. Following the studies of Scherer (1965; 1967) and Kamien and Swartz (1982), research by Aghion et al., (2005) postulated a non-linear relationship where stronger competition would encourage firm innovation up to a certain level but will discourage such efforts after reaching a threshold point depending on the initial state of competition, technological symmetry among firms, and the distance from the technological frontier (see also Acemoglu et al., 2006; Aghion et al., 2009). Accordingly, more intense competition enhances innovation incentives in "frontier" and symmetrical firms -where “escape competition” incentives will prevail (e.g., Arrow, 1960; Scherer, 1967)- but may discourage it in "non-frontier" firms and lagging sectors (Schumpeter, 1942). For firms and industries in developing countries, the impact of market competition and what type of forces will dominate and for which firms, are still unclear empirically. For developing countries, economic theory mostly predicts that negative effects (“Schumpeterian “discouraging” innovation effects plus “business stealing”) would overcome innovation motivations given the very large disparity within industries (i.e., Klinder and Lederman, 2011); their large share in the economy and the distance of industrial from the global frontier (i.e. Hausman and Rodrick, 2005). These “discouraging effects” could be exacerbated if other policy failures for business innovation prevail such as the lack of finance and the severity of financial constraints (Galle, 2020; Yang and Pan, 2018) and other restrictions for resource allocation persist (e.g., Driffield et al., 2013; Andrews et al., 2018). Yet recent research reinforces the arguments about the dominance of “escapecompetition” effects -encouraging firm innovation. Innovation incentives from competition increase in the context of global markets due to the additional effects raised by (expanded) market size and 4 spillovers (Aghion et al., 2019; Ackdigit et al., 2018); and in contestable markets -with free firm entry and exit (e.g. Federico et al., 2019). This paper presents new evidence on the role of market competition in firm innovation decisions in the context of emerging countries. Using firm-level data from manufacturing firms from Chile and Colombia, we evaluate the causal effects of market competition on firms’ innovation engagement using an instrumental variable approach. We use the analytical framework proposed by Aghion et al., (2005) and extend this approach in several dimensions. We first evaluate the hypothesis of a non-linear relationship and test whether “competition-escaping” incentives or the incentives to innovate to preserve market leadership predominate over “Schumpeterian” reactions which relate to discouraging (negative) incentives to innovate because it becomes more costly to engage in innovation (ibid). According to theory, the negative incentives to innovate will increase with firm distance to the technology frontier and will decrease in industries where technology rivalry among firms is strong (similar productivity competences). As measures of market competition, we use the profit elasticity index or “Boone Index” (Boone, 2006; Boone et al., 2008), which is a more reliable indicator than traditional measures of competition (Herfindahl and Profit-Margin indicators or Lerner indexes). We implement instrumental variables with two-stage estimation and use measures of sector entry costs (e.g. Sutton, 1991; Vives, 2008), and competition policy interventions as instruments to correct for the endogeneity of market competition (i.e., Aghion et al., 2005; Griffith et al., 2010). The latter are assumed to introduce structural changes in market conditions and correct for anti-competitive behaviour. There are several reasons why we should look at these questions in Latin American firms. First, the evidence on the links between innovation and market competition is quite scarce for these countries. A better understanding of how competition impacts firms´ innovation behaviour is crucial given the persistent lack of productivity growth in the region (Blyde and Fentanes, 2019; OECD, 2021). In addition, international benchmarking studies and surveys indicate that lack of competition and the prevalence of entry barriers remains a major issue for competitiveness in the region. This is reflected, for instance, in the rankings of the Doing Business indicators and the country reviews assessment of competition policy (e.g. the OECD Review of Competition for Mexico (2018) and Costa Rica (2017)). Accordingly, competition restrictions (e.g. sectoral regulations) and anti-competitive practices remain substantial in several industries whereas entry barriers (and exit) barriers persist (e.g. tax systems, entry regulations, bankruptcy laws, etc.). There are other additional reasons why it is timely and necessary to conduct this research. The rise of new technological paradigms such as digital technologies and the fourth industrial revolution 5 risks to further widen the technological gaps among firms and between countries (see Calligaris et al., 2018). If market concentration slows-down innovation and technology diffusion towards laggard firms and sectors (e.g. Andrews et al., 2018), productivity gaps risk to increase, pulling down aggregate productivity. Our results show that market competition increase firm propensity to invest in innovation activities in Chilean and Colombian enterprise; while this relationship is linear in Chile, an inversed U-shaped relation emerges in the case of Colombian firms. In line with the literature, the impact of competition is decreasing with the level of sector asymmetry while the impact of firm distance to the frontier affects firm innovation engagement differently in the two countries. We find heterogeneous effects across the firm productivity distribution with stronger and more significant responses found in the medium range of the productivity distribution. Thus, we partially confirmed the postulates advanced from the literature (i.e., Aghion et al., (2005) and Acemoglu et al., (2016) regarding firm distance to the technological frontier and we found distinctive responses across these two countries. In Chile, competition raises innovation incentives for the third and fourth productivity quartiles while no impact is found for firms in the first (bottom) two quartiles. In contrast, in Colombia market competition raises innovation engagement across regardless their firm productivity position but effects are stronger in the medium range -i.e., second and third quartiles. Our results are robust to controlling for past innovation engagement, import competition and business dynamics. This paper is structured as follows. In the first section, we briefly review the literature and summarise the key messages from past research on the links between competition and innovation and identifies main findings from Latin American countries. The second section present our models and empirical strategy. Section 3 first describes the evolution of competition in manufacturing industries and reports our results. Section 4 reports our robustness tests. The final section summarises our main findings and concludes. I. INNOVATION AND COMPETITION: WHAT WE KNOW The relationship between the intensity of competition and the rate of technical progress has been investigated in both theoretical and the empirical economic literature (see Gomellini, 2013). The analysis of these questions relates to at least two strands of the literature; the new endogenous growth models (e.g., Romer, 1986; 1990; Aghion and Howitt, 1992) and the industrial organisation literature (Reinganum, 1989). Traditional arguments date back to Schumpeter (1942) and Arrow (1962). According to the former (Schumpeter,1942; 1943), technological progress 6 requires the presence of (some) market power (see also Romer, 1990; Aghion and Howitt, 1992) as ideas are costly to produce and knowledge is non-rival and can be appropriated by others. A negative linear relationship is predicted: by reducing monopoly profits that reward innovation, competition slows-down innovation by leaders, and economic growth contracts. In contrast to these perspectives, Arrow (1962) sustained that firms in monopolistic situations would only innovate to replace a rent (“replacement” effect) that already have while firms under a regime of competition would gain the full return of innovation as they would not lose any monopoly profit. Thus, competition promotes innovation especially if allows entry of more innovative and efficient firms (e.g. Aghion et al., 2005; 2009). Research by Aghion, Bloom, Howitt and Griffith (2005) conciliated these two opposing views and acknowledged the existence of both scenarios depending on the initial level of competition, firms’ (and industries) technology distance to the frontier and level of technological rivalry (or symmetry), which would make the competitioninnovation relation non-monotonic. This shape arises due to the heterogeneity of different industry contexts distributed across the curve -which is endogenously defined. In this theoretical setting, innovation incentives for incumbents are driven by the difference between post-innovation and preinnovation profits and their position to the technology frontier.3 Accordingly, innovation incentives are stronger when technology rivalry is strong (disparity is low) because competition reduces firms’ pre-innovation rents by more than it reduces postinnovation rents. In leveled industries or “neck-to-neck’ sectors, increased product market competition, by making life more difficult for neck-and-neck firms, will encourage them to innovate in order to acquire a lead over their rivals in the sector and escape competition. In contrast, in asymmetrical sectors, increased competition will tend to discourage innovation by laggard firms as it decreases the short-run extra profit from catching up with the leader (“Schumpeterian” effect) driving down the average industry innovation effort.4 The farther firms are from the technology frontier (and the larger their share in industries), the more negative effects would dominate because ex-post rents are eroded by competition. These predictions were corroborated empirically in a panel of British industries, and a follow up study (Aghion et al., 2009); and more recently, in an experimental study (Aghion et al., 2014). 3Technological progress by leaders and followers takes place step-by-step and not through automatic leapfrogging -as defined in previous research. 4 For laggards, ex-post rents from innovation are eroded by new entrants-as in Schumpeter’s appropriability argument as these firms mostly have low profits therefore competition mainly affect ex-post profits from innovating. 13 compare our results with theirs. The vector 𝑋 contains a set of control variables suggested by the literature (Crepon et al., 1998; Cohen 2010; Gorodinchenko et al., 2011). We include export intensity of the firm (𝐸𝐼󰇜 which is the proportion of income corresponding to sales in foreign markets in the previous period; we control for the size of the firm (𝐿) proxied by the natural logarithm of the total employees of the company and firm age (𝐴𝑔𝑒) which is the logarithm of the number of years since the firm was founded. In the Chilean regressions, we also include a dummy form multinational firms for firms reporting foreign capital ownership of at least 10% and a dummy for firms belonging to a group. In the Colombian data, our proxy for foreign ownership refers to the proportion of foreign labor in total employment; although is an imperfect measure, we can assume that those firms with employees from foreign origin (white collar) are multinational corporations. Our analysis differs from the one of Aghion et al. (2005) and Hashmi (2013), and other studies for developed countries who used patents or R&D investment as main explained variables. We use a broader definition of innovation activity. For Chilean firms, the innovation surveys uses the definition of innovation activities provided by the OECD Oslo Manual (OECD and EU, 2015), and consider innovation activity as any expenditure incurred in terms of internal or external R&D services, expenditures related to acquisition of machinery and equipment associated to innovation activities; payments and royalties related to the acquisition of licensing, intellectual property, software licensing plus expenses in labor training related to the use of new technologies or R&D. Our explained variable is a categorical variable equal to one if the firm declared expenditures in these items. Estimations of equations like (1) and (2) cannot be consistently estimated by probit regression (incidental parameters problem). Thus, we estimate our equations using linear probability models, where we allow for firm fixed effects to deal with (time unvarying) firm unobservable firm attributes.10 Further, we correct for endogeneity with a set of policy changes and industry-level indicators of market pressures for panel data (fixed effects). The main objection to the use of the linear probability models is that heteroscedasticity is almost invariably present, and the fact that the model can potentially predict probabilities that are not between 0 and 1 if sufficiently extreme values of the predictor variables are used. We deal with this heteroscedasticity problem in two 10 Using the LPM has three main drawbacks: The effect ΔP(y=1∣X=x0+Δx)ΔP(y=1∣X=x0+Δx) is always constant; the error term is by definition heteroscedastic by definition, and OLS does not bound the predicted probability in the unit interval. 14 ways. We exclude outliers in key variables of interest (bottom 1% and 99% percentile in productivity and sales in the innovation survey dataset). We implement fixed effects estimation with instrumental variables and panel regression (fixed effects) for some equations (i.e. interactions per quartile). 3.1 The measurement of market competition As indicators of market computation, we use the Boone index as in Boone (2008; 2010) and the more traditional profit cost margin ratio or PCM (Lerner index). The Boone index is a profitelasticity measure (at the market/industry level) developed in Boone (2000; 2001) and Boone et al. (2007) and it has been proven to be a more reliable measure compared to traditional indicators such as the Lerner or the Herfindahl-Hirschman index. The superiority of the Boone indicator relies in the fact that it incorporates heterogeneity in firm efficiency to measure profit-cost elasticity through econometric estimation.11 The main idea is that competition rewards efficiency – more efficient firms (that is, firms with lower marginal costs) obtain higher market shares and profits compared to less efficient rivals; and this effect is stronger with fiercer competition. As competition intensifies, there is a reallocation of output from less efficient to more efficient firms (i.e. Aghion and Schankerman, 2004). It has been also proven that the Boone index is monotonously related to various competition parameters, unlike other used measures such as the Lerner or the HHI (Boone, 2008a; 2008b). Empirically, the Boone Index (the profit-costs elasticity) and can be recovered by coefficient 𝛽 for each sector j and year t in the following regression: 𝑙𝑜𝑔𝜋  𝛼  𝛽log 󰇧𝑇𝑉𝐶 𝑠𝑎𝑙𝑒𝑠󰇨 𝛽log𝑠𝑖𝑧𝑒 𝜖 󰇛4󰇜 where, 𝑙𝑜𝑔𝜋 corresponds to the natural logarithm of operating profits of the firm i in sector j at year t, 𝑇𝑉𝐶 to total variable cost relative to sales, a measure of firm size (number of firm employees) and 𝜖 to a robust standard error. The econometric strategy consists in estimation the logarithm of the operating profits as a function of the logarithm of variable costs over total sales. We estimate equation (4), for each sector-year combination at the 3 digit-level in the ISIC (4) classification for Colombian firms and at the two-digit level for Chilean firms. Profits on the lefthand side of the equation are computed as sales – total costs (administration expenditures + labor 11 Traditional indicators of competition such as market share or markups indicators, have known important limitations. For instance, they mostly capture domestic market competition, neglecting the influence of open markets and they are also subject to some theoretical and empirical weaknesses (Boone, 2008). 15 cost + raw materials + depreciation + opportunity cost). Each of these variables is individually observed in the industrial survey, except for the opportunity cost which is calculated as assets book value times the interbank interest rate. To the extent that the measurement errors are time invariant they will be picked up by the firm fixed effects. To have more robust and reliable indicators which are less influenced by outliers, we excluded industries with less than 20 firms. In addition, in the industrial surveys we exclude outliers based on the productivity distribution dropping the top 99% and bottom 1% of the TFP distribution. As total variable cost is negatively related to with profits, the Boone Index is always negative - although positive values can appear (e.g. perfect collusion). For this analysis, we will use the absolute value of this index for amore interpretable estimator. Thus, a higher value for the Boone index indicates a greater sensitivity of firm profits to cost and therefore higher competition intensity.12 To ensure robust Boone index estimates less influenced by outliers and small industry sizes, industries with less than 20 firms are dropped. For comparison purposes, we also use the Lerner Index (price-cost margin) and the HerfindahlHirschman Index (HHI) as alternative market competition indictors, for purposes of comparison. For Mexico and Chile, we calculate the Lerner Profitability Index (Lerner, 1934) as follows: 𝐿𝑖 󰇛𝑂𝑃 𝐹𝐶󰇜 𝑠𝑎𝑙𝑒𝑠 󰇛5󰇜 where 𝐿𝑖 is the profit costs margin index in firm i in time t, and operating profit corresponds to the total income which is the sum of national and international income minus total cost of production. The Lerner index ranges from 0 in situation of perfect competition to the inverse of the price elasticity of demand in situation of monopoly or collusion. FC are financial costs and is calculated as 𝐹𝐶󰇛𝐹𝐴𝐶 ∗0.085󰇜𝐴𝐷, where 𝐹𝐴𝐶 corresponds to fixed asset cost, 0.085 which is assumed to be the cost of capital as in Aghion et al (2005) and 𝐴𝐷 correspond to asset depreciation. The competition index is the average of the 𝑙𝑖 across firms for each subsector: 𝐶  1 ∑𝐿𝑖∈ where 𝑁 corresponds to the number of firms in each subsector j. It must be noted that PCM indicators suffer from several imitations (see Stiglitz, 1989; Amir, 2003, among others), such as misleading trends in small markets; poorly capturing geographical market power, etc. The 12 The Boone does not allow for the perfect identification of extreme cases such as monopoly and perfect competition. Nevertheless, in theory, Boone index near infinity could be related to perfect competition and near zero to more uncompetitive conditions. 16 competition index at industry level is defined as the inverse of the Lerner index (1-PCM); so that values approaching zero indicate some degree of market power. In our robustness tests, we also control for the rate of business dynamics. We follow the definition of the OECD (SDBS) Business Demography Indicators for birth enterprise creation and business entry rate. This is the number of enterprise births in the reference period (t) divided by the number of enterprises active in the same period. If we consider the exit rate (number of enterprises that disappear every year) we can compute the net entry rate (NER) as: 𝑁𝐸𝑅    ∗100. For Chile, we compute firm creation and exit rates with data from the ENIA (Industrial Census) at the three-digit ISIC Rev. 3 level. According to Pavcnick (2002), it is important to incorporate dynamics like firm exit in the productivity (innovation) analysis in order to correct for the selection problem induced by existing firms (see also Amiti and Konings, 2007). 3.1. Endogeneity and Identification Strategy Competition might be weakly exogenous to innovation at both the firm and industry levels. Endogeneity might arise due to measurement errors in covariates (competition); unobserved heterogeneity (i.e. through omitted variables affecting both equations), and /or simultaneity (i.e. random shocks trigger the change in covariates).The problem of simultaneity can be more severe as causality can run both ways in the case of market competition and innovation. Innovation can reinforce firms´ market power (leading to market concentration) or totally displace competitors through new products or process innovation, product differentiation, and other forms of competitive strategies. If innovation increases market power and hence reduce competition, the estimates will be biased towards finding a more negative (or less positive) relationship between competition and innovation. For all these problems, we can apply instrumental variables (IV) estimations because IVs can help cut correlations between the error term and independent variables. By addressing firm unobserved heterogeneity, panel data can help deal with these problems but cannot fix the problem. For IVs estimation to be valid, we need to have IVs that are uncorrelated with the error term but partially and sufficiently strongly correlated with the weakly exogenous variable (competition) once the other independent covariates are controlled for. Suitable IVs are exogenous changes to the system such as global competition shocks (supply trends, e.g. Author et al., 2016). Several authors have used structural policy changes and regulatory reforms altering competition conditions in markets/industries (i.e., Aguion et al., 2005; Bloom et al., 2016). 17 We use two types of IVs which are assumed exogenous to the system but correlated to innovation. For Colombia and Mexico, we use: (i) official competition enforcement decisions, which take the form of sanctions for firms issued by the national Competition Authorities (NCC in Colombia) (see Aghion et al., 2009; Griffith et al., 2010); and (ii) a measure of entry barriers or “sunk costs” in each sector. The former refers to competition law decisions to sanction firms found to exercise collusive or other anti-competitive practices such as market segmentation practices or monopolistic abuses. We designate a dummy equal to one for industries (at the 3-digit level of ISIC Rev. 4 for Colombian industries)) where such policy decisions occurred and another categorical variable equal to one since the year these decisions were emitted. We are thus conducting a differences-in-differences (DIF) estimation. Entry barriers is a measure of set-up costs following Sutton (1991) (see also Vives, 2008; Beneito et al., 2015). This variable is defined as the output share of an industry’s median-size firm multiplied by the average capital-output ratio in each of the sectors (2-digit level in Chile). The former part of this product is considered by Sutton (1991) as a measure for the firm’s minimum efficient scale. Firms’ output is measured as sales plus variation in inventories, whereas the stock of net physical capital is obtained using the perpetual inventory method. The measure for set-up costs is a proxy for capital requirements required in each sector to establish a new firm. In the three country datasets, we also include an indicator of market size (logarithm of production in the previous period) and average sector growth in the last 3 years. In the Chilean sample, in addition to entry costs and size of the sector, we exploit the variation in competition that arises from a major policy reform. In 2013, Chile introduced and implemented a new process (contained in the Law 20,659) for the creation of new firms in one single day. By using this reform as instrument, we account for such structural policy change in the business environment. Under this reform, a company can be fully incorporated online, and new members or shareholders can create a limited liability company, a company by shares, a corporation, or an individual company with limited liability. Although registration costs and time of procedures might not be as much as critical for business creation in services, this reform reflects an overall improvement of the doing business framework, which should influence market competition by promoting and facilitating entry. We test these overidentifying restrictions and experiment with some interactions among them.13 13 As alternative instrument, we also used the average growth of Chinese imports experienced in other Latin American economies with similar trade openness. We tested the four-year average growth of Chinese imports (see Bernard, Jensen and Scott, 2006; Autor et al., (2013; 2016). Although this instrument was expected to influence 18 The use of policy interventions has been already tested in previous studies (i.e, Griffith et al., 2010; Aghion et al., 2005; 2009). Grifitt et al., (2010) and Aghion et al., (2009) used (UK) Competition Authority decisions that culminated in competition policy interventions in sectors to instrument the Lerner index. They also used trade reforms (sector-level) introduced by the market integration to the European Union and privatisation reforms. Further, in a cross-country study, Buccirossi et al., (2013) provide strong evidence of policy complementarities between competition policy and law enforcement to foster productivity growth in industries. This exercise allows us to test the effectiveness of such policy interventions in improving competition conditions. Competition law and its enforcement have substantially improved during the last two decades in these countries. During the 2010s, several reforms strengthened the legal and institutional capacity of the competition authority in Colombia. In 2009 the Colombian Competition Authority (SIC, for its acronym in Spanish) suffered a radical change. Its budget increased, it was conceded the right to carry out surprise visits and precautionary measures, it formed an elite group against collusion, and it created a program to grant benefits to informants in a cartel. Most importantly, the number of fines for violations to free competition increased substantially, moving from a maximum of 500 thousand dollars to 25 million dollars. All these reforms led to a significant increase in the number of sanctioned firms and amounts in penalties (SIC, 2018). Several cartels have been unmasked. They have been found in large economic sectors such as printing and paper industries, cement, sugar, and cattle.14 3.2 Technology Distance and the role of Asymmetry In line with Aghion et al. (2005), we evaluate whether the impact of competition is subject to non-linearities related to firms´ technology gap and the level of technological asymmetry within sectors. As in Aghion et al., this is proxied by the “average technological gap” in industries and its interaction with competition. For the three countries (Colombia, Mexico, and Chile), we estimate total factor productivity (TFP) at the firm level following the methodology of Levinson and Petrin (2003), which assumes a Cobb-Douglas production function. Once we have individual TFP indicators, we compute the difference in productivity with respect to the “Leaders” in each sector. We define as leaders as those firms being at the top 5% of the TFP distribution in each sectormarket competition and a good instrument (given its orthogonality), it was found non-significant in explaining the Boone index. 14 From 120 in the period 2003-2010 to 536 in the period 2011-2018) and the total amount of fines (from 21 million dollars in the period 2002-2010 to 450 million dollars in the period 2011-2018, in constant prices). 19 year combination. To avoid the effects of outliers in the group of frontier firms, we compute the gap in TFP values for each non-frontier firm with respect to the median of leaders and this difference is expressed as a percentage respect to the median value of frontier firms. The “technology distance” (𝐺𝐴𝑃󰇜 measure then takes values between 0% (for leaders) and 99.99% percent, with higher values reflecting closeness to the frontier. In the case of Chile, we use sector-level dispersion indicators computed directly from the Industrial Survey; however, for the computation of firm-level productivity measures we are constrained to use labor productivity (sales over employees) since no information on fixed assets and variables costs are available in the national innovation surveys and there is no identifier available to link the industry survey with the innovation surveys.15 We also tested three-year averages to alleviate business cycle effects and reduce potential measurement errors; results were only significant with the first definition. We use three alternative measures of technological asymmetry of sectors. We use the average firm gap in industries, the standard deviation in firm total factor productivity (TFP), and the kurtosis index; calculated each for every sector-year combinations. We interact these indicators with the competition measures to evaluate whether negative responses predominate with productivity dispersion. A similar exercise consists in interacting competition with a dummy denoting symmetrical sector (Neck-to-Neck). We define these industries as those where the average gap is at least three standard deviations smaller than the average gap in the whole industry. In line with Aghion et al., (2005), we expect “technologically symmetrical” sectors to display stronger responses to competition; a steeper non-linear curve. IV. THE RESULTS Tables 1-3 report summary statistics for the three country samples. Figures 1 and 2 display the evolution in market competition proxied by the Boone Index as well as the evolution in the proportion of firms reporting investment in innovation activities. According to the average profit elasticity index (Boone Index), - competition has deteriorated substantially in Chilean and Colombian manufacturing industries. The percentage of Colombian firms involved in innovation activities has also decreased over time. During the years 2003-2006, about half of the firm population in manufacture declared to have invested in some type of innovation activity -i.e., 15 Please notice that we cannot compute TFP indicators with data from national innovation surveys (no information on capital assets or variable costs is provided) as there is no information on variable costs and capital in national innovation surveys: case of Chile and Mexico). Our indicators on productivity dispersion and average gaps were built with the Industry Surveys. 20 related to expenditures on science, technology services or other forms of innovationwhereas in 2015-16 this figure was 20% (Figure 1). According to the Boone index, market competition in Colombian sectors has been cut by half during this period.16 In Chile, the Boone index decreased from an average of 1.7 to an average of 1.35 between 2009 and 2016. According to the OECD (2021), competitive pressures remain low and entry restrictions still prevail. The regulatory environment inhibits competition and the scaling up of firms, and restrictions on firm entry and formalisation prevail. In terms of innovation engagement, the proportion of firms investing in innovation activities remains pretty much the same between 2011 and 2016 -with a temporary increase in the middle of the period. Figure 1: Competition Evolution and Innovation Engagement (% of firms involved), Colombian Manufacturing Figure 2: Competition Evolution and Innovation Engagement (% of firms involved), Chilean Manufacturing Note: The Boone index was built with the EAIM (Colombia) and ENIA (Chile) data after trimming outliers and excluding industries with less than 20 employees; the yearly average index is the sector-weigthed indicator based on sales-based economic structure. Aggregate figures regarding firm innovation engagement provide mixed messages, while productivity indicators consistently indicate the existence of large asymmetries within sector gaps; large gaps vis a vis the leaders (within sectors), and a deterioration of average firm productivity. It has been emphasised that much of this productivity weakness is driven by busines polarisation - i.e. long tail of micro and small firms with considerably weak productivity performance. In 16 Recall that the Boone index (negative definition) here reported, is the (negative) coefficient from the marginal cost to profit regression multiplied by -1; larger numbers reflect more efficient markets and competitive prices. 21 Colombian sectors, the average firm gap has remained pretty much the same (65-68%) over the last decade whereas in Chile it has increased substantially, reaching an average of 75% (with respect to leaders or top 5%) by 2016.17 The average firm-level gap in Colombian manufacture is 67% (with respect to the median in the group of leaders). These dramatic levels of asymmetry have been previously documented by several studies (i.e., OECD (2021). Table 1 here below reports our results with OLS and two-stage least squares IV regression for pooled and panel data with fixed effects. In both techniques, standard errors are clustered at the firm level which helps us deal with heterogeneity and intra-firm serial correlation. Regressions include time and industry effects (pooled IV-2SLS and OLS). The results indicate a positive linear causal relationship for Chilean companies and a non-linear relationship in the case of Colombian firms. Instrumenting competition pulls out the significance and impact of market competition; effects that were not captured with OLS regression in the case of Colombian companies. For Chilean enterprises, correcting the endogeneity of market competition makes the impact of market competition on innovation much larger than the estimates produced by OLS regression, reflecting the bias raised by the correlation of residuals with our variable of interest. This result stresses the importance of correcting for endogeneity when evaluating the impact of market competition. We briefly discuss the adequacy of instrumentation and the validity of instruments. The implementation of two-sage least squares with instrumental variables is largely justified by the different statistical tests on the orthogonality of IVs and significance of excluded instruments. The Chi2 tests to evaluate the endogeneity of competition (and squared terms) confirm that competition is weakly exogenous and should therefore be instrumented. The Ho (Chi2) tests on the lack of significance of firsts stage residuals (for competition variables) is rejected at 1% level probability in the different samples.18 The 𝐹-test of first stage regressions confirm that our set of instrumental variables (IVs) are jointly significant and strongly correlated to competition whereas the Hansen-J tests -which is robust to heteroscedasticityindicates that orthogonality conditions are accomplished, confirming the validity of our instruments in both settings (pooled and panel 2SLSFE). 17 The 0.73 Colombian technological spread surpasses the average firm gap reported for firms in OECD countries: e.g. in Canadian firms: 0.47 (Bérubé et al., 2012), American: 0.49 (Hashmi, 2013) and British: 0.49 (Aghion et al., 2005). 18 The Chi2 tests (2) is equal to 12.87 with a p-value of 0.001 in the pooled regressions and remains significant in the panel regression (Chi2(2) tests of 15.89 with a p-value of 0.04), which means that competition should be instrumented. 22 Table 1: SECOND STAGE REGRESSIONS: THE CAUSAL EFFECT OF COMPETITION ON FIRM INNOVATION EXPLAINED VARIABLE: INNOVATION INVESTMENT DECISION COLOMBIAN ENTERPRISES CHILEAN ENTERPRISES (1) (2) (3) (4) (5) (6) (7) (8) OLS OLS IV-2SLS 2SLS-FE OLS OLS IV-2SLS 2SLS-FE Market Competition 0.002 0.013 0.651*** 0.419*** 0.035** 0.114** 0.214* 0.237* (0.004) (0.010) (0.241) (0.111) (0.016) (0.057) (0.143) (0.155) Market Competition2 -0.003 -0.177** -0.108** -0.03 -0.034 -0.074 (0.003) (0.073) (0.044) (0.021) (0.050) (0.053) Skillst-1 0.128*** 0.128*** 0.134*** 0.029 0.045** 0.044** 0.043* 0.007 (0.015) (0.015) (0.016) (0.023) (0.022) (0.022) (0.022) (0.025) Firm Sizet-1 0.102*** 0.102*** 0.107*** 0.002 0.068*** 0.068*** 0.068*** 0.002 (0.003) (0.003) (0.003) (0.007) (0.01) (0.01) (0.01) (0.03) Exporting Firm 0.059*** 0.059*** 0.051*** 0.005 0.064*** 0.064*** 0.063*** 0.104** (0.006) (0.006) (0.007) (0.007) (0.022) (0.022) (0.022) (0.042) Firm Gapt-1 -0.095*** -0.095*** -0.096*** -0.019 -0.058*** -0.058*** -0.059*** 0.01 (0.011) (0.011) (0.013) (0.015) (0.013) (0.013) (0.013) (0.021) Multinational intensityt-1 -0.226 -0.225 -0.208 0.236 0.036 0.035 0.04 0.026 (0.169) (0.170) (0.200) (0.229) (0.038) (0.038) (0.065) (0.113) Firm Age 0.01 0.009 0.009 -0.043** (0.011) (0.011) (0.011) (0.018) Capital Intensityt-1 0.010*** 0.010*** 0.013*** -0.015** (0.002) (0.002) (0.002) (0.006) Constant 0.379*** -0.271*** -0.675*** -0.238** -0.165** -0.311** (0.069) (0.028) (0.137) (0.119) (0.066) (0.141) Observations 62,121 62,121 52,183 51,836 4,139 4,139 4,139 2,543 R-squared 0.23 0.23 0.09 0.045 0.24 0.24 0.23 0.065 No. clusters (firms) 7,370 7,370 7,370 7,023 2,330 2,330 2,330 734 F Statistics 2dn Stage 114.4*** 145.1*** 23.11*** 22.617*** F Test of excluded 27.66 14.86 135.67 44.38 Stock-Yoho Weak IV (516.88 15.72 13.43 13.46 F-test first stage 37.01*** 25.28*** 154.38*** 93.87*** F-test first stage 2 33.60*** 16.26*** 218.68*** 335.15** Hansen J Statistic 7.476 1.261 13.57 0.133 Endogeneity Chi2 Test 8.864** 15.03*** 1.801** 8.17** Note: Robust standard errors clustered at the firm level (Colombia and Chile) and at the sector-level (Mexico). Regressions include sector (OLS and RE) and time dummies. Sector dummies and competition indicators are computed at the 3-digit level of the ISIC-4 classification for Colombia and Mexico; for Chile: at the 2-digit level of ISIC-4. p<0.1. The Hausman (FE vs. RE) Wald test for Colombian firms is: 415.5***, and for Chilean enterprises: 316.19.***. 29 In the case of Chilean industries, in addition to the instruments previously mentioned, we also take into consideration an important structural change in business environment policy, expected to play a significant role in shaping market competition conditions. We include a dummy equal to one starting the year the new business entry reform was introduced (2013); since this coefficient is dropped with fixed effects regression, we interact the reform dummy with our measure of entry costs, which is by definition a weighted measure of the capital requirements in each industry-year combination. This interaction term is positive and significant in the two specifications; the estimates in column (5) indicate that entry costs led to reduction in the Boone index (by restraining firm entry). In other words, sectors with higher entry costs experienced less market competition before the Business Entry Reform; afterwards the negative impact of entry costs decreased, leading to an intensification of market competition. This would mean that, more capital-intensive companies entered after the reform -which probably hesitated to open a plant or create a new company before the reform due to weaknesses in the business regulatory framework.21 As previously discussed, the Hansen-J tests confirm the validity of over-identification restrictions while the partial F-statistics also provide evidence of strong instruments.22 4.2 Firm and Sector Heterogeneity: Do technology distance and Asymmetry matter? According to theory and previous empirical research, we should expect firm distance to the frontier to strongly to strongly mediate the impact of competition on firm innovation. A negative impact is expected as firms´ (and sectors) technology distance from leaders (global leaders) increases. According to Aghion et al., (2005), stronger innovation incentives are expected in industries where productivity differences across firms are small: a steeper inverse-U shaped relation is expected in symmetrical sectors (“neck-to-neck”). This type of industry, however, barely exists in Latin America; most of industries exhibit a persistent division between a small number of large and productive firms, and a long tail of micro, small and midsize companies with considerably weaker productivity performance (i.e., Pelaez and Hurtado, 2015; Blyde and Fentanes, 2019). 21 It must be noted that gains in profit elasticity after the reform may not only come from increased entry in manufacturing, but also from a potential increase in firm entry and competition in services -which contributes to cost reduction in manufacturing. 22 For the Anderson-Rubin (AR) Wald test, the null hypothesis of coefficients (competition) equal to zero is rejected at 5% p-level; while the Kleibergen-Paap (Wald) statistic for weak instruments is above the required critical values (5% and 10%). 30 Table 3 next reports regressions from the estimation with 2SLS-FE for both Chilean and Colombian firms including interaction terms with technology distance and sectoral asymmetry indicators. 31 Table 3: COMPETITION EFFECTS: HETEROGENEOUS EFFECTS ACROSS FIRMS AND WITHIN INDUSTRIES EXPLAINED VARIABLE: INNOVATION INVESTMENT DECISION CHILEAN ENTERPRISES (IV-2SLS FE) COLOMBIAN ENTERPRISES (IV-2SLS FE) (1) (2) (3) (4) (5) (7) (8) (9) (10) Firm Gap t-1 -0.006 -0.031 -0.020 -0.030** -0.027* -0.055 0.015 0.015 0.016 (0.017) (0.097) (0.013) (0.014) (0.014) (0.088) (0.024) (0.024) -0.023 Competition 0.299*** 0.239** 0.257*** 0.323** 0.141* -0.225 0.087 0.148** (0.088) (0.115) (0.083) (0.134) (0.074) (0.219) (0.159) -0.073 Competition x Firm Gapt-1 -0.397*** -0.290* 0.050 (0.134) (0.172) (0.065) Competition2*Firm Gapt-1 0.024 (0.095) Sectoral Asymetry (average gap) 0.134*** 2.478 (0.051) (1.394) Competition x Asymetry (av. Gap) -0.364*** -1.757* (0.131) (0.382) Sectoral Asymetry (std. Dev.) -0.005 -0.020 (0.016) (0.043) Competition x Asymetry (std. Dev.) -1.282** 0.011 (0.572) (0.033) CompetitionxLeader(top25%) 0.008 0.025 (0.028) (0.036) CompetitionxFollower0.049*** 0.118** (0.017) (0.068) Leader(top25%) -0.002 0.087  (0.006) (0.082) Observations 58,909 58,909 58,909 58,909 51,836 2,343 2,343 2,343 2343 R-squared 0.15 0.15 0.17 0.17 0.10 0.00 0.03 0.01 0.03 Number of firms 7,306 7,306 7,306 7,306 7,023 700 700 700 700 Weak Identification F-Test 4.445 3.956 81.68 70.67 7.281 28.19 11.27 28.75 40.23 Hansen J Test (Validity of IVs) 48.39 45.45 49.20 48.52 35.40 2.617 1.322 4.300 3.94 Endogeneity Chi2 Test 6.498** 9.295*** 5.985** 7.264** 0.788* 7.082** 4.516* 4.597* 5.33* Anderson-Rubin Wald test (Chi-2) 69.11** 70.17** 69.53** 69.30*** 9.484*** 8.18 4.61 8.61 8.13 F Statistics 2dn Stage 353.8** 324.6*** 349.9*** 350.21*** 94.12*** 3.457*** 3.439*** 3.207*** 5.35*** F-stat. First stage (comp.) 154.07*** 149.11*** 131.3*** 116.81*** 125.52*** 38.16** 11.23*** 48.70*** 21.35*** Fstat. First Stage (gap/asymmetry*comp.) 66.48*** 66.37*** 54.32*** 118.13*** 85.35*** 17.64*** 14.87*** 35.72*** --- Note: Robust standard errors clustered at the firm level (Colombia and Chile) and at the sector-level (Mexico). *** p<0.01, ** p<0.05, * p<0.1 32 Following Wooldridge (2013), we instrument these variables, with the same baseline set of instruments plus their interactions with each of these dispersion indicators. In principle, the farther a firm is from the frontier (sector leaders), the larger the discouraging-effect from competition. We confirm the predictions about the predominance of discouragement effects in firm innovation when technology distance from leaders increases for Colombian firms (columns (1) and (2)), but not for Chilean enterprises (column (7). For Colombia, the interaction term is significant and negative but is not significant in the Chilean sample. Once we include interactions linking the square terms (competition) with the firm gap indicator, the significance of the square term disappears which indicates that the non-linearity detected previously was basically driven by firm heterogeneity. For Colombian companies, if we take the value of competition at the mean, the coefficient in column (2) implies that one standard deviation increase in firm gap reduces the probability of firm innovation investment by 21.2%. However, when looking at the marginal effects from different values of firm technology gap, we find that significant effects only exist for certain groups of firms. More specifically, this negative effect starts at the top 80 percentile of the gap distribution and further amplifies with larger gaps. Negative and significant (marginal) effects from competition only exist at very large values of firm gap -starting at a firm gap value of 0.74, but becoming only significant at a firm gap value of 0.85; that is, from the bottom 80th percentile of the firm gap distribution and beyond); for those firms very far from the frontier. At this point, estimates coefficients indicate that at this gap level, the marginal effect of competition is -0.5 (-5%), with a standard error of 0.04 and significant at the 10% p-value level (z = -1.63). At larger distance values, the negative marginal effect of competition further amplifies. This result has important policy implications and should be considered when engaging into competition reforms. This highlight the need for productivity support policies, especially for the most lagging firms. For these companies at the top 80% of firm gap distribution (with the largest gaps)-, reinforcing competition reduces innovation incentives, and makes innovation investment in these firms less likely, which will eventually contract productivity performance and widen gaps visà-vis the leaders. In contrast, for firms with small gaps, reinforcing competition encourages firm innovation engagement -as predicted in Aghion et al., (2005). In contrast, the marginal effect of competition for firms closer to the frontier firms is positive and significant. For firms at the top 25% of the firm gap distribution or with the shortest gaps (at the top p-25%, the marginal effect of competition is 7% with a standard error of 0.018 and significant at 1% (z-test=3.68); whereas for those between the 50% percentile (with a firm gap=73%) and 75% percentiles, the marginal effect is quite small (0.2) and not significantly different from zero. Thus, 33 around the middle of the distribution no significant responses exist vis-à-vis competition. If we consider how the impact of firm gap changes with changes in market competition, the predicted marginal effects are also quite striking. The marginal effect of firm gap becomes negative when markets move from less competitive to more competitive markets, according to the Boone index. As competition raises, the negative effect of firm gap amplifies; laggards have less probability to invest in innovation. In other words, reinforcing competition discourages innovation investment in less efficient firms and makes it harder for them to compete.23 These findings for Colombia are in line with those reported by Pelaez and Hurtado (2021) using the same dataset, and with those reported by Ding et al., (2016) for Chinese firms, but differ with those recently reported by Alvarez et al., (2020) for a sample of Latin American firms where no firm gap effects were found when interacting firm technology distance with competition to explain innovation engagement propensity.24 In columns (5) and (10) we include the interaction of market competition with two groups of firms: leaders -those at top 25% of the productivity distributionand followers -all the rest of firms, and we also include the dummy identifying the “leaders” group. While the latter is not significant in any of the regressions -when competition is equal to zero, leaders are not distinctive from followers in terms of innovation behaviour-, only the interaction term referring to the group of followers is significant (at the 1% level). Increasing market competition, enhances firm innovation engagement in the group of follower firms in both countries. We acknowledge that this is quite a heterogenous group of firms and may hide different responses within it. To further deepen our analysis on the role of firm heterogeneity, we test whether the way competition impacts innovation is non-linear with respect to firms’ level of productivity performance. Following Bustos (2011) and Alvarez et al., (2019), in Table 4 we include dummies reflecting firms’ position in the productivity distribution (productivity quartiles) and interact these with competition. Given that endogeneity of competition disappears once we introduce these three quartiles dummies and their interaction with competition, we implement random and fixed effect regressions. Following Bustos (2011), we expect that competition may induce innovation efforts in firms at the 23 Moving from a weakly competitive market (25th percentile of the Boone distribution: -0.66) to more competitive markets (75th percentile: 0.401) –and keeping values of other variables at their means-; moves the marginal effect of firm gap from a positive effect of 0.28 to a negative effect (-0.19). One standard deviation increase in the Boone Index (1.001) is associated with a negative marginal effect of firm gap of -0.465; which means that as competition raises, the negative effect of firm gap amplifies; laggards have less probability to invest in innovation when competition raises. 24 If we find negative responses for laggard firms in terms of innovation engagement, the results of Alvarez and Gonzalez suggest that firms may be opting for other forms of productivity-enhancing strategies, such as organizational change or quality upgrading (certifications and norms), or responses in terms of other productive investments (e.g. capital and machinery), etc. 34 top and in the middle of the productivity distribution, but not in the least productive firms. Furthermore, for the most productive firms, escape-competition may dominate specially if they compete in industries close to the frontier and in highly symmetrical sectors (Aghion et al., 2005; Aghion et al., 2009). Negative effects are expected for the bottom 25% quartile, especially if these firms are already below the innovation investment threshold (i.e. technology adoption threshold in the model of Bustos, 2011). For Colombian firms, our productivity measure is the logarithm of the TFP whereas for Chilean firms we use labor productivity. All quartiles dummies refer to the previous period. The estimates indicate important differences in competition responses across firms within the two country samples. Interestingly, the four interaction terms are significant at 1% probability level in the Colombian sample, with the largest coefficient being reported in the third quartile, in both random (column 1) and fixed effects estimation (column 2). In contrast, in the Chilean sample, only the interaction terms for the third and fourth quartile are significant, with no difference in coefficient between these two groups under fixed effects estimation. In other words, market competition only influences innovation behaviour from a medium level of productivity performance. Our analysis therefore rejects the hypothesis of negative impacts from competition expected to prevail in laggards. Both country samples indicate that the largest responses are within the group of third and fourth top quartiles, which are medium and high performing firms (Chile). The figures 1 and 2 in the Annex report the estimated predicted linear probability per group. Table 4: COMPETITION EFFECTS BY PRODUCTIVITY QUARTILE EXPLAINED VARIABLE: INNOVATION INVESTMENT DECISION COLOMBIAN FIRMS CHILEAN FIRMS VARIABLES RE FE RE FE (1) (2) (3) (4) Q1*Competition t-1 0.040*** 0.016** 0.040 0.067 (0.006) (0.007) (0.033) (0.039) Q2*Competition t-1 0.054*** 0.024*** 0.036 0.040 (0.007) (0.007) (0.028) (0.032) Q3*Competition t-1 0.069*** 0.035*** 0.056* 0.083** (0.007) (0.007) (0.033) (0.034) Q4*Competition t-1 0.050*** 0.017** 0.100*** 0.090** (0.007) (0.007) (0.032) (0.037) Q1 -0.028** -0.026* -0.025 0.068 (0.012) (0.013) (0.061) (0.078) Q2 -0.030*** -0.025** 0.015 0.089 (0.012) (0.012) (0.060) (0.072) Q3 -0.030*** -0.027** 0.043 0.083 (0.010) (0.011) (0.059) (0.064) Constant 0.529*** 2.035*** -0.109 0.508*** (0.029) (0.045) (0.120) (0.183) 35 Observations 60,448 60,448 2,147 2,147 R-squared 0.15 0.09 Number of Firms 7,420 7,420 627 627 Note: RE denotes Random Effects; FE denotes Fixed Effects. Predicted Linear probability from base on panel probability linear model with fixed effects on the set of firms reporting at least four consecutive years of data. Market Competition lagged one period. Control variables as described in Table 4. Robust standard errors in parentheses clustered at the firm unit. *** p<0.01, ** p<0.05, * p<0.1 4.4 Robustness tests We perform several robustness tests, adding covariates and considering a series of extensions for the Chilean and Colombian samples. First, as competition indicators may capture the degree of foreign competition (trade effects) we include and indicator of import penetration to test whether our results are not mainly driven by trade competition. Further, policy interventions and reforms that we use for instrumenting competition may also affect innovation incentives through other channels, such as changing trade relations. Second, we also control for business dynamics, which allow us to discriminate effects related to competitive pressures stemming from new firm entry, which may also be related to innovation incentives in incumbent firms (e.g. Aghion et al., 2009). And third, we also include firm persistence in innovation activities (i.e., Mulkay, 2019). As discussed in the literature, firm innovation is path dependent (i.e., Mansfield, 1968; Romer, 1990; Malerba and Orsenigo, 1993); firms develop dynamic capabilities which drives firm persistence to innovate and invest in innovation. Firm persistence to innovate is associated with “success-breedssuccess” effects; in other words, past innovation performance breeds new opportunities to innovate because firms already know how to address consumers demands (i.e. Romer, 1990; Peters, 2005). Further, firms with past innovation experience are more likely to invest in innovation since entry costs have already been incurred. In the Colombian regressions, we use import penetration from China (3-digit level of ISIC rev. 4) in t-1 as a measure of trade competition (from low-skilled countries); this competition indicator is expected to directly influence productivity and firm employment evolution, especially in lowskilled sectors (Iacovone et al., 2013; Blyde and Fontanes, 2019). This indicator is two years lagged to avoid any spurious correlation with our dependent variable and market competition. This data comes from the United Nations COMTRADE Database HS-6-digit, which was transformed into ISIC. Rev. 3-digit level of ISIC-4. 4).25 For Chile, we could not use this data and match them 25 Import penetration ratios are sometimes interpreted as indicators of trade protection policy: low import penetration ratios sometimes reflect restrictive trade policies, i.e. that a country is using high import duties or nontariff barriers to protect domestic producers (see OECD, 2005). 36 to our innovation surveys since the classification is only compatible with the last Innovation Survey (10th) of Chile (2015-16). 37 Table 7: ROBUSTNESS TESTS, IV-2SLS REGRESSIONS WITH FIRM FIXED EFFECTS COLOMBIAN FIRMS CHILEAN FIRMS (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) Firm Gap t-1 -0.037*** -0.030** -0.032** -0.023** -0.013 -0.009 -0.061*** -0.064*** -0.044*** -0.042*** -0.040*** (0.011) (0.014) (0.014) (0.012) (0.015) (0.014) (0.016) (0.016) (0.011) (0.015) (0.012) Competition 0.220*** 0.181*** 0.184*** 0.135*** 0.140*** 0.209** 0.241* 0.154** 0.135* 0.126* 0.187 (0.013) (0.015) (0.015) (0.013) (0.050) (0.085) (0.078) (0.078) (0.074) (0.083) (0.139) Competition2 -0.018*** -0.038*** -0.039*** -0.027*** -0.003 -0.011 -0.036 -0.039* -0.037* -0.034 -0.025 (0.006) (0.007) (0.007) (0.006) (0.007) (0.008) (0.023) (0.023) (0.021) (0.022) (0.026) Entry Rate t-1 0.103*** 0.101*** 0.073*** 0.299* 0.271a 0.278a 0.280 a (0.007) (0.007) (0.006) (0.183) (0.192) (0.194) (0.195) Import Penetration t-1 0.093*** 0.082*** 0.053** 0.059** --- --- --- --- --- (0.031) (0.026) (0.025) (0.026) --- --- --- --- --- Innovation Dummy t-1 0.296*** 0.513*** 0.557*** --- 0.176*** 0.175*** 0.176*** (0.005) (0.077) (0.081) (0.029) (0.029) (0.030) Firm Gap t-1*Competition -0.179** 0.036 (0.074) (0.075) Sector Gap t-1*Competition -0.277** -0.269* (0.122) (0.597) Sector Gap t-1 -0.008 0.296 (0.061) (0.905) Observations 60,852 60,852 60,283 60,283 43,964 43,964 2,368 2,201 2,201 2,201 2,201 R-squared 0.05 0.09 0.09 0.18 0.01 0.05 0.08 0.08 0.11 0.11 0.11 No. of Companies 7,584 7,584 7,545 7,545 6,439 6,439 681 652 652 652 652 F Test -excluded instrum. 46.29 45.07 39.62 39.60 36.86 6.097 191.8 176.5 149.8 15.849 159.5 Stock-Yogo ID test values (5%)b 21.03 21.05 21.03 21.05 ---- --- 20.48 20.48 20.65 19.94 19.77 Hansen-J Test 430.22 483.5 471.1 348.5 44.29 42.95 25.46 20.18 23.10 24.29 22.55 Endogeneity Chi2 Test 58.26*** 58.62*** 59.60*** 32.43*** 13.03*** 16.08*** 5.327** 5.044** 5.026** 4.257 3.463 F Statistics 2dn Stage 322.4*** 260.8*** 244.2*** 538.2*** 236.8*** 212.5*** 8.781 6.886 9.722 9.114 9.103 F-first stage (Competition) 96.52*** 107.57*** 104.50*** 106.90*** 114.31*** 125.06*** 223.52*** 204.71*** 186.85*** 188.58*** 203.61*** F-first stage (Competition2) 57.47*** 55.63*** 59.97*** 45.78*** 50.79*** 52.48*** 419.61** 332.42*** 378.46*** 352.22*** 384.35*** Note: All regressions include the same set of control variables as in Table 4. b: We report the critical values of the SY test considering a 5% maximal IV relative bias; the Fstatistics (excluded instruments) should be larger than critical value. Robust standard errors in parentheses clustered at the firm level. In the regressions for Colombia firms, we use the following instrumental variables: Regressions (1)-(2) and ((7)-(8) include a dummy for sectors where a sanction was issued for anti-competitive behaviour (=1 after the year of sanction), the size of the sector (total sales in each 3-digit industry) in t-1, the average growth of production (3-digit) over the last four years, plus entry cost in t-1. In the regressions (3)-(6) which include the lagged dependent variable we use 2SLS with GMM estimation. The lagged dependent variable is instrumented with the same set of excluded instruments plus the dependent variable in t-2. For the Chilean firms, the regressions in columns (7)-(8) use the same set of instruments as previously (see Table 4). In columns -11, we instrument the lagged innovation variable with the average proportion of firms engaged in any innovation activity in the same sector (t-1) plus the proportion of firms that received any public funding for innovation activities (t-1), in addition to the baseline set of instruments. Interaction terms are instrumented with the baseline set of instruments interacted with firm gap, and sector asymmetry (Wooldridge, 2013). *** p<0.01, ** p<0.05, * p<0.1. Superscript a: p< 0.15. 38 Table 5 reports these regressions for Colombian and Chilean firms. We only report estimations with IV-2SLS and firm fixed effects. Time effects are included in all regressions. Our findings remain quite close to the previous estimations, with some nuances. These tests corroborate our previous findings and provide further light on how the competition effects influence firm innovation. We find that competition still displays a causal non-linear relationship as before, but this nonlinearity fades away when we control for past innovation engagement (column 3). In column (1) (Table 8) we include the new firm entry rate and in column (2) we add the import penetration ratio; both at the same level of industry classification as our competition indicators. With the inclusion of these controls, we still find an inverse-U shaped relationship for Colombian firms, although the coefficients on competition are smaller in magnitude, compared to our first regressions. Interestingly, the dynamism of sectors (entry rate discounted of exits) has a positive incidence on firm´s innovation investment decisions, which is also an indicator of competition-encouraging effects from new firm entry. The coefficient on the import penetration indicator is positive and significant (at 1% probability level); firms in industries facing a stronger import penetration show a larger propensity to engage in innovation investment. Column (3) includes both types of competitive pressures -entry and import penetrationplus a dummy referring to innovation investment engagement in the previous period. Not surprisingly, past innovation investment (engagement dummy) has a strong impact on current firm´ innovation engagement decision. Firms who were engaged in innovation in the previous year have 30% (average in columns 4-6) higher probability of engaging into innovation investment activities than firms that were not involved in such activities in the previous year. Columns (4)-(6) report regressions including the interaction terms with firm gap and industry gap, and we keep the lagged dependent variable as additional explanatory variable. These regressions use the same set of IVs plus past innovation activity in period t-2. We confirm previous results on the negative coefficient for the interaction term linking competition and firm gap, and the negative effect of sector asymmetry in discouraging innovation effects from competition. For these estimations, we run two-step GMM estimation to deal with the autocorrelation in residuals imposed by the lagged dependent variable. As before, standard errors are robust and clustered at the firm level. Columns (5) and (6) corroborate our previous findings about a decreasing impact of competition as firm technology distance increases, and within sector asymmetry raises. For Chilean firms, the significance of competition and its linear causal effect on firm innovation investment propensity is further confirmed; although its impact is reduced as we add entry rate 45 Gorodnichenko, Y. Svejnar, Y. and Terrell K. (2008). 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Min Max Innovation Investment Dummy (expenditures STI>0) 71,650 0.352 0.478 0 1 Boone Index (Sector Level 3-digit) 71,650 0.959 0.641 -0.01 4.36 Lerner Index (Sector Level 3-digit) 71,650 0.450 0.099 0.21 1.38 Boone Standardized Index 71,650 0.002 1.001 -1.51 5.31 Skills (White Collar % in Total) 63,005 0.282 0.187 0.00 1.00 Foreign Labor (%) 63,005 0.001 0.009 0.00 0.85 Exporting Firm (% of firms) 71,650 0.244 0.429 0.00 1.00 Firm Size 63,012 3.841 1.114 0.00 8.63 Firm Gap (TFP) 62,148 0.679 0.224 0.000 1.00 Capital Intensity 62,978 11.674 1.773 0.00 18.76 Sanctioned Sectors 71,650 0.045 0.206 0.00 1.00 Sector Size (Output) 63,012 21.638 1.136 15.54 23.39 Sanctioned Sectors 71,650 0.061 0.239 0.00 1.00 Entry Costs 60,418 0.011 0.032 0.00 0.73 Import Penetration (Standardized) 54,891 -0.082 0.859 -0.80 4.98 Average Growth (four years) 71,650 0.001 0.012 -0.03 0.30 48 TABLE 2: SUMMARY STATISTICS, CHILEAN MANUFACTURING FIRMS (2011-16) Variable Obs Mean Std. Dev. Min Max Innovation Investment (dummy) 3773 0.21 0.40 0.00 1.00 R&D engagement (dummy) 4,312 0.12 0.32 0.00 1.00 R&D intensity 4,305 0.12 1.41 0.00 40.00 Technology Purchasing Intensity 4,305 0.03 0.60 0.00 25.06 R&D per employee (thousands 2009 CH$) 4,292 6518.73 80197.43 0.00 2148910 Innovation Expenditures per employee (thousands 2009 CH$) 4,292 1847.44 43688.47 0.00 2119790 Age 4,312 2.97 0.66 0.00 5.60 Export Intensity 4,312 0.35 8.66 0.00 367.30 Skills (% of with univ. & post-graduates) 4,312 0.24 0.28 0.00 1.88 Young firm (with< 10 years) 4,312 0.15 0.36 0.00 1.00 Multinational (Capital>=10%) 4,312 0.31 0.46 0.00 1.00 Competition (Boone)t-1 4,312 1.22 0.60 0.12 3.67 Lerner Index 4,312 0.70 0.05 0.51 0.80 Group Affiliation (Dummy=1) 4,312 0.24 0.43 0.00 1.00 Exporting (Dummy=1) t-1 4,312 0.29 0.45 0.00 1.00 Firm Gap t-1 4,312 0.23 0.60 -3.97 0.96 Obstacle_Finance (Very High) 4,312 0.28 0.45 0.00 1.00 Obstacle_Finance (Medium High) 4,312 0.27 0.45 0.00 1.00 Obstacle_Finance (Low) 4,312 0.15 0.36 0.00 1.00 kurtosis 4,312 24.53 15.35 4.66 78.03 49 Figure 1: Innovation Investment Propensity per Productivity Quartile, Predictive Margins (Chilean Manufacturing Firms) Note: Predicted Linear probability from base on panel probability linear model with fixed effects on the set of firms reporting at least four consecutive years of data. Market Competition lagged one period. Control variables as described in Table 4. 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