The irresistible charm of the micro-foundations dogma or the overwhelming force of the discipline's hard core?
Abstract
EconStor is a publication server for scholarly economic literature, provided as a non-commercial public service by the ZBW.
Full text
Skouras, Thanos; Kitromilides, Yiannis Article The irresistible charm of the micro-foundations dogma or the overwhelming force of the discipline's hard core? European Journal of Economics and Economic Policies: Intervention (EJEEP) Provided in Cooperation with: Edward Elgar Publishing Suggested Citation: Skouras, Thanos; Kitromilides, Yiannis (2014) : The irresistible charm of the micro-foundations dogma or the overwhelming force of the discipline's hard core?, European Journal of Economics and Economic Policies: Intervention (EJEEP), ISSN 2052-7772, Edward Elgar Publishing, Cheltenham, Vol. 11, Iss. 1, pp. 67-79, https://doi.org/10.4337/ejeep.2014.01.06 This Version is available at: https://hdl.handle.net/10419/277291 Standard-Nutzungsbedingungen: Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Zwecken und zum Privatgebrauch gespeichert und kopiert werden. Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich machen, vertreiben oder anderweitig nutzen. Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, gelten abweichend von diesen Nutzungsbedingungen die in der dort genannten Lizenz gewährten Nutzungsrechte. Terms of use: Documents in EconStor may be saved and copied for your personal and scholarly purposes. You are not to copy documents for public or commercial purposes, to exhibit the documents publicly, to make them publicly available on the internet, or to distribute or otherwise use the documents in public. 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/4.0/
The irresistible charm of the micro-foundations dogma or the overwhelming force of the discipline’shardcore? Thanos Skouras * Emeritus Professor of Economics, Athens University of Economics and Business, Greece Yiannis Kitromilides * Associate Member, Cambridge Centre of Economic and Public Policy, Department of Land Economy, University of Cambridge, UK The appeal of the ‘Micro-foundations’project, which requires that all macroeconomic propositions are reduced to or derived from microeconomic ones, is strongly supported by the considerable force of what Lakatos calls the discipline’s‘hard core’. This is particularly so if this project is broadly interpreted as a way of giving precedence to microeconomics in unifying economic theory. Given the micro-theoretical nature of the ‘hard core’, questioning the Micro-foundations project is tantamount to confronting the ‘hard core.’The paper questions the two most fundamental tenets of the ‘hard core’: maximization of utility and maximization of profit. It concludes that privileging micro over macro theory does not ensure sound foundations of the economics discipline and the Micro-foundations project makes little sense. Consequently, the search for consistency between microeconomics and macroeconomics should best be pursued in terms of a ‘bridge’rather than a ‘foundations’metaphor. Keywords: micro-foundations, ‘hard core’, utility maximization, profit maximization, methodological individualism, fallacy of composition, ‘unity of science’, professionalization of economics JEL codes: A, A1, A14, B, B4, B41, D, DO1 1 INTRODUCTION ‘Micro-foundations’is a relatively recent term in economics, with a life that hardly exceeds half a century. It is in fact encapsulating a metaphor, which ordains the relationship between microeconomics and macroeconomics. According to the metaphor, microeconomics constitutes the foundations of macroeconomics. It follows that macroeconomic theory without microeconomic foundations is unreliable and defective. The lack of foundations in any construction –theoretical as well as physical –makes it prone to collapse and, therefore, untrustworthy if not downright dangerous and worthless. Metaphors tend to shape and direct thinking. They can be very powerful in framing the process of thought and enabling it to make connections and inferences on the basis of analogies. By the same token, they block (or at least make less likely or promising) * We are thankful to the Bilbao conference participants and to an anonymous referee for constructive comments. We are, of course, solely responsible for any errors and omissions. Received 31 August 2013, accepted 15 December 2013 European Journal of Economics and Economic Policies: Intervention, Vol. 11 No. 1, 2014, pp. 67–79 © 2014 The Author Journal compilation © 2014 Edward Elgar Publishing Ltd The Lypiatts, 15 Lansdown Road, Cheltenham, Glos GL50 2JA, UK and The William Pratt House, 9 Dewey Court, Northampton MA 01060-3815, USA
the exploration of possible alternatives outside their own framing of an issue. When they are not perfectly apposite, and especially if they harden into a dogma, they can become a barrier to fresh thinking and the development of a discipline. Consequently, the appropriateness of a metaphor is all-important. Is the Micro-foundations metaphor an appropriate one or is it dangerous and misleading? According to King (2012), it is the latter. 1 Moreover, he argues convincingly that the appropriate metaphor for the relationship between micro and macro is that of a bridge between the two rather than foundations of one by the other. Macroeconomics is not built on and does not need foundations provided by microeconomics; each one is constructed on separate foundations and what is required is a bridge between them. King (2012) considers in some detail the history of the Micro-foundations metaphor and shows how this form of reductionism, which has counterparts not only in the philosophy of science but also in sociology, political theory, and history, has taken root in economics and rapidly hardened into a dogma. There are two serious objections to the Micro-foundations dogma which render problematic all reductionist projects in every scientific field: the principle of ‘downward causation’and the ‘fallacy of composition.’ Thefirstofthesehastodowiththeeffectsthatthewholehasontheparts,which often tend to characterize complex systems. The whole or higher-level constructs may affect smaller units in ways which constrain, shape, or motivate their behavior. The structure of the whole is absent in the parts and this is what makes the whole more than the sum of its parts. It is also the reason why the behavior of the parts does not suffice to provide an explanation of the behavior of the whole. This is reflected in the second related principle, which is the ‘fallacy of composition.’Here again, what is true and applies to the constituent parts cannot be aggregated and loses its validity when applied to the whole. The whole is characterized by emergent properties that are not contained in the parts and may be not only different but even negate the properties characterizing the parts, by standing in complete opposition to them. King lists a number of such fallacies in economics, the best known of which is the paradox of thrift. 2 Nevertheless, the fascination exerted by the Micro-foundations project is not easy to overcome. The ideal of ‘unity of science,’in which logical contradictions or inconsistencies do not exist and all knowledge is firmly based on the most fundamental elements, seems to be extremely appealing not only in economics but throughout the scientific community. The literature debating this matter is huge and extends beyond the philosophy and methodology of science to practically every field of scientific discourse. Its extent and complexity are such that it would be presumptuous for the ordinary economist to have strong, let alone dogmatic, views on this issue. OuraiminthispaperistoconsidertheMicro-foundationsquestionineconomics from a practical, common-sense point of view. In economics, the strength and tenacity of the Micro-foundations project seems to spring from a number of special factors, which tend to reinforce its universal primary attractiveness. The first three of these factors increase its appeal, acting like carrots, while the fourth has a dissuasive role and acts more like a stick. The three that enhance its appeal are adequately covered by King (2012), but the last one, to which he pays little attention, may be the most important. We will proceed as follows: in Section 2 we will discuss briefly the three factors that enhance the appeal of 1. In fact, anyone interested in the question of Micro-foundations, and especially if one is a heterodox economist, can do no better than read King’s book, which has to be the starting point for any future dialogue in this field. 2. This, as Keynes has noted, was clearly perceived 300 years ago by Bernard Mandeville in his 1714 Fable of the Bees. 68 European Journal of Economics and Economic Policies: Intervention, Vol. 11 No. 1 © 2014 The Author Journal compilation © 2014 Edward Elgar Publishing Ltd
the dogma; while in Section 3 we will examine the fourth factor, the disciplinary role and force of the ‘hard core’. In Section 4 we consider the principal failings of the ‘hard core’; and in Section 5 we present some conclusions. 2 THE FACTORS THAT ENHANCE THE APPEAL OF MICRO-FOUNDATIONS The first factor is the strong predilection of the economics discipline, at least since the neoclassical revolution in the end of the nineteenth century, for methodological individualism. This is the notion that social phenomena result from the actions of individual agents and can be fully explained only by reference to the views and actions of individuals. 3 Methodological individualism clearly implies the methodological primacy of microtheory. It follows that the reconstitution of the unity and integrated character of economic theory, which had been the proud achievement of neoclassical economics and distinguished the discipline from the other social sciences (until the appearance of macroeconomics), must respect this methodological desideratum. If economic theory is to be unified, this must be done in a way that preserves the primacy of micro-theory. Micro-foundations do exactly this: they assert the primacy of micro-theory in unifying economic theory. Establishing Micro-foundations means that all propositions in macroeconomics must be reducible to microeconomic propositions relating to the behavior of individual agents. It is this belief that King (2012) calls ‘the Microfoundations dogma’ and shows convincingly to be untenable. From this he draws the conclusion that neither can the primacy of micro-theory be established and justified nor is it essential for economic theory to be unified. Though we are in agreement with King’s (2012) conclusion, we think that his interpretation of Micro-foundations is unnecessarily strict. It is possible to show, we believe, that the Micro-foundations notion is untenable and undesirable, even on a less strict and ambitious interpretation of their aim. Such a demonstration, which we will attempt below, clearly strengthens the case against Micro-foundations: If they are indefensible on a less demanding interpretation, they are a fortiori untenable on a more stringent one. It also closes the escape route for the defense of Micro-foundations on the grounds that they never had such an ambitious aim (that is, of making all macroeconomic propositions reducible to microeconomic ones) and that King (2012) set up a straw man in order to easily demolish it. The excessive strictness of King’s (2012) interpretation becomes immediately apparent in the case of the post-Keynesians’reference to Micro-foundations. Weintraub (1956), who was the first economist to use the term in print, certainly did not claim that all macroeconomics is or should be reducible to microeconomics, and rejected this dogma. The same is true of Davidson’s (1977) claim that the Micro-foundations for post-Keynesian economics have been provided by Marshall and Keynes, or Arestis’s(1992)viewthatEichner’s(1976) model fulfills this task or, finally, those who argue that the Micro-foundations are contained in Kalecki. None of them has stated that all macroeconomic propositions in post-Keynesian economics are reducible to the microeconomic theory to be found in Marshall, Keynes, Eichner, or Kalecki. What they seem to be saying is that such microeconomic theory is consonant with and can easily be integrated within post-Keynesian economics. 3. The notion has obtained popular notoriety from Margaret Thatcher’s proclamation that ‘there is no such thing as society; there are individual men and women, and there are families.’ The charm of the micro-foundations dogma or the force of the discipline’s hard core? 69 © 2014 The Author Journal compilation © 2014 Edward Elgar Publishing Ltd
King (2012) is, of course, quite right in pointing out that compatibility and ease of integration do not constitute foundations. A suitable metaphor might be that of a bridge or some similar structure, which highlights the assimilation potential of such micro-theory into post-Keynesian economics. The use of the Micro-foundations metaphor is unfortunate and plays into the hands of the dedicated supporters of methodological individualism. It is ideally suited to methodological individualism but quite inappropriate to anyone who denies the primacy of micro-theory and is only interested in the compatibility and even, to the extent that it is possible, the consistency between microeconomics and macroeconomics. The second factor increasing the attractiveness of the Micro-foundations metaphor is related to the political ideology of classical liberalism, with which the discipline was associated practically from its beginnings. Classical liberalism emphasized the precedence of individuals and its main concern was the liberation of individuals from the shackles of the (mercantilist pre-modern) state. The Micro-foundations project is not just in accord with this ideology but has become its theoretical mainstay. General equilibrium theory is the highest achievement of the micro approach in full conformity with the Micro-foundations project. 4 It demonstrates that perfectly competitive markets are capable, albeit under quite strict conditions, of generating a socially optimal configuration of relative prices. It thus vindicates Adam Smith’s conjecture that such markets can operate like an ‘invisible hand,’so as to bring about the socially most desirable allocation of products and resources. This is popularly interpreted in a vulgar fashion, as ‘proving’the state’s inability to improve on the outcomes of an economy consisting of perfectly competitive markets. 5 The third factor enhancing the appeal of Micro-foundations springs from the gradual professionalization of economics and its establishment as an academic discipline in university studies. Given that physics was the most developed scientific field, economics aspired to imitate it by using its methods and approach for the study of society. This ‘physics envy’ promoted not only the use of mathematics in economics but also the emulation of physics, at least as it was popularly understood, in seeking more fundamental explanations of nature, at the ‘micro’level of the atom or even below. 3 THE FORCE OF THE ‘HARD CORE’ The fourth factor is also due to the professionalization of the discipline, but in its more mature stage. By the 1970s, when the Micro-foundations project (and name) had become firmly entrenched and effectively a dogma, economics was already established as an academic discipline throughout the world. Professionalization implied a canonization of the discipline’s‘hard core,’in Lakatos’s (2001) sense, 6 together with the creation of 4. The claim that the general equilibrium approach is the highest achievement of economic theory has been canonized by Schumpeter (1954). 5. In contrast, macroeconomics was associated, from its much later beginnings in the late 1930s, with the malfunctioning of markets and the corrective potential of the state. This disaccord with the basic ideological tenets of the discipline was a handicap right from the start and may be a motive even today for seeking the replacement of macroeconomics by Dynamic Stochastic General Equilibrium modeling. 6. Lakatos’s philosophy of science can be seen as a bridge from Popper to Kuhn. Starting from a Popperian background, Lakatos attempts to meet the criticism that Popper’s falsificationist theory of scientific progress fails itself to pass the test of history. At the same time, he attempts to overcome the difficulty that Kuhn’s theory of scientific progress has in explaining a paradigm shift on rational grounds. Though his success in this endeavor may be debatable (theory choice is not purged of social 70 European Journal of Economics and Economic Policies: Intervention, Vol. 11 No. 1 © 2014 The Author Journal compilation © 2014 Edward Elgar Publishing Ltd
internal hierarchies. Such hierarchies or ‘high priesthoods’were already in place by the 1970s, with the best American universities being at the top of the professional pyramid. What was taught there set the professional standard and became the required knowledge everywhere else. By the same token, training outside or contrary to the ‘hard core’made a successful academic career practically impossible. Respect of the ‘hard core’, as specified and supervised by the ‘high priests’was, therefore, a sine qua non for such a successful career. PhD students were quite aware of the high risk involved in being critical of the ‘hard core,’and those wishing to pursue an academic career learned to practically identify it with doing economic ‘science.’ 7 What is the discipline’s‘hard core’and how does it affect the Micro-foundations project? Even if there is some haziness at the edges, it is clear that the ‘hard core’includes certain tenets and methods, which define the academic practice of contemporary economics. A distillation of its essence is as follows. In economic explanation, there are two types of optimizing agents: individuals (mostly consumers but also workers) and firms. Consumers maximize utility (subject to a budget constraint) and firms maximize profits (subject to the technical conditions of production). On the basis of such maximization, demand and supply schedules can be specified for each product and these determine relative prices throughout the economy. The associated methods involve the construction of mathematical models, which formulate most questions as problems of maximization under constraints, and the generalized use of demand and supply schedules for the determination of prices, at the level both of markets (partial equilibrium) and of the whole economy (general equilibrium). These elements are closely interrelated, and they buttress and fortify one another. It might be argued that additional tenets and methods ought to be considered as part of the ‘hard core,’but it can hardly be disputed that the ones above, which form an integrated whole, are undoubtedly included and cannot be dissociable from it. It is evident that the ‘hard core’consists essentially of micro-theory. Consequently, it has an affinity with, and cannot fail to favor the vision and aim of, the Micro-foundations project. There are, of course, reservations about the feasibility of the project, and these have been expressed by a number of prominent neoclassical economists (for example, Paul Samuelson and Milton Friedman, as noted by King (2012)). But even if these reservations are heeded by some economists, for many others the Micro-foundations project remains a desirable vision, which may be possible to achieve some day. In the meantime, a less strict and ambitious version of the Micro-foundations that seems more defensible can prove useful to the support of the ‘hard core.’A defensible version of Micro-foundations may be promoted and effectively serve to shield the ‘hard core’from fraying, as well as to impose discipline and restrain younger colleagues from straying out of the canonical pathway. factors and the problem of incommensurability is not resolved), he introduces a more nuanced view of the scientific paradigm (which he calls a ‘research programme’), by distinguishing between the ‘hard core’and the ‘protective belt.’We feel that Lakatos’s concept of the ‘hard core’is more expressive and less worn out than Kuhn’s‘paradigm,’which is the obvious alternative concept. Moreover, the methodology espoused by the majority of the economics profession seems to be closer to Popper than to Kuhn; and Lakatos’s work has attracted considerable attention among economists (see, for example, Latsis 1976). In any case, we have no strong views on the Lakatos vs Kuhn debate and it should be clear that, for the purposes of our paper, there would be no significant loss in meaning from the substitution of ‘paradigm’for ‘hard core’. Therefore, readers more familiar or at ease with the former are welcome to substitute the notion of ‘paradigm’for that of the ‘hard core.’. 7. This is still the case, and the ‘hard core’today has as much (if not more) power as it had then. An example of how present-day prospective young academics experience the power of the ‘hard core’ can be downloaded and found at: economistsview.typepad.com/economistsview/2011/04/what-i- learned-in-econ-grad-school.html. The charm of the micro-foundations dogma or the force of the discipline’s hard core? 71 © 2014 The Author Journal compilation © 2014 Edward Elgar Publishing Ltd
This less ambitious interpretation of the Micro-foundations does not require that all propositions in macroeconomics are reducible to microeconomics. It requires instead that the central tenets and methods of the ‘hard core’be respected in macroeconomics. Given that these are essentially micro-theory, the resulting macroeconomics may be taken to be dependent on Micro-foundations. In other words, the metaphor is changed almost imperceptibly, so that it may still apply. Even if macroeconomics cannot be fully constructible from or reducible to microeconomics, it is constructed by and is heavily dependent on material provided by microeconomics. The Micro-foundations project is that micro-theory should provide the main, if not all (as would be preferable), building blocks for the construction of macroeconomics. In this way, the Micro-foundations project becomes tantamount to showing the greatest possible respect for the ‘hard core.’The metaphor is still applicable and acquires even more force since it serves a twin purpose: it not only directs and shapes thinking in the manner of any attractive metaphor, but it also disciplines thinking to respect the ‘hard core.’ 8 The Micro-foundations metaphor can be criticized, given this less strict interpretation, only by a frontal attack on the ‘hard core.’ 9 This is obviously a big and difficult task, which is beyond our ability to bring to a fully conclusive end. In the rest of this paper, however, we will attempt to shake the confidence in the validity of the ‘hard core.’If the ‘hard core’is problematic and of doubtful validity, then the Microfoundations project loses its purpose. Losing trust in the ‘hard core’removes the reason for privileging micro-theory over macroeconomics. As a result, King’sposition,that the appropriate metaphor is one of a bridge between micro and macro (a strong and reliable bridge that is still in need of construction), gains ground and can more easily become acceptable. Though our attempt may not lead to a complete rout of the Micro-foundations dogma, we expect that it will weaken it and, hopefully, make it clear why we find it unconvincing. 4 THE FAILINGS OF THE ‘HARD CORE’(OR BLUNTING THE DISCIPLINE’S LABRYS) 10 The ‘hard core’has a number of failings and is unconvincing in various aspects. Here, we will examine the most important under two subheadings: first, the maximization of 8. It is thus undoubtedly an important constitutive metaphor, which determines what makes sense in the discipline’s discourse and what does not. King (2012) is perfectly aware of the constitutive (rather than just pedagogical or heuristic) nature of the Micro-foundations metaphor for neoclassical economics and its role in delineating the Lakatosian ‘hard core.’He even describes in a footnote the reaction of a ‘very smart’young neoclassical theorist who could hardly distinguish the metaphor from the ‘hard core,’finding the need for Micro-foundations evident and not requiring justification. An explanation for the smart young academic’s reaction may be that he interpreted the Micro-foundations metaphor less strictly than King (2012), in the manner suggested above. 9. It may be argued that the ‘hard core’is irrefutable by fiat, since the realism of assumptions is considered by Friedman (1953) and many others to be irrelevant, and only the predictions (which also involve the ‘protective belt’) are to be rigorously tested. Apart from the dubiousness of this methodological position (see Nagel 1963), there is the possibly more serious problem that, as Blaug (1980: xiii) has complained, ‘economists do not practice what they preach’and hardly ever perform critical tests which may decisively refute any theory. 10. The labrys is the sacred double-headed axe of Minoan Crete. Metaphorically, the economics academic profession also has a sacred double-headed axe; its two heads are the ‘hard core’and the microeconomics-based ‘unity of science.’It should be made clear that the micro-theory with which 72 European Journal of Economics and Economic Policies: Intervention, Vol. 11 No. 1 © 2014 The Author Journal compilation © 2014 Edward Elgar Publishing Ltd
utility; and second, the maximization of profits. We will appeal to work and results, not only of unorthodox schools of thought but also of prominent neoclassical economists. The latter are quite subversive of the ‘hard core’and, presumably for this reason, ignored by the orthodoxy. 4.1 Maximization of utility The use of this notion in economics has its origins in political philosophy and, more specifically, in J. Bentham’s school of utilitarian philosophy, which argued that the aim of government ought to be the maximization of collective utility. It became a central notion in the neoclassical revolution, which explained prices as the outcome of the interaction between individual buyers maximizing utility and individual sellers maximizing profit in perfectly competitive markets. As it is clearly a crucial part of the neoclassical ‘hard core,’it has been argued that it is futile to criticize it. 11 Nevertheless, an unobservable concept that is held beyond question is not particularly convincing to anyone who is not compelled to share the neoclassical faith, especially since a new discipline –behavioral economics –has sprung up during the past quarter century in radical opposition to it. Based on the pioneering experimental work of Kahneman/ Tversky (1979; 1982), behavioral economics has amassed considerable evidence that decisively undermines utility maximization as a realistic basis for the explanation of human behavior. This new discipline initially appeared in business departments and, though it covers common ground with economics, it intellectually owes nothing to economic theory and everything to psychology and the experimental sciences. ‘In fact, until about 1990, it was not uncommon to get a paper returned from a journal (usually after a delay of about a year) with a three sentence referee report saying “this isn’t economics”’ (Camerer et al. 2004: xxi). 12 Even today, the vast majority of the economics profession has no understanding and little awareness of behavioral economics research. So far as the neoclassical ‘hard core’is deemed worth defending, behavioral economics will not be seen as valid research but as a threat to ‘economics.’ Maximization of utility for many economists is the exclusive basis for the derivation of downward-sloping demand curves (the ‘law’of demand). 13 Given the plausibility and we are concerned does not represent all of microeconomics but the ‘positive’(rather than normative) central body of theory, which forms part of the sacred axe. Game theory, the theory of auctions and other micro-based subjects, which are not relevant for the derivation of macroeconomics from microeconomics, are outside the scope of our analysis. Our critique is addressed solely to the microeconomics core, which can serve as the Micro-foundations of macroeconomics, rather than to the entire field of microeconomics. 11. For example, Boland (1981: 1036) considered it to be a metaphysical statement (his term for the ‘hard core’) and wrote thus: ‘The research program of neoclassical economics is the challenge of finding a neoclassical explanation for any given phenomenon –that is, whether it is possible to show that the phenomenon can be seen as a logical consequence of maximizing behavior –thus, maximization is beyond question for the purpose of accepting the challenge.’ 12. The authors are careful not to antagonize or threaten orthodox economists, who are institutionally in a much stronger position (presumably in the hope that they will overcome their distrust and become acceptable to economics departments), but it is difficult to see how their research could possibly be reconciled with the orthodoxy’s‘hard core.’ 13. Gustav Cassel was one of the few economists who treated downward-sloping demand curves as a‘primitive’empirical fact, rejecting the need for its explanation on the basis of utility maximization. See Stigler (1950). The relevance of consumer theory in this respect was also questioned by Mishan (1961). The charm of the micro-foundations dogma or the force of the discipline’s hard core? 73 © 2014 The Author Journal compilation © 2014 Edward Elgar Publishing Ltd
widespread evidence of a negative relationship between quantity demanded and price, its logical derivation from utility maximization (which is demonstrated often in great detail in all microeconomics textbooks) facilitates acceptance and reinforces belief in utility maximization. But this seemingly strong support of this part of the ‘hard core’ by another (the ubiquitous demand and supply model) is quite illusory. Leaving aside the problematic nature of the demand and supply construction, 14 it is not true that the inverse relationship between quantity demanded and price requires acceptance of utility maximization. In a brilliant and unintentionally subversive early article, Becker (1962) has shown that utility maximization and indeed rationality are redundant for the derivation of the law of demand. The so-called ‘law’can be derived even if behavior is irrational and nonmaximizing. Thus, even on the assumption that behavior is based on habit or is random, the relationship between quantity demanded and price is an inverse one and the ‘law’of demand still holds. Becker (1962) shows that a negatively inclined demand curve holds not only in the case of consumption goods markets, when consumers are not rational, but also in markets for inputs demanded by irrational firms (that is, firms which do not maximize profits). In both cases, the reason is that there exist definite opportunity sets which are facing both types of irrational buyers and these opportunity sets are dependent on prices. The opportunity set facing consumers is determined by their income budgets, while the opportunity set for firms is given by the requirement that they avoid losses (that is, the set is limited to decisions which involve non-negative profits). A higher price for a good or input restricts its availability relative to others within the relevant opportunity set. As a result, the change in the opportunity set will render impossible certain previous decisions and will force some irrational buyers to reduce the quantity demanded, since the formerly desired higher quantity is no longer affordable. Becker’s (1962) demonstration that the ‘law’of demand holds independently of utility maximization by rational agents is based on the heterogeneity of the irrational agents. It would not be possible to derive on the basis of a representative agent, in the manner of the Micro-foundations project, and shows that the properties of aggregates (which, in this instance, are product or input markets rather than the macroeconomy) cannot be obtained by the analysis of a representative individual. 15 The importance of heterogeneity is further confirmed by another relatively neglected result by Hildenbrand (1994), who showed that the ‘law’of demand is an effect of aggregation, which is ensured so long as the agents (that is, buyers) are sufficiently heterogeneous. On the basis of the above results, it may be concluded that utility maximization is not necessary for the derivation of the ‘law’of demand. But is it sufficient? Does utility maximization lead inescapably to an inverse relationship between price and quantity demanded? The so-called ‘Sonnenschein–Mandel–Debreu theorem’(see Rizvi 2006) demonstrates that the general equilibrium model cannot be guaranteed to have a unique solution. This is considered to have far-reaching implications. One of these implications seems to be that utility maximization by rational individual agents does not assure the ‘law’of demand holding in all markets. Consequently, utility maximization appears to be neither necessary nor sufficient for the derivation of the ‘law’of demand. 14. See Skouras (1980). 15. The defects of any analysis based on the notion of a representative agent are shown clearly by Hartley (1997). The aggregation problems faced by representative agent models concern both consumption (Kirman 1992) and production (Fisher 1969). 74 European Journal of Economics and Economic Policies: Intervention, Vol. 11 No. 1 © 2014 The Author Journal compilation © 2014 Edward Elgar Publishing Ltd