Increasingly in economics what had been considered to be unusual and unacceptable has come to be considered usual and acceptable, if not necessarily desirable. Whereas it had been widely believed that economic reality could be reasonably described by sets of pairs of linear supply and demand curves intersecting in single equilibrium points to which markets easily and automatically moved, now it is understood that many markets and situations do not behave so well. Economic reality is rife with nonlinearity, discontinuity, and (...) a variety of phenomena that are not so easily predicted or understood. At the same time the broad coherence of economic systems is more impressive than ever in the face of such phenomena. The order of the economy appears to emerge from the complex interactions that constitute the evolutionary process of the economy. These phenomena have come to be labeled as complexity in economics. Even what seems simple in economics generally arises from behavior not reflecting rational expectations; we live in a world that reflects the enormous variety and diversity of humanity in their knowledge, attitudes, and behaviors, interacting with each other in an enormous range of institutional frameworks. What emerges in the aggregate may have little to do with what happens at the individual level. But this aggregate cannot be simply described by some set of aggregate equations. It emerges out of the soup of the individual and particular with all its multiform interactions and peculiarities. (shrink)

The science writer, John Horgan (1995, 1997), has ridiculed what he labels “chaoplexology,” a combination of chaos theory and complexity theory. A central charge against this alleged monstrosity is that it, or more precisely its two component parts separately, are (or were) fads, intellectual bubbles of little consequence. They would soon disappear and deservedly so, once scholars and intellects realized what worthless dross they truly were (or are). As the culminating centerpiece of his argument, Horgan introduced the label, “the (...) four C’s,” which consist of cybernetics, catastrophe theory, chaos theory, and complexity theory.[2] More.. (shrink)

“The ‘fallacy of composition’ that drives a felicitous wedge between micro and macro, between the individual and the aggregate, and gives rise to emergent phenomena in economics, non-algorithmic ways – as conjectured originally by John Stuart Mill…, George Herbert Lewes … , and codified by Lloyd Morgan … in his popular Gifford Lectures - may yet be tamed by unconventional models of computation.” --K. Vela Velupillai (2008, p. 21).

In 1991 this author published a book entitled, From Catastrophe to Chaos: A General Theory of Economic Discontinuities with Kluwer Academic Publishers. Due to the con troversial and unusual nature of this book’s content, there was considerable difficulty in getting publishers to agree to publish it prior to its being accepted by Kluwer. Initially conceived as a heterodox challenge to established economic thinking, this book became viewed by many readers as a reference volume on applications of nonlinear dynamics in general (...) to many fields of economics. Now, in 2000 Volume 1 of the second edition has appeared from Kluwer also, subtitled, Mathematics, Microeconomics, Macroeconomics, and Finance. It covers in expanded form the material contained in the first eight chapters of the first edition. What is this book about and how does the new edition differ from the first one? The underlying philosophy presented is that discontinuities are important objects of study in economics, indeed in many disciplines beyond economics as well. Although discontinuities may arise dynamically due to random exogenous shocks, the more truly interesting ones are those that arise endogenously from dynamical economic systems. In dynamical systems discontinuities can arise endogenously in the presence of nonlinearities in the systems. Thus, the more general topic of nonlinear dynamics in.. (shrink)

We attempt to clarify divisions made by us in previous work (Colander et al., 2004a,b) between “orthodox, mainstream, and heterodox” in economics, following very useful remarks in Dequech (2007-08), whom we thank. We also provide specific advice for heterodox economists, namely: worry less about methodology, focus on being economists first and heterodox economists second, and prepare ideas to leave the incubator of heterodoxy to enter the mainstream economic debate.

“On the plane of philosophy properly speaking, of metaphysics, catastrophe theory cannot, to be sure, supply any answer to the great problems which torment mankind. But it favors a dialectical, Heraclitean view of the universe, of a world which is the continual theatre of the battle between >logoi,’ between archetypes.”.

This article describes two experiments on awareness in recognition memory for novel faces. Two kinds of awareness, recollective experience and feelings of familiarity in the absence of recollective experience, were measured by "remember" and "know" responses. Experiment 1 showed that "remember" but not "know" responses were reduced by divided attention at study. Experiment 2 showed that massed versus spaced repetition of faces in the study list had the opposite effects on "remember" and "know" responses. Massed repetition increased "know" responses and (...) reduced "remember" responses. Spaced repetition increased "remember" responses and reduced "know" responses. The results of both experiments replicate previous findings from the verbal domain in the domain of face recognition, and hence they increase the ecological validity of this experiential approach to memory and awareness and the generality of its database. These findings are discussed from a rehearsal perspective on factors influencing the two states of awareness and in relation to the alternative "process dissociation" procedure. (shrink)

This paper presents a view of the process of transition from planned command socialism to mixed market capitalism involving nonlinear complex dynamical phenomena. After the former institutional structure disappears a coordination failure can bring about macroeconomic collapse as in almost all of the former Soviet bloc or macroeconomic boom as in China. A closely linked phenomenon is the rise of the underground economy as inflation and income inequality increase. This can lead to a jump from one equilibrium to a very (...) different one as nonlinear social feedback processes operate in the transition. (shrink)

Ecologic-economic systems tend to exhibit greater complexity than systems that are purely ecological or economic. The interactions between the two types often generates nonlinear relations that lead to various kinds of complex dynamics that complicate management and decisionmaking regarding them. Of these, forests have characteristics that lead them to have special problems not usually encountered in the management of such systems. A central one is the long time periods involved managing forests compared to most other such systems. This means that (...) the issues regarding determination of discount rates for valuing future outcomes are more important for forestry management than for many other systems. Also, forests generate a wider range of externalities than do most other ecologic-economic systems, with implications for various hierarchical levels of management. This paper considers the array of these problems as they appear for a variety of forestry management issues. (shrink)

Relationships are studied between the non-observed economy, income inequality, corruption, social capital measured as trust, and various institutional quality, policy, and macroeconomic variables for a global data set of countries for two time periods accounting for social interactions. Tentative support is found for positive relations between the non-observed economy and income inequality, the non-observed economy and corruption, and a negative relation between corruption and trust. No significant relation was found between the nonobserved economy and tax rates, contrasting with previous studies (...) finding significant relations of opposite signs. Data difficulties and weak robustness tests suggest limits to our results. (shrink)

Economies making a transition from centrally planned socialism to market capitalism can experience chaotic hysteresis. This can arise from elements of the previous system persisting even as institutions are transformed with the system possibly experiencing chaos during this conflict. A model of investment cycles accompanied by technological stagnation shows this phenomenon which can be viewed from a cusp catastrophe perspective. Empirical tests of Soviet investment and construction data provide incomplete support for the cusp structure with chaos. Nonlinear structures are found (...) with bifurcation effects for all cases and possibly chaotic dynamics for five-year lagged construction data. (shrink)

“A Public Domain, once a velvet carpet of rich buffalo-grass and grama, now an illimitable waste of rattlesnake-bush and tumbleweed, too impoverished to be accepted as a gift by the states within which it lies. Why? Because the ecology of the Southwest happened to be set on a hair trigger.”.

James Madison University Harrisonburg, VA 22807 Tel: 540-568-3212 Fax: 540-568-3010 Email: [email protected].

For transition economies, income inequality is positively correlated with the share of output produced in the informal economy. Increases in income inequality also tend to be correlated with increases in the share of output produced in the unofficial economy. These hypotheses are supported significantly by empirical data for sixteen transition economies between 1987 to 1989 and 1993 to 1994. Various causal mechanisms may operate in both directions, an increasingly large informal economy causing more inequality due to falling tax revenues and (...) weakened social safety nets, and increasing inequality causing more informal activity as social solidarity and trust decline. (shrink)

Ever since the collapse of Soviet-bloc socialism, and the associated breakup of the Soviet Union itself, it has been accepted by the vast majority of political economists that Friedrich A. Hayek and his fellow Austrians, notably his mentor, Ludwig von Mises, were the unequivocal victors in the famous “socialist calculation debate” that had raged for a good seven decades. It was over. The anti-socialist, Austrian position had won. Market capitalism was triumphant in both theory and practice. The combination of lack (...) of incentives and inevitably dispersed and asymmetric information had doomed command central planning of economies, especially in an increasingly complicated modern world economy (Rosser and Rosser, 2004, Chap. 3). (shrink)

To acquaint the student with the problems of open-economy macroeconomics. These include the theory and policy issues related to the international balance of payments, the determination of foreign exchange rates, the functioning of the macroeconomy under different exchange rate regimes, the operation of macroeconomic policy under different exchange rate regimes, and the evolution and future of the international monetary system as a whole.

This paper considers the implications of complex ecologic-economic dynamics for three broad, Post Keynesian perspectives: the uncertainty perspective, the macrodynamics perspective, and the Sraffian perspective. Catastrophic, chaotic, and other complex dynamics will be seen as reinforcing the conceptual foundations of Keynesian uncertainty. Predatory-prey models will be seen as deeply linked to Post Keynesian macrodynamic models. Finally, certain cases in ecologiceconomic systems will be seen as generating such Sraffian, capital theoretic conundra as reswitching. Ecologic-economic models considered besides predator-prey will include fisheries, (...) forestry, lake dynamics, and global climatic-economic dynamics. (shrink)

The evolution of Mancur Olson’s views of his book, The Rise and Decline of Nations (1982), the middle of his three main books, is examined. It expands and extends to history and the world arguments presented in his The Logic of Collective Action (1965). While he never abandons the idea that the accumulation of interest groups in a democratic society may lead to its economic stagnation, how this comes about and can be overcome changes somewhat by the time of his (...) final book, Power and Prosperity (2000), which focuses on the problems of the transition economies and proper political governance. A sign of the greater complexity of his later views emerges in his analysis of the U.S. South, presented in his presidential address to the Southern Economic Association (1983). (shrink)

This paper presents a view of the process of transition from planned command socialism to mixed market capitalism involving nonlinear complex dynamical phenomena. After the former institutional structure disappears a coordination failure can bring about macroeconomic collapse as in almost all of the former Soviet bloc or macroeconomic boom as in China. A closely linked phenomenon is the rise of the underground economy as inflation and income inequality increase. This can lead to a jump from one equilibrium to a very (...) different one as nonlinear social feedback processes operate in the transition. (shrink)

The paper reviews statistical models for money, wealth, and income distributions developed in the econophysics literature since the late 1990s. By analogy with the Boltzmann-Gibbs distribution of energy in physics, it is shown that the probability distribution of money is exponential for certain classes of models with interacting economic agents. Alternative scenarios are also reviewed. Data analysis of the empirical distributions of wealth and income reveals a two-class distribution. The majority of the population belongs to the lower class, characterized by (...) the exponential (“thermal”) distribution, whereas a small fraction of the population in the upper class is characterized by the power-law (“superthermal”) distribution. The lower part is very stable, stationary in time, whereas the upper part is highly dynamical and out of equilibrium. (shrink)

This paper presents a stylized overview of the process of transition from planned command socialism to mixed market capitalism in stages, each involving nonlinear complex dynamical phenomena. The end of the command form arises out of a chaotic hysteretic long wave investment cycle. After the former institutional structure disappears a coordination failure brings about macroeconomic collapse. As recovery emerges various complex fluctuations of employment appear as government labor policies oscillate.

Duncan Foley’s Unholy Trinity: Labor, capital, and land in the new economy is the sixth in the series of Graz Schumpeter Lectures published by Routledge, all relatively slim volumes elucidating themes arguably related to Schumpeter, if just peripherally, and that usually summarize major arguments of the authors (previous authors were Stanley Metcalfe, Brian Loasby, Nathan Rosenberg, Ian Steedman, and Erich Streissler). In this one, which deals with questions of induced technological change in several sections, Foley attempts to provide an integration (...) of ideas that have evolved through his varied career, from high general equilibrium theorist (Foley, 1967), through deep student of Marxian economics (Foley, 1986), to complexity theorist (Foley, 1994; for more detailed discussion of his personal and intellectual path see Colander et al, 2004, Chapter 7). A central argument is that the classical political economists, not just Marx but also Adam Smith and Malthus with Ricardo (largely lumped together in his analysis), developed ideas that are well suited to representation and understanding using the methods of modern complexity economics, themes of dynamic out-of-equilibrium selforganization in systems with boundedly rational agents, in contrast to the requirements for full Walrasian general equilibrium that he studied early in his career. (shrink)

This essay reviews the arguments made for a New Austrian theory of business cycles by Tyler Cowen, based on risk analysis and assuming rational expectations. This contrasts with the Old Austrian view that questions measurable risk in economic analysis. The way risk is applied to analyze business cycles suffers from serious inconsistencies. The use of rational expectations is mistaken in the face of economic complexity as understood by the traditional Austrians. However, Cowen is commended for his open-mindedness, even as this (...) leads him away from a strictly Austrian perspective. (shrink)

Large increases unofficial economies in many transition economies arise from a dynamic interaction with rising income inequality and public sector changes in multiple equilibria system. Returns to unofficial activity are first increasing and then decreasing, implying two distinct stable equilibria, with changes in inequality possibly causing a jump from one to the other. Multiple regressions of data from 18 transition economies find income inequality significantly correlated with the size of the unofficial economy, with the maximum annual rate of inflation also (...) significantly correlated. The latter appears to be the only significant correlate with the increase in the size of the unofficial economy. (shrink)

The literature on speculative bubbles in foreign exchange rates is voluminous, with much of it failing to reject the presence of bubbles in many exchange markets.1 Serious testing of this issue began with the work of Meese (1986), Evans (1986), and Woo (1987). Each used a different approach, and each found evidence failing to reject the presence of bubbles in at least some exchange markets.

A new traditional economy combines elements of traditional culture, such as Confucianism, with a modern, technologically advanced economy, while a new institutional economy minimizes transactions costs through its institutional structure. South Korea has enhanced its competitive edge by drawing on Confucian elements such as respect for education and the search for family-like harmony in chaebol corporations that can reduce transactions costs (despite problems) in an open system. Despite also emphasizing respect for education, North Korea has drawn on anti-mercantile elements of (...) the Confucian tradition such as the excessive authoritarianism of its command socialism and the hermit-like closure induced by its juche policy of self-reliance. (shrink)

Kumaraswamy Vela Velupillai [74] presents a constructivist perspective on the foundations of mathematical economics, praising the views of Feynman in developing path integrals and Dirac in developing the delta function. He sees their approach as consistent with the Bishop constructive mathematics and considers its view on the Bolzano-Weierstrass, Hahn-Banach, and intermediate value theorems, and then the implications of these arguments for such “crown jewels” of mathematical economics as the existence of general equilibrium and the second welfare theorem. He also relates (...) these ideas to the weakening of certain assumptions to allow for more general results as shown by Rosser [51] in his extension of Gödel’s incompleteness theorem in his opening section. This paper considers these arguments in reverse order, moving from the matters of economics applications to the broader issue of constructivist mathematics, concluding by considering the views of Rosser on these matters, drawing both on his writings and on personal conversations with him. (shrink)

We examine the “new comparative economics” as proposed by Djankov et al. (2003) and their use of the concept of an institutional possibilities frontier. While we agree with their general argument that one must consider a variety of institutions and their respective social costs, including legal systems and cultural characteristics, when comparing the performance of different economic systems, we find various complications and difficulties with the framework they propose. We propose that a broader study of clusters of institutions and such (...) newly emerging forms as the new traditional economy may be better suited as ways to approach the study of comparative economics in the era after the breakdown of the old comparison of market capitalism and command socialism that came to an end with the breakup of the Soviet Union. (shrink)

Nobody has died yet as a result of the ongoing trials for transferring money internationally without a license of four Harrisonburg men from Kurdish parts of Iraq: Rashid Qambari, Ahmed Abdullah, Amir Rashid, and Fadhil Noroly. However, before coming here they were threatened because of their work for groups associated with the United States, and they were brought here by the United States government as part of Operation Pacific Haven. Saddam Hussein killed members of local Kurdish families. Qambari, convicted on (...) January 30, 2006, has stated, “If I get deported back to Iraq, I will be a nice gift to the insurgents. I will be dead.” Deportation is a possible outcome of his conviction. (shrink)

A deep theme of Austrian economics has been that of spontaneous order or selforganization of the economy. The origin of this theme dates to the putative founder of the Austrian School, Carl Menger, with his theory of the spontaneous emergence of money for transactions purposes in primitive economies being archetypal example (Menger, 1892). Menger drew this approach from the Scottish Enlightenment figures David Hume, Adam Ferguson, and Adam Smith, with the latter’s Wealth of Nations (1776) particularly important. The most important (...) developer of this idea within the tradition after Menger was F.A. Hayek (1948), who would identify this self-organization phenomenon with emergence, later expanding upon this into the broader concept of complexity (Hayek, 1952, 1967). Caldwell (2004) argues that this became an increasingly important focus of Hayek’s thought in the later years of his life. Among those examining this development in more detail besides Caldwell have been Koppl (2006, 2009), Rosser (2010a),1 and Lewis (2010). This essay will consider more thoroughly the relationship between the concepts of emergence and complexity and the roles that they have played in Austrian economics as well as more broadly in philosophy and science. An important point is that both of these concepts do not possess precise meanings; they are “terms of art” within philosophy. However, while closely linked through the general idea of a whole being “greater than.. (shrink)