The virtues and vices of equilibrium and the future of financial economics

The use of equilibrium models in economics springs from the desire for parsimonious models of economic phenomena that take human reasoning into account. This approach has been the cornerstone of modern economic theory. We explain why this is so, extolling the virtues of equilibrium theory; then we present a critique and describe why this approach is inherently limited, and why economics needs to move in new directions if it is to continue to make progress. We stress that this shouldn't be a question of dogma, and should be resolved empirically. There are situations where equilibrium models provide useful predictions and there are situations where they can never provide useful predictions. There are also many situations where the jury is still out, i.e., where so far they fail to provide a good description of the world, but where proper extensions might change this. Our goal is to convince the skeptics that equilibrium models can be useful, but also to make traditional economists more aware of the limitations of equilibrium models. We sketch some alternative approaches and discuss why they should play an important role in future research in economics. © 2008 Wiley Periodicals, Inc. Complexity, 2009

[1]  Jean-Philippe Bouchaud,et al.  Relation between Bid-Ask Spread, Impact and Volatility in Double Auction Markets , 2006 .

[2]  Ignacio N. Lobato,et al.  Long Memory in Stock-Market Trading Volume , 2000 .

[3]  Matthias Ruth,et al.  Evolutionary Economics: At the Crossroads of Biology and Physics , 1996 .

[4]  Adam Phillips,et al.  Promises, Promises , 2000 .

[5]  Tim Bollerslev,et al.  Order flow and the bid-ask spread: An empirical probability model of screen-based trading , 1997 .

[6]  C. Sims MACROECONOMICS AND REALITY , 1977 .

[7]  George Kingsley Zipf,et al.  Human behavior and the principle of least effort , 1949 .

[8]  D. Sornette,et al.  Convergent Multiplicative Processes Repelled from Zero: Power Laws and Truncated Power Laws , 1996, cond-mat/9609074.

[9]  J. Geanakoplos,et al.  Existence,regularity, and constrained suboptimality of competitive allocations when the asset market is incomplete , 1985 .

[10]  P. Clark A Subordinated Stochastic Process Model with Finite Variance for Speculative Prices , 1973 .

[11]  Paul R. Milgrom,et al.  A theory of hierarchies based on limited managerial attention , 1991 .

[12]  F. Lillo,et al.  The Long Memory of the Efficient Market , 2003, cond-mat/0311053.

[13]  R. Thaler,et al.  A Survey of Behavioral Finance , 2002 .

[14]  J. Poterba,et al.  What moves stock prices? , 1988 .

[15]  C. Klüppelberg,et al.  Modelling Extremal Events , 1997 .

[16]  K. Arrow,et al.  EXISTENCE OF AN EQUILIBRIUM FOR A COMPETITIVE ECONOMY , 1954 .

[17]  M. Paczuski,et al.  Price Variations in a Stock Market with Many Agents , 1997 .

[18]  Thomas Lux,et al.  Empirical validation of stochastic models of interacting agents , 2007 .

[19]  R. Mantegna,et al.  Scaling behaviour in the dynamics of an economic index , 1995, Nature.

[20]  Lukas Menkhoff,et al.  The noise trading approach — questionnaire evidence from foreign exchange , 1998 .

[21]  Jean-Philippe Bouchaud,et al.  Fluctuations and Response in Financial Markets: The Subtle Nature of 'Random' Price Changes , 2003 .

[22]  L. Summers,et al.  Positive Feedback Investment Strategies and Destabilizing Rational Speculation , 1989 .

[23]  Szabolcs Mike,et al.  An Empirical Behavioral Model of Liquidity and Volatility , 2007, 0709.0159.

[24]  A. Tversky,et al.  Choices, Values, and Frames , 2000 .

[25]  R. Palmer,et al.  Time series properties of an artificial stock market , 1999 .

[26]  Damien Challet,et al.  Analyzing and modeling 1+1d markets , 2001 .

[27]  Victor M. Yakovenko,et al.  Exponential and power-law probability distributions of wealth and income in the United Kingdom and the United States , 2001, cond-mat/0103544.

[28]  J. Barkley Rosser Complexity in Economics , 2004 .

[29]  J. Lintner THE VALUATION OF RISK ASSETS AND THE SELECTION OF RISKY INVESTMENTS IN STOCK PORTFOLIOS AND CAPITAL BUDGETS , 1965 .

[30]  Richard W. England,et al.  Evolutionary Concepts in Contemporary Economics , 1994 .

[31]  John Geanakoplos,et al.  Liquidity, Default and Crashes: Endogenous Contracts in General Equilibrium , 2001 .

[32]  F. Lillo,et al.  Econophysics: Master curve for price-impact function , 2003, Nature.

[33]  D. Helbing Traffic and related self-driven many-particle systems , 2000, cond-mat/0012229.

[34]  Laurent E. Calvet,et al.  Forecasting Multifractal Volatility , 1999 .

[35]  Terrance Odean Do Investors Trade Too Much? , 1998 .

[36]  David D. Van Fleet,et al.  Comments from the Editor , 1987 .

[37]  James K. Sebenius,et al.  Don't Bet on it: Contingent Agreements with Asymmetric Information , 1983 .

[38]  Richard T. Baillie,et al.  Long memory processes and fractional integration in econometrics , 1996 .

[39]  E. Fama,et al.  Efficient Capital Markets : II , 2007 .

[40]  Sergey V. Buldyrev,et al.  Scaling behavior in economics: The problem of quantifying company growth , 1997 .

[41]  R. Palmer,et al.  Asset Pricing Under Endogenous Expectations in an Artificial Stock Market , 1996 .

[42]  J. Farmer,et al.  The power of patience: a behavioural regularity in limit-order placement , 2002, cond-mat/0206280.

[43]  T. Lux The socio-economic dynamics of speculative markets: interacting agents, chaos, and the fat tails of return distributions , 1998 .

[44]  K. French,et al.  Stock return variances: The arrival of information and the reaction of traders , 1986 .

[45]  Patrik Sand̊as,et al.  Adverse Selection and Competitive Market Making: Empirical Evidence from a Limit Order Market , 2001 .

[46]  E. Fama EFFICIENT CAPITAL MARKETS: A REVIEW OF THEORY AND EMPIRICAL WORK* , 1970 .

[47]  A. Lo,et al.  Frontiers of finance: evolution and efficient markets. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[48]  H. Mendelson MARKET BEHAVIOR IN A CLEARING HOUSE , 1982 .

[49]  S. Rachev,et al.  Stable Paretian Models in Finance , 2000 .

[50]  Hersh Shefrin,et al.  A Behavioral Approach to Asset Pricing , 2005 .

[51]  F. Longin The Asymptotic Distribution of Extreme Stock Market Returns , 1996 .

[52]  V. Plerou,et al.  Scaling of the distribution of price fluctuations of individual companies. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[53]  A. Lo,et al.  What Happened to the Quants in August 2007? , 2007 .

[54]  Andrei Shleifer Clarendon Lectures: Inefficient Markets , 2000 .

[55]  M. Goldman,et al.  On the Dynamic Behavior of Prices in Disequilibrium , 1980 .

[56]  M. E. J. Newman,et al.  Power laws, Pareto distributions and Zipf's law , 2005 .

[57]  S. Winter,et al.  An evolutionary theory of economic change , 1983 .

[58]  Sanford J. Grossman On the Impossibility of Informationally Efficient Markets , 1980 .

[59]  M. Dacorogna,et al.  Heavy Tails in High-Frequency Financial Data , 1998 .

[60]  H. Geman,et al.  Order Flow, Transaction Clock, and Normality of Asset Returns , 2000 .

[61]  J. Tobin Liquidity Preference as Behavior towards Risk , 1958 .

[62]  Leigh Tesfatsion,et al.  Agent-Based Computational Economics: Growing Economies From the Bottom Up , 2002, Artificial Life.

[63]  R. Engle,et al.  The Spline-Garch Model for Low Frequency Volatility and its Global Macroeconomic Causes , 2006 .

[64]  Mark E. J. Newman,et al.  Power-Law Distributions in Empirical Data , 2007, SIAM Rev..

[65]  Thomas Lux,et al.  The stable Paretian hypothesis and the frequency of large returns: an examination of major German stocks , 1996 .

[66]  Martin Shubik,et al.  Default and Punishment in General Equilibrium , 2003 .

[67]  B. Thomas Alfred Marshall on economic biology , 1991 .

[68]  Blake LeBaron,et al.  Agent-based computational finance : Suggested readings and early research , 2000 .

[69]  Paul R. Milgrom,et al.  Bid, ask and transaction prices in a specialist market with heterogeneously informed traders , 1985 .

[70]  D. Champernowne A Model of Income Distribution , 1953 .

[71]  Benoit B. Mandelbrot,et al.  A Subordinated Stochastic Process Model with Finite Variance for Speculative Prices: Comment , 1973 .

[72]  H. Simon,et al.  ON A CLASS OF SKEW DISTRIBUTION FUNCTIONS , 1955 .

[73]  M. Mézard,et al.  Statistical Properties of Stock Order Books: Empirical Results and Models , 2002 .

[74]  R. Roll Orange Juice and Weather , 1984 .

[75]  S. Maslov Simple model of a limit order-driven market , 1999, cond-mat/9910502.

[76]  Colin Camerer,et al.  Advances in behavioral economics , 2004 .

[77]  Blake LeBaron,et al.  Empirical regularities from interacting long- and short-memory investors in an agent-based stock market , 2001, IEEE Trans. Evol. Comput..

[78]  Sergey V. Buldyrev,et al.  Scaling behavior in economics: I Epirical results for company growth , 1997, cond-mat/9702082.

[79]  Thomas Lux,et al.  The Markov-Switching Multifractal Model of Asset Returns , 2008 .

[80]  Kai Nagel,et al.  Still Flowing: Approaches to Traffic Flow and Traffic Jam Modeling , 2003, Oper. Res..

[81]  Dirk Helbing,et al.  Dynamics of crowd disasters: an empirical study. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[82]  F. Lillo,et al.  Specialization and herding behavior of trading firms in a financial market , 2007, 0707.0385.

[83]  R. Shiller,et al.  The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors , 1986 .

[84]  David A. Eliezer,et al.  Scaling Laws for the Market Microstructure of the Interdealer Broker Markets , 1998, cond-mat/9808240.

[85]  William A. Brock,et al.  Models of complexity in economics and finance , 1997 .

[86]  Stanley,et al.  Statistical properties of share volume traded in financial markets , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[87]  G. Debreu,et al.  Theory of Value , 1959 .

[88]  Alan Kirman,et al.  Ants, Rationality, and Recruitment , 1993 .

[89]  Klaus Reiner Schenk-Hoppé,et al.  Evolutionary finance: introduction to the special issue , 2005 .

[90]  J. Stiglitz,et al.  Credit Rationing in Markets with Imperfect Information , 1981 .

[91]  V. Plerou,et al.  Similarities between the growth dynamics of university research and of competitive economic activities , 1999, Nature.

[92]  T. Lux Time variation of second moments from a noise trader/infection model , 1997 .

[93]  G. Debreu The Coefficient of Resource Utilization , 1951 .

[94]  K. Arrow An Extension of the Basic Theorems of Classical Welfare Economics , 1951 .

[95]  R. Axtell Zipf Distribution of U.S. Firm Sizes , 2001, Science.

[96]  M. Friedman Essays in Positive Economics , 1954 .

[97]  Charles Gide,et al.  Cours d'économie politique , 1911 .

[98]  E. Fama The Behavior of Stock-Market Prices , 1965 .

[99]  J. Geanakoplos,et al.  Emerging Markets in an Anxious Global Economy , 2008 .

[100]  G. Becker,et al.  Irrational Behavior and Economic Theory , 1962, Journal of Political Economy.

[101]  Carl Chiarella,et al.  A simulation analysis of the microstructure of double auction markets , 2002 .

[102]  N. Johnson,et al.  Financial market complexity , 2003 .

[103]  Fabrizio Lillo,et al.  Theory for long memory in supply and demand , 2005 .

[104]  Marcia M. A. Schafgans,et al.  The tail index of exchange rate returns , 1990 .

[105]  Leigh Tesfatsion,et al.  Agent-Based Computational Economics: A Brief Guide to the Literature , 2000 .

[106]  Klaus Reiner Schenk-Hoppé,et al.  Evolutionary stability of portfolio rules in incomplete markets , 2005 .

[107]  M. Marchesi,et al.  Scaling and criticality in a stochastic multi-agent model of a financial market , 1999, Nature.

[108]  Carl Chiarella,et al.  The dynamics of speculative behaviour , 1992, Ann. Oper. Res..

[109]  A. Lo Market efficiency from an evolutionary perspective. , 2004 .

[110]  Fabrizio Lillo,et al.  There's More to Volatility than Volume , 2005 .

[111]  L. Gillemot,et al.  Statistical theory of the continuous double auction , 2002, cond-mat/0210475.

[112]  George A. Akerlof The Market for “Lemons”: Quality Uncertainty and the Market Mechanism , 1970 .

[113]  Richard H. Day,et al.  Bulls, bears and market sheep , 1990 .

[114]  Martin Shubik,et al.  Is Economics the Next Physical Science , 2005, physics/0506086.

[115]  David E. Kaun,et al.  Marketing Signaling: Informational Transfer in Hiring and Related Screening Processes. , 1974 .

[116]  Carl Chiarella,et al.  Asset price and wealth dynamics under heterogeneous expectations , 2001 .

[117]  Donald B. Keim,et al.  Empirical evidence on the behavior of institutional traders , 1995 .

[118]  G. Berns,et al.  Intertemporal choice – toward an integrative framework , 2007, Trends in Cognitive Sciences.

[119]  J. Farmer,et al.  The price dynamics of common trading strategies , 2000, cond-mat/0012419.

[120]  W. Brock,et al.  Heterogeneous beliefs and routes to chaos in a simple asset pricing model , 1998 .

[121]  S Solomon,et al.  Power-law distributions and Lévy-stable intermittent fluctuations in stochastic systems of many autocatalytic elements. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[122]  R. Officer The Distribution of Stock Returns , 1972 .

[123]  R. Lucas Econometric policy evaluation: A critique , 1976 .

[124]  Blake LeBaron,et al.  A Dynamic Structural Model for Stock Return Volatility and Trading Volume , 1995 .

[125]  L. Amaral,et al.  Scaling behaviour in the growth of companies , 1996, Nature.

[126]  Fabrizio Lillo,et al.  Market efficiency and the long-memory of supply and demand: is price impact variable and permanent or fixed and temporary? , 2006, physics/0602015.

[127]  W. Sharpe CAPITAL ASSET PRICES: A THEORY OF MARKET EQUILIBRIUM UNDER CONDITIONS OF RISK* , 1964 .

[128]  A. Timmermann Structural Breaks, Incomplete Information, and Stock Prices , 2001 .

[129]  C. Granger,et al.  A long memory property of stock market returns and a new model , 1993 .

[130]  Leigh Tesfatsion,et al.  Agent-Based Computational Economics: Growing Economies From the Bottom Up , 2002, Artificial Life.

[131]  Mary G. Finn On savings and investment dynamics in a small open economy , 1990 .

[132]  F. Fisher Disequilibrium Foundations of Equilibrium Economics , 1984 .

[133]  X. Gabaix Zipf's Law for Cities: An Explanation , 1999 .

[134]  M. Marsili,et al.  A Prototype Model of Stock Exchange , 1997, cond-mat/9709118.

[135]  J. Farmer Market Force, Ecology, and Evolution , 1998, adap-org/9812005.

[136]  H. A. Simon,et al.  Skew Distributions and the Size of Business Firms , 1977 .

[137]  Giulia Iori,et al.  Quantitative model of price diffusion and market friction based on trading as a mechanistic random process. , 2003, Physical review letters.

[138]  J. Farmer,et al.  The Predictive Power of Zero Intelligence in Financial Markets , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[139]  F Slanina Mean-field approximation for a limit order driven market model. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[140]  A. Harvey Long memory in stochastic volatility , 2007 .

[141]  Jean-Philippe Bouchaud,et al.  Bubbles, crashes and intermittency in agent based market models , 2002 .

[142]  Jean-Philippe Bouchaud,et al.  Relation between bid–ask spread, impact and volatility in order-driven markets , 2006, physics/0603084.

[143]  R. Engle Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation , 1982 .

[144]  T. Bollerslev,et al.  MODELING AND PRICING LONG- MEMORY IN STOCK MARKET VOLATILITY , 1996 .

[145]  Jean-Philippe Bouchaud,et al.  Random walks, liquidity molasses and critical response in financial markets , 2004, cond-mat/0406224.

[146]  Yi-Cheng Zhang,et al.  Minority Games , 2008, Encyclopedia of Complexity and Systems Science.

[147]  J. Doyne Farmer,et al.  Correlations and clustering in the trading of members of the London Stock Exchange , 2007 .

[148]  T. Sargent Bounded rationality in macroeconomics , 1993 .

[149]  Dhananjay K. Gode,et al.  Allocative Efficiency of Markets with Zero-Intelligence Traders: Market as a Partial Substitute for Individual Rationality , 1993, Journal of Political Economy.

[150]  P. Phillips,et al.  Testing the covariance stationarity of heavy-tailed time series: An overview of the theory with applications to several financial datasets , 1994 .

[151]  Michel L. Goldstein,et al.  Problems with fitting to the power-law distribution , 2004, cond-mat/0402322.

[152]  B. Mandelbrot The Variation of Certain Speculative Prices , 1963 .

[153]  Ian Domowitz,et al.  Auctions as algorithms : Computerized trade execution and price discovery , 1994 .