Do People Play Nash Equilibrium? Lessons From Evolutionary Game Theory

Evolutionary game theory provides an answer to two of the central questions in economic modeling: when is it reasonable to assume that people are rational? And, when is it reasonable to assume that behavior is part of a Nash equilibrium (and if it is reasonable, which equilibrium)? The traditional answers are not compelling, and much of evolutionary modeling is motivated by the need for a better answer. Evolutionary game theory suggests that, in a range of settings, agents do (eventually) play a Nash equilibrium. Moreover, evolutionary modeling has shed light on the relative plausibility of different Nash equilibria.

[1]  C. Darwin,et al.  The life and letters of Charles Darwin, including an autobiographical chapter, Vol 2 (7th ed., rev.). , 1888 .

[2]  R. R. Bush,et al.  A Mathematical Model for Simple Learning , 1951 .

[3]  T. Schelling,et al.  The Strategy of Conflict. , 1961 .

[4]  C. Darwin,et al.  The Life and Letters of Charles Darwin: Including an Autobiographical Chapter , 1972 .

[5]  J. M. Smith,et al.  The Logic of Animal Conflict , 1973, Nature.

[6]  J M Smith,et al.  Evolution and the theory of games , 1976 .

[7]  W. Hines Three characterizations of population strategy stability , 1980 .

[8]  Zbigniew Nitecki,et al.  Global Theory of Dynamical Systems , 1980 .

[9]  E. C. Zeeman,et al.  Population dynamics from game theory , 1980 .

[10]  R. Selten A note on evolutionarily stable strategies in asymmetric animal conflicts. , 1980, Journal of theoretical biology.

[11]  W. Hamilton,et al.  The evolution of cooperation. , 1984, Science.

[12]  E. Zeeman Dynamics of the evolution of animal conflicts , 1981 .

[13]  A. Michalos Rational Behavior and Bargaining Equilibrium in Games and Social Situations , 1982 .

[14]  B. Bernheim Rationalizable Strategic Behavior , 1984 .

[15]  Günther Palm,et al.  Evolutionary stable strategies and game dynamics for n-person games , 1984 .

[16]  David Pearce Rationalizable Strategic Behavior and the Problem of Perfection , 1984 .

[17]  J. Mertens,et al.  ON THE STRATEGIC STABILITY OF EQUILIBRIA , 1986 .

[18]  E. Vandamme Stability and perfection of nash equilibria , 1987 .

[19]  David M. Kreps,et al.  Signaling Games and Stable Equilibria , 1987 .

[20]  Josef Hofbauer,et al.  The theory of evolution and dynamical systems , 1988 .

[21]  J. Elster Social Norms and Economic Theory , 1989, Handbook of Monetary Policy.

[22]  H. Peyton Cooperation in the Short and in the Long Run , 1990 .

[23]  H. Peyton Young,et al.  Stochastic Evolutionary Game Dynamics , 1990 .

[24]  L. Wolsey,et al.  Economic Decision Making : Games, Econometrics and Optimisation : Contributions in Honour of Jacques H. Drèze , 1992 .

[25]  David M. Kreps,et al.  Game Theory and Economic Modelling , 1992 .

[26]  David M. Kreps,et al.  A Course in Microeconomic Theory , 2020 .

[27]  I. Gilboa,et al.  Social Stability and Equilibrium , 1991 .

[28]  Akihiko Matsui,et al.  Cheap-Talk and Cooperation in a Society , 1991 .

[29]  Roger B. Myerson,et al.  Game theory - Analysis of Conflict , 1991 .

[30]  D. Friedman EVOLUTIONARY GAMES IN ECONOMICS , 1991 .

[31]  D. Fudenberg,et al.  Evolutionary Dynamics with Aggregate Shocks , 1992 .

[32]  Recent Developments in Game Theory , 1992 .

[33]  J. Rousseau,et al.  Discourse on the Origin of Inequality , 1992 .

[34]  Jeroen M. Swinkels Evolutionary stability with equilibrium entrants , 1992 .

[35]  George J. Mailath,et al.  Introduction: Symposium on evolutionary game theory , 1992 .

[36]  Glenn Ellison Learning, Local Interaction, and Coordination , 1993 .

[37]  H. Young,et al.  The Evolution of Conventions , 1993 .

[38]  K. Wärneryd Cheap Talk, Coordination, and Evolutionary Stability , 1993 .

[39]  L. Samuelson Recent advances in evolutionary economics: comments , 1993 .

[40]  R. Rob,et al.  Learning, Mutation, and Long Run Equilibria in Games , 1993 .

[41]  Jeroen M. Swinkels Adjustment Dynamics and Rational Play in Games , 1993 .

[42]  J. Sobel Evolutionary stability and efficiency , 1993 .

[43]  D. Fudenberg,et al.  Steady state learning and Nash equilibrium , 1993 .

[44]  Larry Samuelson,et al.  An Evolutionary Analysis of Backward and Forward Induction , 1993 .

[45]  Andreas Blume,et al.  Evolutionary Stability in Games of Communication , 1993 .

[46]  E. Kalai,et al.  Rational Learning Leads to Nash Equilibrium , 1993 .

[47]  L. Samuelson Stochastic Stability in Games with Alternative Best Replies , 1994 .

[48]  Jörgen W. Weibull,et al.  Evolutionary Game Theory , 1996 .

[49]  Ken Binmore,et al.  Learning to be imperfect: The ultimatum game , 1995 .

[50]  L. Samuelson,et al.  Musical Chairs: Modeling Noisy Evolution , 1995 .

[51]  Doron Sonsino Learning to learn, pattern recognition, and Nash equilibrium , 1995 .

[52]  R. Aumann,et al.  Epistemic Conditions for Nash Equilibrium , 1995 .

[53]  J. Sobel,et al.  AN EVOLUTIONARY APPROACH TO PRE-PLAY COMMUNICATION , 1995 .

[54]  Michihiro Kandori,et al.  Evolution of Equilibria in the Long Run: A General Theory and Applications , 1995 .

[55]  K. Schlag,et al.  Evolutionary Stability in Asymmetric Population Games , 1995 .

[56]  J. Weibull,et al.  Evolutionary Selection in Normal-Form Games , 1995 .

[57]  Faruk Gul,et al.  Rationality and Coherent Theories of Strategic Behavior , 1996 .

[58]  L. Samuelson,et al.  Evolutionary Drift and Equilibrium Selection , 2010 .

[59]  F. Vega-Redondo,et al.  Efficient Equilibrium Selection in Evolutionary Games with Random Matching , 1996 .

[60]  Masaki Aoyagi,et al.  Evolution of Beliefs and the Nash Equilibrium of Normal Form Games , 1996 .

[61]  Barton L. Lipman,et al.  Evolution with State-Dependent Mutations , 1996 .

[62]  Tilman Börgers,et al.  Learning Through Reinforcement and Replicator Dynamics , 1997 .

[63]  David M. Kreps,et al.  Rationality and knowledge in game theory , 1997 .

[64]  David M. Kreps,et al.  Evolutionary game theory in economics , 1997 .

[65]  K. Schlag Why Imitate, and If So, How?, : A Boundedly Rational Approach to Multi-armed Bandits , 1998 .

[66]  V. Bhaskar Noisy communication and the evolution of cooperation , 1998 .

[67]  Ross Cressman,et al.  The Dynamic (In)Stability of Backwards Induction , 1998 .

[68]  Giovanni Ponti,et al.  Cycles of Learning in the Centipede Game , 2000, Games Econ. Behav..