A STATISTICAL THEORY OF EQUILIBRIUM IN GAMES

This paper describes a statistical model of equiliobrium behaviour in games, which we call Quantal Response Equilibrium (QRE). The key feature of the equilibrium is that individuals do not always play responses to the strategies of their opponents, but play better strategies with higher probability than worse strategies. we illustrate several different applications of this approach, and establish a number of theoretical properties of this equilibrium concept. We also demonstrate an equililance between this equilibrium notion and Bayesian games derived from games of complete information with perturbed payoffs

[1]  H. Rosenthal,et al.  Digitized by the Internet Archive in 2011 With^ Funding from Testing Game-theoretic Models of Free Riding: New Evidence on Probability Bias and Learning , 2022 .

[2]  D. McFadden.  Quantal Choice Analysis: A Survey , 1976 .

[3]  D. Stahl,et al.  On Players' Models of Other Players: Theory and Experimental Evidence , 1995 .

[4]  L. Thurstone,et al.  A low of comparative judgement , 1927 .

[5]  Monetary Rewards and Decision Cost in Experi-mental Economics, 31 Econ , 1993 .

[6]  Jordi Brandts,et al.  Adjustment patterns and equilibrium selection in experimental signaling games , 1993 .

[7]  J. Ochs.  Games with Unique, Mixed Strategy Equilibria: An Experimental Study , 1995 .

[8]  J. Harsanyi.  Games with randomly disturbed payoffs: A new rationale for mixed-strategy equilibrium points , 1973 .

[9]  R. McKelvey,et al.  Quantal Response Equilibria for Normal Form Games , 1995 .

[10]  R. McKelvey,et al.  An experimental study of the centipede game , 1992 .

[11]  Robert W. Rosenthal,et al.  A bounded-rationality approach to the study of noncooperative games , 1989 .

[12]  Thomas R. Palfrey,et al.  A Bayesian Sequential Experimental Study of Learning in Games , 1993 .

[13]  J. Banks,et al.  An Experimental Analysis of Nash Refinements in Signaling Games , 1994 .

[14]  B. O'Neill.  Nonmetric test of the minimax theory of two-person zerosum games. , 1987, Proceedings of the National Academy of Sciences of the United States of America.

[15]  W. Güth,et al.  Ultimatum bargaining behavior : a survey and comparison of experimental results , 1990 .

[16]  Jordi Brandts,et al.  An Experimental Test of Equilibrium Dominance in Signaling Games , 1992 .

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

[18]  V. Smith.  Monetary Rewards and Decision Cost in Experimental Economics: An Extension , 1993 .

[19]  John C. Harsanyi,et al.  Общая теория выбора равновесия в играх / A General Theory of Equilibrium Selection in Games , 1989 .

[20]  R. McKelvey,et al.  An experimental study of constant-sum centipede games , 1996 .

[21]  Robert W. Rosenthal,et al.  Testing the Minimax Hypothesis: A Re-examination of O'Neill's Game Experiment , 1990 .

[22]  R. Thaler.  The Ultimatum Game , 1988 .

[23]  Andrew Schotter,et al.  A LABORATORY INVESTIGATION OF MULTI-PERSON RATIONALITY AND PRESENTATION EFFECTS , 1994 .

[24]  D. McFadden.  Conditional logit analysis of qualitative choice behavior , 1972 .

[25]  Michael Manove,et al.  Bargaining with Deadlines and Imperfect Player Control , 1993 .