Experience-Weighted Attraction Learning in Coordination Games: Probability Rules, Heterogeneity, and Time-Variation.

In earlier research we proposed an "experience-weighted attraction (EWA) learning" model for predicting dynamic behavior in economic experiments on multiperson noncooperative normal-form games. We showed that EWA learning model fits significantly better than existing learning models (choice reinforcement and belief-based models) in several different classes of games. The econometric estimation in that research adopted a representative agent approach and assumed that learning parameters are stationary across periods of an experiment. In addition, we used the logit (exponential) probability response function to transform attraction of strategies into choice probability. This paper allows for nonstationary learning parameters, permits two "segments" of players with different parameter values in order to allow for some heterogeneity, and compares the power and logit probability response functions. These specifications are estimated using experimental data from weak-link and median-action coordination games. Results show that players are heterogeneous and that they adjust their learning parameters over time very slightly. Logit probability response functions never fit worse than power functions, and generally fit better. Copyright 1998 Academic Press.

[1]  O. H. Brownlee,et al.  ACTIVITY ANALYSIS OF PRODUCTION AND ALLOCATION , 1952 .

[2]  Frederick Mosteller,et al.  Stochastic Models for Learning , 1956 .

[3]  A. Dickson On Evolution , 1884, Science.

[4]  R. Herrnstein On the law of effect. , 1970, Journal of the experimental analysis of behavior.

[5]  J. Yellott The relationship between Luce's Choice Axiom, Thurstone's Theory of Comparative Judgment, and the double exponential distribution , 1977 .

[6]  C. Harley Learning the evolutionarily stable strategy. , 1981, Journal of theoretical biology.

[7]  J. Cross A theory of adaptive economic behavior , 1983 .

[8]  Gary J. Russell,et al.  A Probabilistic Choice Model for Market Segmentation and Elasticity Structure , 1989 .

[9]  J. Huyck,et al.  Tacit Coordination Games, Strategic Uncertainty, and Coordination Failure , 1990 .

[10]  D. Stahl Evolution of Smart n Players , 1991 .

[11]  Patrick H. McAllister,et al.  Adaptive approaches to stochastic programming , 1991, Ann. Oper. Res..

[12]  W. Arthur Designing Economic Agents that Act Like Human Agents: A Behavioral Approach to Bounded Rationality , 1991 .

[13]  Dale O. Stahl,et al.  Evolution of Smartn Players , 1993 .

[14]  Dilip Mookherjee,et al.  Learning behavior in an experimental matching pennies game , 1994 .

[15]  David W Harless,et al.  The predictive utility of generalized expected utility theories , 1994 .

[16]  A. Roth,et al.  Learning in Extensive-Form Games: Experimental Data and Simple Dynamic Models in the Intermediate Term* , 1995 .

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

[18]  V. Crawford Adaptive dynamics in coordination games , 1995 .

[19]  Teck-Hua Ho,et al.  Task complexity, equilibrium selection, and learning: an experimental study , 1996 .

[20]  Fang-Fang Tang,et al.  Anticipatory Learning in Two-Person Games: An Experimental Study, Part II. Learning , 1996 .

[21]  D. Stahl Boundedly rational rule learning in a guessing game , 1996 .

[22]  Daniel Friedman,et al.  Individual Learning in Normal Form Games: Some Laboratory Results☆☆☆ , 1997 .

[23]  Dilip Mookherjee,et al.  Learning and Decision Costs in Experimental Constant Sum Games , 1997 .

[24]  A. Roth,et al.  Predicting How People Play Games: Reinforcement Learning in Experimental Games with Unique, Mixed Strategy Equilibria , 1998 .

[25]  R. McKelvey,et al.  Quantal Response Equilibria for Extensive Form Games , 1998 .

[26]  Colin Camerer,et al.  Iterated Dominance and Iterated Best-Response in Experimental P-Beauty Contests , 1998 .

[27]  A. Roth,et al.  On the Role of Reinforcement Learning in Experimental Games: The Cognitive Game Theory Approach , 1999 .

[28]  Colin Camerer,et al.  Experience‐weighted Attraction Learning in Normal Form Games , 1999 .

[29]  D. Holt An Empirical Model of Strategic Choice with an Application to Coordination Games , 1999 .

[30]  Augustin M. Cournot Cournot, Antoine Augustin: Recherches sur les principes mathématiques de la théorie des richesses , 2019, Die 100 wichtigsten Werke der Ökonomie.