Learning to Play Bayesian Games

This paper discusses the implications of learning theory for the analysis of games with a move by Nature. One goal is to illuminate the issues that arise when modeling situations where players are learning about the distribution of Nature's move as well as learning about the opponents' strategies. A second goal is to argue that quite restrictive assumptions are necessary to justify the concept of Nash equilibrium without a common prior as a steady state of a learning process.

[1]  Jose Penalva-Zuasti,et al.  Causal Assessment in Finite-length Extensive-Form Games , 2003 .

[2]  David Spector.  Rational Debate And One-Dimensional Conflict , 2000 .

[3]  I. Bateman,et al.  A Test of the Theory of Reference-Dependent Preferences , 1997 .

[4]  Drew Fudenberg,et al.  Learning in extensive-form games I. Self-confirming equilibria , 1995 .

[5]  J. Harsanyi.  Games with Incomplete Information Played by 'Bayesian' Players, Part III. The Basic Probability Distribution of the Game , 1968 .

[6]  J. Jordan.  Bayesian Learning in Repeated Games , 1995 .

[7]  Hitoshi Matsushima.  Towards a Theory of Subjective Games , 1998 .

[8]  M. Jackson,et al.  Social Learning in Recurring Games , 1997 .

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

[10]  Jose S. Penalva,et al.  Causal assessment in finite extensive-form games , 2003 .

[11]  A. Rubinstein,et al.  Rationalizable Conjectural Equilibrium: Between Nash and Rationalizability , 1994 .

[12]  Eddie Dekel,et al.  Advances in Economics and Econometrics: Theory and Applications: Rationality and knowledge in game theory , 1997 .

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

[14]  Abhijit Banerjee,et al.  A Simple Model of Voice , 2001 .

[15]  D. Fudenberg,et al.  Payoff Information and Self-Confirming Equilibrium , 1999 .

[16]  Jörg Oechssler,et al.  Can you guess the game you are playing? , 2003, Games Econ. Behav..

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

[18]  Mark Walker,et al.  An Experiment to Evaluate Bayesian Learning of Nash Equilibrium Play , 2001, Games Econ. Behav..

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

[20]  D. Fudenberg,et al.  Self-confirming equilibrium , 1993 .

[21]  Yan Chen.  An experimental study of serial and average cost pricing mechanisms , 2003 .

[22]  Pierpaolo Battigalli,et al.  Conjectural Equilibria and Rationalizability in a Game with Incomplete Information , 1997 .

[23]  David M. Kreps,et al.  Advances In Economics and Econometrics: Theory And Applications: Seventh World Congress , 1997 .

[24]  Atanasios Mitropoulos.  Learning under minimal information: An experiment on mutual fate control , 2001 .

[25]  D. Fudenberg,et al.  Measuring Players' Losses in Experimental Games , 1997 .