Adaptation and complexity in repeated games
The paper presents a learning model for two-player infinitely repeated games. In an inference step players construct minimally complex inferences of strategies based on observed play, and in an adaptation step players choose minimally complex best responses to an inference. When players randomly select an inference from a probability distribution with full support the set of steady states is a subset of the set of Nash equilibria in which only stage game Nash equilibria are played. When players make 'cautious' inferences the set of steady states is the subset of self-confirming equilibria with Nash outcome paths. When players use different inference rules, the set of steady states can lie between the previous two cases.
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- Ran Spiegler, 2002.
"Equilibrium in Justifiable Strategies: A Model of Reason-based Choice in Extensive-form Games,"
Review of Economic Studies,
Oxford University Press, vol. 69(3), pages 691-706.
- Spiegler, Ran, 2002. "Equilibrium in Justifiable Strategies: A Model of Reason-Based Choice in Extensive-Form Games," Review of Economic Studies, Wiley Blackwell, vol. 69(3), pages 691-706, July.
- Jeheil Phillippe, 1995. "Limited Horizon Forecast in Repeated Alternate Games," Journal of Economic Theory, Elsevier, vol. 67(2), pages 497-519, December.
- Ran Spiegler, 2003.
"Simplicity of Beliefs and Delay Tactics in a Concession Game,"
Levine's Working Paper Archive
506439000000000208, David K. Levine.
- Spiegler, Ran, 2004. "Simplicity of beliefs and delay tactics in a concession game," Games and Economic Behavior, Elsevier, vol. 47(1), pages 200-220, April.
- Jehiel, Philippe, 1998. "Learning to Play Limited Forecast Equilibria," Games and Economic Behavior, Elsevier, vol. 22(2), pages 274-298, February.
- Eliaz, Kfir, 2003.
"Nash equilibrium when players account for the complexity of their forecasts,"
Games and Economic Behavior,
Elsevier, vol. 44(2), pages 286-310, August.
- Eliaz, K., 2001. "Nash Equilibrium When Players Account for the Complexity of their Forecasts," Papers 2001-6, Tel Aviv.
- Fudenberg, Drew & Levine, David K, 1993.
Econometric Society, vol. 61(3), pages 523-45, May.
- Rubinstein, Ariel, 1986.
"Finite automata play the repeated prisoner's dilemma,"
Journal of Economic Theory,
Elsevier, vol. 39(1), pages 83-96, June.
- Ariel Rubinstein, 1997. "Finite automata play the repeated prisioners dilemma," Levine's Working Paper Archive 1639, David K. Levine.
- Hamid Sabourian, 2000. "Bargaining and Markets: Complexity and the Walrasian Outcome," Cowles Foundation Discussion Papers 1249, Cowles Foundation for Research in Economics, Yale University.
- Volij, Oscar, 2002.
"In Defense of Defect,"
Staff General Research Papers
10125, Iowa State University, Department of Economics.
- Chatterjee, K. & Sabourian, H., 1997.
"Multiperson Bargaining and Strategic Complexity,"
Cambridge Working Papers in Economics
9733, Faculty of Economics, University of Cambridge.
- Banks, Jeffrey S. & Sundaram, Rangarajan K., 1990.
"Repeated games, finite automata, and complexity,"
Games and Economic Behavior,
Elsevier, vol. 2(2), pages 97-117, June.
- Fudenberg, Drew & Maskin, Eric, 1986. "The Folk Theorem in Repeated Games with Discounting or with Incomplete Information," Econometrica, Econometric Society, vol. 54(3), pages 533-54, May.
- Jehiel, Philippe, 2001. "Limited Foresight May Force Cooperation," Review of Economic Studies, Wiley Blackwell, vol. 68(2), pages 369-91, April.
- Binmore, Kenneth G. & Samuelson, Larry, 1992. "Evolutionary stability in repeated games played by finite automata," Journal of Economic Theory, Elsevier, vol. 57(2), pages 278-305, August.
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