The Strategic Value of Recall
AbstractThis work studies the value of two-person zero-sum repeated games in which at least one of the players is restricted to (mixtures of) bounded recall strategies. A (pure) k-recall strategy is a strategy that relies only on the last k periods of history. This work improves previous results [Lehrer, Neyman and Okada] on repeated games with bounded recall. We provide an explicit formula for the asymptotic value of the repeated game as a function of the stage game, the duration of the repeated game, and the recall of the agents.
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Bibliographic InfoPaper provided by The Center for the Study of Rationality, Hebrew University, Jerusalem in its series Discussion Paper Series with number dp470.
Length: 19 pages
Date of creation: Nov 2007
Date of revision:
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- Neyman, Abraham & Okada, Daijiro, 2009.
"Growth of strategy sets, entropy, and nonstationary bounded recall,"
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Elsevier, vol. 66(1), pages 404-425, May.
- Abraham Neyman & Daijiro Okada, 2005. "Growth of Strategy Sets, Entropy, and Nonstationary Bounded Recall," Discussion Paper Series dp411, The Center for the Study of Rationality, Hebrew University, Jerusalem.
- Abraham Neyman & Daijiro Okada, 2005. "Growth of Strategy Sets, Entropy, and Nonstationary Bounded Recall," Levine's Bibliography 122247000000000920, UCLA Department of Economics.
- Lehrer Ehud, 1994. "Finitely Many Players with Bounded Recall in Infinitely Repeated Games," Games and Economic Behavior, Elsevier, vol. 7(3), pages 390-405, November.
- Neyman, Abraham & Okada, Daijiro, 2000. "Repeated Games with Bounded Entropy," Games and Economic Behavior, Elsevier, vol. 30(2), pages 228-247, February.
- Abraham Neyman Null & Daijiro Okada, 2005. "Growth of Strategy Sets, Entropy and Nonstationary Bounded Recall," Departmental Working Papers 200514, Rutgers University, Department of Economics.
- Abraham Neyman, 2008.
"Learning Effectiveness and Memory Size,"
Levine's Working Paper Archive
122247000000001945, David K. Levine.
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