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The Strategic Value of Recall

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Author Info
Ron Peretz ()
Abstract

This 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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File URL: http://ratio.huji.ac.il/dp/dp470.pdf
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Paper provided by Center for Rationality and Interactive Decision Theory, Hebrew University, Jerusalem in its series Discussion Paper Series with number dp470.

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Length: 19 pages
Date of creation: Nov 2007
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Handle: RePEc:huj:dispap:dp470

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Abraham Neyman & Daijiro Okada, 2005. "Growth of Strategy Sets, Entropy, and Nonstationary Bounded Recall," Levine's Bibliography 122247000000000920, UCLA Department of Economics. [Downloadable!]
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  2. Neyman, Abraham & Okada, Daijiro, 2000. "Repeated Games with Bounded Entropy," Games and Economic Behavior, Elsevier, vol. 30(2), pages 228-247, February. [Downloadable!] (restricted)
  3. 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. [Downloadable!] (restricted)
  4. Abraham Neyman Null & Daijiro Okada, 2005. "Growth of Strategy Sets, Entropy and Nonstationary Bounded Recall," Departmental Working Papers 200514, Rutgers University, Department of Economics. [Downloadable!]
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Abraham Neyman, 2008. "Learning Effectiveness and Memory Size," Levine's Working Paper Archive 122247000000002427, David K. Levine. [Downloadable!]
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