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How to play with a biased coin?

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  • Gossner, Olivier
  • Vieille, Nicolas

Abstract

We characterize the max min of repeated zero-sum games in which player one plays in pure strategies sonditional on the private observation of a fixed sequence random variables. Meanwhile we introduce a definition of a strategic distance between probability measures, and relate it to the standard Kullbach distance.

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 41 (2002)
Issue (Month): 2 (November)
Pages: 206-226

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Handle: RePEc:eee:gamebe:v:41:y:2002:i:2:p:206-226

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Web page: http://www.elsevier.com/locate/inca/622836

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References

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  1. 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.
  2. Neyman, Abraham & Okada, Daijiro, 1999. "Strategic Entropy and Complexity in Repeated Games," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 191-223, October.
  3. Lehrer, Ehud & Smorodinsky, Rann, 2000. "Relative entropy in sequential decision problems1," Journal of Mathematical Economics, Elsevier, vol. 33(4), pages 425-439, May.
  4. Neyman, Abraham & Okada, Daijiro, 2000. "Repeated Games with Bounded Entropy," Games and Economic Behavior, Elsevier, vol. 30(2), pages 228-247, February.
  5. Lehrer, Ehud, 1991. "Internal Correlation in Repeated Games," International Journal of Game Theory, Springer, vol. 19(4), pages 431-56.
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Cited by:
  1. Olivier Gossner & Jöhannes Horner, 2006. "When is the individually rational payoff in a repeated game equal to the minmax payoff?," Discussion Papers 1440, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Olivier Gossner & Rida Laraki & Tristan Tomala, 2004. "Maxmin computation and optimal correlation in repeated games with signals," Working Papers hal-00242940, HAL.
  3. 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.
  4. Marco Battaglini & Steve Coate, 2006. "A Dynamic Theory of Public Spending, Taxation and Debt," Levine's Bibliography 122247000000001094, UCLA Department of Economics.
  5. Hernández, Penélope & Urbano, Amparo, 2008. "Codification schemes and finite automata," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 395-409, November.
  6. GOSSNER, Olivier & TOMALA, Tristan, 2003. "Entropy and codification in repeated games with imperfect monitoring," CORE Discussion Papers 2003033, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. Gossner, Olivier & Tomala, Tristan, 2003. "Entropy and codification in repeated games with imperfect monitoring," Economics Papers from University Paris Dauphine 123456789/6885, Paris Dauphine University.

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