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How to play with a biased coin?

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Author Info

  • Gossner, O.
  • Vieille, N.

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

Paper provided by Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor. in its series Papers with number 99-31.

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Length: 31 pages
Date of creation: 1999
Date of revision:
Handle: RePEc:fth:pnegmi:99-31

Contact details of provider:
Postal: THEMA, Universite de Paris X-Nanterre, U.F.R. de science economiques, gestion, mathematiques et informatique, 200, avenue de la Republique 92001 Nanterre CEDEX.

Related research

Keywords: GAME THEORY ; UNCERTAINTY;

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References

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  1. 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.
  2. 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.
  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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Citations

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Cited by:
  1. Neyman, Abraham & Okada, Daijiro, 2009. "Growth of strategy sets, entropy, and nonstationary bounded recall," Games and Economic Behavior, Elsevier, vol. 66(1), pages 404-425, May.
  2. Marco Battaglini & Stephen Coate, 2007. "A Dynamic Theory of Public Spending, Taxation and Debt," Discussion Papers 1441, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  3. 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.
  4. Olivier Gossner & Rida Laraki & Tristan Tomala, 2004. "Maxmin computation and optimal correlation in repeated games with signals," Working Papers hal-00242940, HAL.
  5. Amparo Urbano Salvador & Penélope Hernández Rojas, 2000. "Codification schemes and finite automata," Working Papers. Serie AD 2006-28, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  6. 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.
  7. 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).

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