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Zero-Sum Repeated Games: Recent Advances and New Links with Differential Games

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  • Sylvain Sorin

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File URL: http://hdl.handle.net/10.1007/s13235-010-0006-z
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Bibliographic Info

Article provided by Springer in its journal Dynamic Games and Applications.

Volume (Year): 1 (2011)
Issue (Month): 1 (March)
Pages: 172-207

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Handle: RePEc:spr:dyngam:v:1:y:2011:i:1:p:172-207

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Web page: http://www.springer.com/economics/journal/13235

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Related research

Keywords: Zero-sum two-person repeated games; Differential games; Approachability; Recursive formula; Asymptotic value; Uniform value;

References

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  1. Lehrer Ehud & Monderer Dov, 1994. "Discounting versus Averaging in Dynamic Programming," Games and Economic Behavior, Elsevier, vol. 6(1), pages 97-113, January.
  2. Sorin, S, 1989. "On Repeated Games without a Recursive Structure: Existence of Lim Vn," International Journal of Game Theory, Springer, vol. 18(1), pages 45-55.
  3. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, December.
  4. Abraham Neyman, 2008. "Existence of optimal strategies in Markov games with incomplete information," International Journal of Game Theory, Springer, vol. 37(4), pages 581-596, December.
  5. DE MEYER, Bernard & ROSENBERG, Dinah, 1997. "“Cav u” and the dual game," CORE Discussion Papers 1997048, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. Sorin, S., 1996. "Bluff and Reputation," Papers 9608, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
  7. DE MEYER , Bernard, 1993. "Repeated Games and the Central Limit Theorem," CORE Discussion Papers 1993003, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Abraham Neyman & Sylvain Sorin, 2010. "Repeated games with public uncertain duration process," International Journal of Game Theory, Springer, vol. 39(1), pages 29-52, March.
  9. Rosenberg, Dinah & Vieille, Nicolas, 2000. "The Maxmin of Recursive Games with Incomplete Information on one Side," Economics Papers from University Paris Dauphine 123456789/6231, Paris Dauphine University.
  10. A. Maitra & W. Sudderth, 2003. "Borel stay-in-a-set games," International Journal of Game Theory, Springer, vol. 32(1), pages 97-108, December.
  11. MERTENS , Jean-François & SORIN , Sylvain & ZAMIR , Shmuel, 1994. "Repeated Games. Part B : The Central Results," CORE Discussion Papers 1994021, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  12. MERTENS, Jean-François & SORIN , Sylvain & ZAMIR , Shmuel, 1994. "Repeated Games. Part C : Further Developments," CORE Discussion Papers 1994022, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  13. Rida Laraki & Eilon Solan, 2002. "Stopping Games in Continuous Time," Discussion Papers 1354, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  14. VIEILLE, Nicolas & ROSENBERG, Dinah & SOLAN, Eilon, 2002. "Stochastic games with a single controller and incomplete information," Les Cahiers de Recherche 754, HEC Paris.
  15. A. Souquière, 2010. "Approximation and representation of the value for some differential games with asymmetric information," International Journal of Game Theory, Springer, vol. 39(4), pages 699-722, October.
  16. Jean-Francois Mertens & Abraham Neyman & Dinah Rosenberg, 2007. "Absorbing Games with Compact Action Spaces," Levine's Bibliography 843644000000000178, UCLA Department of Economics.
  17. VIEILLE, Nicolas & SOLAN, Eilon, 2001. "Stopping games: recent results," Les Cahiers de Recherche 744, HEC Paris.
  18. Monderer, Dov & Sorin, Sylvain, 1993. "Asymptotic Properties in Dynamic Programming," International Journal of Game Theory, Springer, vol. 22(1), pages 1-11.
  19. Zamir, Shmuel, 1992. "Repeated games of incomplete information: Zero-sum," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 5, pages 109-154 Elsevier.
  20. De Meyer , B., 1995. "From Repeated Games to Brownian Games," CORE Discussion Papers 1995039, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  21. Ehud Lehrer, 2003. "Approachability in infinite dimensional spaces," International Journal of Game Theory, Springer, vol. 31(2), pages 253-268.
  22. MERTENS , Jean-François & SORIN , Sylvain & ZAMIR , Shmuel, 1994. "Repeated Games. Part A : Background Material," CORE Discussion Papers 1994020, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  23. P. Cardaliaguet & M. Quincampoix, 2008. "Deterministic Differential Games Under Probability Knowledge Of Initial Condition," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(01), pages 1-16.
  24. Rida Laraki, 2002. "The splitting game and applications," International Journal of Game Theory, Springer, vol. 30(3), pages 359-376.
  25. Renault, Jérôme, 2008. "The value of repeated games with an informed controller," Economics Papers from University Paris Dauphine 123456789/6248, Paris Dauphine University.
  26. Dinah Rosenberg & Eilon Solan & Nicolas Vieille, 2000. "Blackwell Optimality in Markov Decision Processes with Partial Observation," Discussion Papers 1292, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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