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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. 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).
  2. Sorin, S., 1996. "Bluff and Reputation," Papers 9608, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
  3. Jean-Francois Mertens & Abraham Neyman & Dinah Rosenberg, 2007. "Absorbing Games with Compact Action Spaces," Discussion Paper Series dp456, The Center for the Study of Rationality, Hebrew University, Jerusalem.
  4. 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.
  5. Abraham Neyman, 2005. "Existence of Optimal Strategies in Markov Games with Incomplete Information," Discussion Paper Series dp413, The Center for the Study of Rationality, Hebrew University, Jerusalem.
  6. Lehrer Ehud & Monderer Dov, 1994. "Discounting versus Averaging in Dynamic Programming," Games and Economic Behavior, Elsevier, vol. 6(1), pages 97-113, January.
  7. 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.
  8. 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).
  9. Renault, Jérôme, 2008. "The value of repeated games with an informed controller," Economics Papers from University Paris Dauphine 123456789/6248, Paris Dauphine University.
  10. 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).
  11. Ehud Lehrer, 2003. "Approachability in infinite dimensional spaces," International Journal of Game Theory, Springer, vol. 31(2), pages 253-268.
  12. Rida Laraki & Eilon Solan, 2002. "Stopping Games in Continuous Time," Discussion Papers 1354, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  13. Eilon Solan & Nicolas Vieille, 2002. "Stopping games: recent results," Working Papers hal-00242994, HAL.
  14. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, December.
  15. 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).
  16. Dinah Rosenberg & Eilon Solan & Nicolas Vieille, 2002. "Stochastic Games with a Single Controller and Incomplete Information," Discussion Papers 1346, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  17. A. Maitra & W. Sudderth, 2003. "Borel stay-in-a-set games," International Journal of Game Theory, Springer, vol. 32(1), pages 97-108, December.
  18. 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).
  19. Monderer, Dov & Sorin, Sylvain, 1993. "Asymptotic Properties in Dynamic Programming," International Journal of Game Theory, Springer, vol. 22(1), pages 1-11.
  20. 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.
  21. 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).
  22. 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.
  23. 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.
  24. 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.
  25. 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.
  26. Rida Laraki, 2002. "The splitting game and applications," International Journal of Game Theory, Springer, vol. 30(3), pages 359-376.
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