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The speed of convergence in repeated games with incomplete information on one side

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  • MERTENS, Jean-François

Abstract

In a repeated two-person zero-sum game with incomplete information on one side, the values vn of the n-stage games converge to the value v\infty of the infinite game with worst case error \sim(ln n/n)1/3.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • MERTENS, Jean-François, 1998. "The speed of convergence in repeated games with incomplete information on one side," CORE Discussion Papers RP 1358, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvrp:1358 Note: In : International Journal of Game Theory, 27, 343-357, 1998
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    File URL: http://dx.doi.org/10.1007/s001820050077
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    References listed on IDEAS

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    1. McAfee, R Preston & McMillan, John, 1991. "Optimal Contracts for Teams," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(3), pages 561-577, August.
    2. Demski, Joel S. & Sappington, David, 1984. "Optimal incentive contracts with multiple agents," Journal of Economic Theory, Elsevier, vol. 33(1), pages 152-171, June.
    3. Bhattacharya, Sudipto & Glazer, Jacob & Sappington, David E. M., 1992. "Licensing and the sharing of knowledge in research joint ventures," Journal of Economic Theory, Elsevier, vol. 56(1), pages 43-69, February.
    4. Aghion, P. & Tirole, J., 1993. "On the Management of Innovation," Working papers 93-12, Massachusetts Institute of Technology (MIT), Department of Economics.
    5. Laffont, Jean-Jacques & Tirole, Jean, 1987. "Auctioning Incentive Contracts," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 921-937, October.
    6. Fudenberg, Drew & Levine, David I & Maskin, Eric, 1994. "The Folk Theorem with Imperfect Public Information," Econometrica, Econometric Society, vol. 62(5), pages 997-1039, September.
    7. R. Preston McAfee & John McMillan, 1987. "Competition for Agency Contracts," RAND Journal of Economics, The RAND Corporation, vol. 18(2), pages 296-307, Summer.
    8. Philippe Aghion & Jean Tirole, 1994. "The Management of Innovation," The Quarterly Journal of Economics, Oxford University Press, vol. 109(4), pages 1185-1209.
    9. d'Aspremont, Claude & Gerard-Varet, Louis-Andre, 1979. "Incentives and incomplete information," Journal of Public Economics, Elsevier, vol. 11(1), pages 25-45, February.
    10. Spence, Michael, 1984. "Cost Reduction, Competition, and Industry Performance," Econometrica, Econometric Society, vol. 52(1), pages 101-121, January.
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    Cited by:

    1. Laraki, Rida & Sorin, Sylvain, 2015. "Advances in Zero-Sum Dynamic Games," Handbook of Game Theory with Economic Applications, Elsevier.
    2. Hörner, Johannes & Lovo, Stefano & Tomala, Tristan, 2011. "Belief-free equilibria in games with incomplete information: Characterization and existence," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1770-1795, September.
    3. Hörner, Johannes & Takahashi, Satoru, 2016. "How fast do equilibrium payoff sets converge in repeated games?," Journal of Economic Theory, Elsevier, pages 332-359.

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