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Some results on zero sum games with incomplete information: the dependant case

Author

Listed:
  • Jean-Pierre Ponssard

    (X-DEP-ECO - Département d'Économie de l'École Polytechnique - X - École polytechnique - IP Paris - Institut Polytechnique de Paris)

  • Sylvain Sorin

    (X-DEP-ECO - Département d'Économie de l'École Polytechnique - X - École polytechnique - IP Paris - Institut Polytechnique de Paris, C&O - Equipe combinatoire et optimisation - IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche - UPMC - Université Pierre et Marie Curie - Paris 6 - UPD7 - Université Paris Diderot - Paris 7 - CNRS - Centre National de la Recherche Scientifique)

Abstract

In games with incomplete information, the players' states of information may be determined either through independent chance moves or through a unique one. Generally, a unique chance move generates some dependance in the players' state of information thus giving rise to significant complications in the analysis. However, it turns out that many results obtained in the simpler independent case have their counterpart in the dependent one. This is proved in this paper for several previous results of the authors.

Suggested Citation

  • Jean-Pierre Ponssard & Sylvain Sorin, 1980. "Some results on zero sum games with incomplete information: the dependant case," Post-Print hal-00363938, HAL.
    • Handle: RePEc:hal:journl:hal-00363938
    DOI: 10.1007/BF01771428
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    Cited by:

    1. Koessler, Frederic & Laclau, Marie & Renault, Jérôme & Tomala, Tristan, 2022. "Long information design," Theoretical Economics, Econometric Society, vol. 17(2), May.
    2. Koessler, Frederic & Laclau, Marie & Renault, Jérôme & Tomala, Tristan, 2022. "Long information design," Theoretical Economics, Econometric Society, vol. 17(2), May.

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