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The Simple Geometry of Perfect Information Games

Author

Listed:
  • Demichelis, Stefano

    (CORE)

  • Ritzberger, Klaus

    (Department of Economics and Finance, Institute for Advanced Studies)

  • Swinkels, Jeroen M.

    (John M. Olin School of Business, Washington University at St. Louis)

Abstract

Perfect information games have a particularly simple structure of equilibria in the associated normal form. For generic such games each of the finitely many connected components of Nash equilibria is contractible. For every perfect information game there is a unique connected and contractible component of subgame perfect equilibria. Finally, the graph of the subgame perfect equilibrium correspondence, after a very mild deformation, looks like the space of perfect information extensive form games.

Suggested Citation

  • Demichelis, Stefano & Ritzberger, Klaus & Swinkels, Jeroen M., 2002. "The Simple Geometry of Perfect Information Games," Economics Series 115, Institute for Advanced Studies.
    • Handle: RePEc:ihs:ihsesp:115
    as

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    File URL: https://irihs.ihs.ac.at/id/eprint/2653
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    References listed on IDEAS

    as
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    Cited by:

    1. Françoise Forges & József Sákovics, 2022. "Tenable threats when Nash equilibrium is the norm," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(3), pages 589-605, November.
    2. Stefano Demichelis, 2012. "Evolution towards asymptotic efficiency, preliminary version," Quaderni di Dipartimento 173, University of Pavia, Department of Economics and Quantitative Methods.
    3. Kuzmics, Christoph, 2004. "Stochastic evolutionary stability in extensive form games of perfect information," Games and Economic Behavior, Elsevier, vol. 48(2), pages 321-336, August.
    4. Predtetchinski, Arkadi, 2009. "A general structure theorem for the Nash equilibrium correspondence," Games and Economic Behavior, Elsevier, vol. 66(2), pages 950-958, July.

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    More about this item

    Keywords

    Perfect information; Subgame perfection; Equilibrium correspondence;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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