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The simple geometry of perfect information games

Author

Listed:
  • Stefano Demichelis

  • Klaus Ritzberger

  • Jeroen M. Swinkels

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. Copyright Springer-Verlag 2004

Suggested Citation

  • Stefano Demichelis & Klaus Ritzberger & Jeroen M. Swinkels, 2004. "The simple geometry of perfect information games," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(3), pages 315-338, June.
    • Handle: RePEc:spr:jogath:v:32:y:2004:i:3:p:315-338
    DOI: 10.1007/s001820400169
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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. Predtetchinski, Arkadi, 2009. "A general structure theorem for the Nash equilibrium correspondence," Games and Economic Behavior, Elsevier, vol. 66(2), pages 950-958, July.
    4. 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.

    More about this item

    Keywords

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    JEL classification:

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

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