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The simple geometry of perfect information games

International Journal of Game Theory volume 32, pages 315–338 (2004)Cite this article

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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.

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Authors and Affiliations

  1. Universita di Pavia, Dipartimento di Matematica, I-27100, Pavia, Italy

    Stefano Demichelis

  2. Institute for Advanced Studies, Department of Economics and Finance, Stumpergasse 56, A-1060, Vienna, Austria

    Klaus Ritzberger

  3. John M. Olin School of Business, Washington University at St. Louis, St. Louis, MO 63005, USA

    Jeroen M. Swinkels

Authors
  1. Stefano Demichelis
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  2. Klaus Ritzberger
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  3. Jeroen M. Swinkels
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Corresponding author

Correspondence to Klaus Ritzberger.

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Cite this article

Demichelis, S., Ritzberger, K. & Swinkels, J. The simple geometry of perfect information games. Int J Game Theory 32, 315–338 (2004). https://doi.org/10.1007/s001820400169

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  • DOI: https://doi.org/10.1007/s001820400169

Key words

  • Extensive form games
  • Perfect information
  • Subgame perfection