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On Nash equivalence classes of generic normal form games

Author

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  • GERMANO, Fabrizio

    () (Center for Operations Research and Econometrics (CORE), Université catholique de Louvain (UCL), Louvain la Neuve, Belgium)

Abstract

We introduce a procedure that uses basic topological characteristics of equilibrium correspondences of standard equilibrium concepts, to define broad equivalence classes of finite generic games in normal form. The proposed procedure is viewed as a potentially useful way of both organizing the underlying spaces of games as well as of comparing different equilibrium concepts with each other. The focus of the paper is mainly on equivalence classes induced by the Nash equilibrium concept. However, equivalence classes induced by the concepts of rationalizability, iterated dominance and correlated equilibrium are also considered.

Suggested Citation

  • GERMANO, Fabrizio, 1998. "On Nash equivalence classes of generic normal form games," CORE Discussion Papers 1998033, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:1998033
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    File URL: https://uclouvain.be/en/research-institutes/immaq/core/dp-1998.html
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    References listed on IDEAS

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    1. Roth, Alvin E. & Erev, Ido, 1995. "Learning in extensive-form games: Experimental data and simple dynamic models in the intermediate term," Games and Economic Behavior, Elsevier, vol. 8(1), pages 164-212.
    2. Jean-François Mertens, 2004. "Ordinality in non cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(3), pages 387-430, June.
    3. Barany, I & Lee, J & Shubik, M, 1992. "Classification of Two-Person Ordinal Bimatrix Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(3), pages 267-290.
    4. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    5. Blume, Lawrence E & Zame, William R, 1994. "The Algebraic Geometry of Perfect and Sequential Equilibrium," Econometrica, Econometric Society, vol. 62(4), pages 783-794, July.
    6. Von Stengel, Bernhard, 2002. "Computing equilibria for two-person games," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 45, pages 1723-1759 Elsevier.
    7. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
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    Cited by:

    1. Fabrizio Germano, 2006. "On some geometry and equivalence classes of normal form games," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(4), pages 561-581, November.

    More about this item

    Keywords

    non-cooperative games; classification and equivalence classes; geometry of equilibrium correspondences.;

    JEL classification:

    • C90 - Mathematical and Quantitative Methods - - Design of Experiments - - - General
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior

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