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On Nash equivalence classes of generic normal form games

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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.

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Bibliographic Info

Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 1998033.

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Date of creation: 01 May 1998
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Handle: RePEc:cor:louvco:1998033

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Related research

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

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References

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  1. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-37, September.
  2. Hans Carlsson & Eric van Damme, 1993. "Global Games and Equilibrium Selection," Levine's Working Paper Archive 122247000000001088, David K. Levine.
  3. 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.
  4. MERTENS, Jean-François, . "Ordinality in non cooperative games," CORE Discussion Papers RP -1738, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Lawrence E. Blume & William R. Zame, 1993. "The Algebraic Geometry of Perfect and Sequential Equilibrium," Game Theory and Information 9309001, EconWPA.
  6. 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.
  7. Imre Barany & J. Lee & Martin Shubik, 1991. "Classification of Two-Person Ordinal Bimatrix Games," Cowles Foundation Discussion Papers 996, Cowles Foundation for Research in Economics, Yale University.
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Cited by:
  1. Fabrizio Germano, 2003. "On Some Geometry and Equivalence Classes of Normal Form Games," Working Papers 42, Barcelona Graduate School of Economics.

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