International Journal of Game Theory

, Volume 32, Issue 4, pp 443–453 | Cite as

On the geometry of Nash equilibria and correlated equilibria

Article

Abstract.

It is well known that the set of correlated equilibrium distributions of an n-player noncooperative game is a convex polytope that includes all the Nash equilibrium distributions. We demonstrate an elementary yet surprising result: the Nash equilibria all lie on the boundary of the polytope.

JEL classification

 C720 

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Copyright information

© Springer-Verlag 2004

Authors and Affiliations

  • Robert Nau
    • 1
  • Sabrina Gomez Canovas
    • 2
  • Pierre Hansen
    • 2
  1. 1.Fuqua School of BusinessDuke UniversityDurhamUSA
  2. 2.Group for Research in Decision Analysis (GERAD)École des Hautes Etudes Commerciales and École Polytechnique de MontréalMontréal, QuébecCanada

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