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On the set of (perfect) equilibria of a bimatrix game

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  • A. J. Vermeulen
  • M. J. M. Jansen

Abstract

This article provides a new approach to the set of (perfect) equilibria. With the help of an equivalence relation on the strategy space of each player. Nash sets and Selten sets are introduced. The number of these sets is finite and each of these sets is a polytope. As a consequence the set of (perfect) equilibria is a finite union of polytopes. © 1994 John Wiley & Sons. Inc.

Suggested Citation

  • A. J. Vermeulen & M. J. M. Jansen, 1994. "On the set of (perfect) equilibria of a bimatrix game," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(2), pages 295-302, March.
    • Handle: RePEc:wly:navres:v:41:y:1994:i:2:p:295-302
    DOI: 10.1002/1520-6750(199403)41:23.0.CO;2-H
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    References listed on IDEAS

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    1. Jansen, Mathijs, 1993. "On the Set of Proper Equilibria of a Bimatrix Game," International Journal of Game Theory, Springer;Game Theory Society, vol. 22(2), pages 97-106.
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