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

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

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Article ID: iaor19941850
Country: United States
Volume: 41
Issue: 2
Start Page Number: 295
End Page Number: 302
Publication Date: Mar 1994
Journal: Naval Research Logistics
Authors: ,
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.

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