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

✍ Scribed by A. J. Vermeulen; M. J. M. Jansen

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
381 KB
Volume
41
Category
Article
ISSN
0894-069X

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✦ Synopsis

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. o 1994 John Wiley & Sons. Inc.

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## Abstract A graph __G__ is domination perfect if for each induced subgraph __H__ of __G__, Ξ³(__H__) = __i__(__H__), where Ξ³ and __i__ are a graph's domination number and independent domination number, respectively. Zverovich and Zverovich [3] offered a finite forbidden induced characterization of