Enumeration of all the extreme equilibria in game theory: Bimatrix and polymatrix games

Enumeration of all the extreme equilibria in game theory: Bimatrix and polymatrix games

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Article ID: iaor20072539
Country: Netherlands
Volume: 129
Issue: 3
Start Page Number: 349
End Page Number: 372
Publication Date: Jun 2006
Journal: Journal of Optimization Theory and Applications
Authors: , ,
Abstract:

Bimatrix and polymatrix games are expressed as parametric linear 0–1 programs. This leads to an algorithm for the complete enumeration of their extreme equilibria, which is the first one proposed for polymatrix games. The algorithm computational experience is reported for two and three players on randomly generated games for sizes up to 14 × 14 and 13 × 13 × 13.

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