NDLI: A Branch-and-Bound Algorithm for Polymatrix Games ϵ-Proper Nash Equilibria Computation

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A Branch-and-Bound Algorithm for Polymatrix Games ϵ-Proper Nash Equilibria Computation

Content Provider	MDPI
Author	Belhaiza, Slim
Copyright Year	2021
Description	When several Nash equilibria exist in the game, decision-makers need to refine their choices based on some refinement concepts. To this aim, the notion of a $ϵ$ -proper equilibria set for polymatrix games is used to develop 0–1 mixed linear programs and compute $ϵ$ -proper Nash equilibria. A Branch-and-Bound exact arithmetics algorithm is proposed. Experimental results are provided on polymatrix games randomly generated with different sizes and densities.
Starting Page	365
e-ISSN	19994893
DOI	10.3390/a14120365
Journal	Algorithms
Issue Number	12
Volume Number	14
Language	English
Publisher	MDPI
Publisher Date	2021-12-16
Access Restriction	Open
Subject Keyword	Algorithms Nash Equilibrium Refinement Polymatrix Game
Content Type	Text
Resource Type	Article

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