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An Approach for Reducing the Graphical Model and Genetic Algorithm for Computing Approximate Nash Equilibrium in Static Games.

Authors :
Wei-Yi Liu
Kun Yue
Jin Li
Ning Song
Li Ding
Source :
Journal of Intelligent & Robotic Systems; Nov2010, Vol. 60 Issue 2, p241-261, 21p, 3 Charts, 4 Graphs
Publication Year :
2010

Abstract

In this paper, an approach for reducing the graphical model and a genetic algorithm for computing the approximate Nash equilibrium in a static multi-agent game is studied. In order to describe the relationship between strategies of various agents, the concepts of the influence degree and the strategy dependency are presented. Based on these concepts, an approach for reducing a graphical model is given. For discretized mixed strategies, the relationship between the discrete degree and the approximate degree is developed. Based on the regret degree, a genetic algorithm for computing the approximate Nash equilibrium is given. Experimental results indicate the genetic algorithm has high efficiency and few equilibrium errors. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09210296
Volume :
60
Issue :
2
Database :
Complementary Index
Journal :
Journal of Intelligent & Robotic Systems
Publication Type :
Academic Journal
Accession number :
53945200
Full Text :
https://doi.org/10.1007/s10846-010-9419-6