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Trends in Applied Sciences Research

Year: 2011 | Volume: 6 | Issue: 12 | Page No.: 1352-1359
DOI: 10.17311/tasr.2011.1352.1359
Honey Bees Foraging Optimization for Mixed Nash Equilibrium Estimation
Ramin Ayanzadeh, Azam S. Zavar Mousavi and Hamidreza Navidi

Abstract: Concept of solving games is to find a set of equilibrant strategies in which, players have no interest to refuse it. In static games, strategies intended by players are unspecified and a player’s pay-off is affected by other players’ strategies. Thus, analyzing opponent’s capabilities during decision making process is critical. It's clear that if the number of players or the cardinality of strategy sets increases, solving a game based on traditional approaches are impossible most of the times. Therefore, in this study a novel approach based on honey bees foraging optimization algorithms is proposed to solve static games with complete information to estimate pure and mixed Nash equilibrium. In proposed approach, equilibrium points of game are represented by food sources to be probed by honey bees in optimization process. To verify and validate method, several simulations are performed on some study cases. Simulation results prove that suggested approach generates more desirable solutions in precision and stability than other metaheuristics.

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How to cite this article
Ramin Ayanzadeh, Azam S. Zavar Mousavi and Hamidreza Navidi, 2011. Honey Bees Foraging Optimization for Mixed Nash Equilibrium Estimation. Trends in Applied Sciences Research, 6: 1352-1359.

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