Game Theory Based Co-evolutionary Algorithm (GCEA) for Solving Multiobjective Optimization Problems(Artificial Intelligence and Cognitive Science)

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概要

• 論文の詳細を見る

• When we try to solve Multiobjective Optimization Problems (MOPs) using an evolutionary algorithm, the Pareto Genetic Algorithm (Pareto GA) introduced by Goldberg in 1989 has now become a sort of standard. After the first introduction, this approach was further developed and lead to many applications. All of these approaches are based on Pareto ranking and use the fitness sharing function to maintain diversity. On the other hand in the early 50's another scheme was presented by Nash. This approach introduced the notion of Nash Equilibrium and aimed at solving optimization problems having multiobjective functions that are originated from Game Theory and Economics. Since the concept of Nash Equilibrium as a solution of these problems was introduced, game theorists have attempted to formalize aspects of the equilibrium solution. The Nash Genetic Algorithm (Nash GA), which is introduced by Sefrioui, is the idea to bring together genetic algorithms and Nash strategy. The aim of this algorithm is to find the Nash Equilibrium of MOPs through the genetic process. Another central achievement of evolutionary game theory is the introduction of a method by which agents can play optimal strategies in the absence of rationality. Not the rationality but through the process of Darwinian selection, a population of agents can evolve to an Evolutionary Stable Strategy (ESS) introduced by Maynard Smith in 1982. In this paper, we propose Game theory based Co-Evolutionary Algorithm (GCEA) and try to find the ESS as a solution of MOPs. By applying newly designed co-evolutionary algorithm to several MOPs, the first we will confirm that evolutionary game can be embodied by co-evolutionary algorithm and this co-evolutionary algorithm can find ESSs as a solutions of MOPs. The second, we show optimization performance of GCEA by applying this model to several test MOPs and comparing with the solutions of previously introduced evolutionary optimization algorithms.

• 社団法人電子情報通信学会の論文
• 2004-10-01

著者

• Kim J‐y

  School Of Electrical And Electronic Engineering Chung-ang University

• SIM Kwee-Bo

  School of Electrical and Electronic Engineering, Chung-Ang University

• KIM Ji-Yoon

  School of Electrical and Electronic Engineering, Chung-Ang University

• LEE Dong-Wook

  School of Electrical and Electronic Engineering, Chung-Ang University

• Kim Ji-yoon

  School Of Electrical And Electronic Engineering Chung-ang University

• Sim Kwee-bo

  School Of Electrical And Electronic Engineering Chung-ang University

• Lee Dong-wook

  School Of Electrical And Electronic Engineering Chung-ang University

• Sim K‐b

  School Of Electrical And Electronic Engineering Chung-ang University

関連論文

• Game Theory Based Co-evolutionary Algorithm (GCEA) for Solving Multiobjective Optimization Problems(Artificial Intelligence and Cognitive Science)
• Self-Nonself Recognition Algorithm Based on Positive and Negative Selection(Applications of Information Security Techniques)
• Schema Co-Evolutionary Algorithm (SCEA)(Algorithms)

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