Evolutionarily and Neutrally Stable Strategies in Multicriteria Games

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概要

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• Evolutionary stability has been discussed as a fundamental issue in single-criterion games. We extend evolutionarily and neutrally stable strategies to multicriteria games. Keeping in mind the fact that a payoff is given by a vector in multicriteria games, we provide several concepts which are coincident in single-criterion games based on partial vector orders of payoff vectors. We also investigate the hierarchical structure of our proposed evolutionarily and neutrally stable strategies. Shapley had introduced concepts such as strong and weak equilibria. We discuss the relationship between these equilibria and our proposed evolutionary stability.

著者

• Ushio Toshimitsu

  Division Of Mathematical Science For Social Systems Department Of Systems Innovation Graduate School

• Kanazawa Takafumi

  Division Of Mathematical Science For Social Systems Department Of Systems Innovation Graduate School

• KANAZAWA Takafumi

  Division of Mathematical Science for Social Systems, Department of Systems Innovation, Graduate School of Engineering Science, Osaka University

• USHIO Toshimitsu

  Division of Mathematical Science for Social Systems, Department of Systems Innovation, Graduate School of Engineering Science, Osaka University

• KAWAMURA Tomohiro

  Division of Mathematical Science for Social Systems, Department of Systems Innovation, Graduate School of Engineering Science, Osaka University

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