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進化ゲーム理論×ナッシュ均衡×
分野ゲーム理論ゲーム理論
系統Machine learningMachine learning
提唱年19731950
提唱者John Maynard Smith, George PriceJohn Nash
種類algorithmalgorithm
原典Smith, J. M., & Price, G. R. (1973). The logic of animal conflict. Nature, 246(5427), 15-18. DOI ↗Nash, J. F. (1950). Equilibrium points in N-person games. Proceedings of the National Academy of Sciences, 36(1), 48-49. DOI ↗
別名ESS, Evolutionarily Stable Strategy, Replicator DynamicsLemke-Howson Equilibrium, Completely Labeled Pair
関連44
概要Evolutionary Game Theory applies game-theoretic reasoning to biological evolution and social dynamics, where populations of agents with different strategies interact repeatedly. Introduced by John Maynard Smith and George Price in 1973, the framework uses the concept of Evolutionarily Stable Strategies (ESS) to identify strategy distributions that cannot be invaded by mutant strategies. Replicator dynamics describe how strategy frequencies evolve over time when reproduction is proportional to payoff success.Nash Equilibrium is a game-theoretic solution concept where no player can unilaterally deviate to improve their payoff. Formalized by John Nash in 1950, the Lemke-Howson algorithm computationally finds equilibria in bimatrix games by identifying completely labeled vertex pairs in the strategy polytopes.
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ScholarGate手法を比較: Evolutionary Game Theory · Nash Equilibrium. 2026-06-18に以下より取得 https://scholargate.app/ja/compare