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クールノー競争×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18381950
提唱者Augustin-Louis CournotJohn Nash
種類algorithmalgorithm
原典Cournot, A. A. (1838). Recherches sur les principes mathématiques de la théorie des richesses. L. Hachette. link ↗Nash, J. F. (1950). Equilibrium points in N-person games. Proceedings of the National Academy of Sciences, 36(1), 48-49. DOI ↗
別名Quantity Competition, Cournot Equilibrium, Cournot-Nash EquilibriumLemke-Howson Equilibrium, Completely Labeled Pair
関連44
概要Cournot Competition models oligopolistic markets where firms choose quantities simultaneously, not prices. Originally formulated by Augustin-Louis Cournot in 1838, the model assumes each firm's profit depends on the total market quantity produced. The resulting Cournot-Nash Equilibrium captures the strategic interaction where each firm maximizes profit given competitors' quantities, leading to prices between monopoly and perfect competition levels.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: Cournot Competition · Nash Equilibrium. 2026-06-18に以下より取得 https://scholargate.app/ja/compare