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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 learning | Machine learning |
| 提唱年≠ | 1838 | 1950 |
| 提唱者≠ | Augustin-Louis Cournot | John Nash |
| 種類 | algorithm | algorithm |
| 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 Equilibrium | Lemke-Howson Equilibrium, Completely Labeled Pair |
| 関連 | 4 | 4 |
| 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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