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アロー・ドゥブリュー均衡×クールノー競争×
分野ゲーム理論ゲーム理論
系統Machine learningMachine learning
提唱年19541838
提唱者Kenneth Arrow, Gerard DebreuAugustin-Louis Cournot
種類algorithmalgorithm
原典Arrow, K. J., & Debreu, G. (1954). Existence of an equilibrium for competitive economies. Econometrica, 22(3), 265-290. DOI ↗Cournot, A. A. (1838). Recherches sur les principes mathématiques de la théorie des richesses. L. Hachette. link ↗
別名Walrasian Equilibrium, General Equilibrium, Competitive EquilibriumQuantity Competition, Cournot Equilibrium, Cournot-Nash Equilibrium
関連44
概要The Arrow-Debreu model is a general equilibrium framework where prices adjust to clear all markets simultaneously, and consumers and firms optimize given those prices. Introduced by Kenneth Arrow and Gerard Debreu in 1954, the model extends Adam Smith's invisible hand concept into a rigorous mathematical framework. Arrow-Debreu equilibrium proves existence, uniqueness (under certain conditions), and Pareto efficiency of competitive equilibria.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.
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ScholarGate手法を比較: Arrow-Debreu Equilibrium · Cournot Competition. 2026-06-19に以下より取得 https://scholargate.app/ja/compare