手法を比較

	アロー・ドゥブリュー均衡	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	1954	1950
提唱者	Kenneth Arrow, Gerard Debreu	John Nash
種類	algorithm	algorithm
原典	Arrow, K. J., & Debreu, G. (1954). Existence of an equilibrium for competitive economies. Econometrica, 22(3), 265-290.	Nash, J. F. (1950). Equilibrium points in N-person games. Proceedings of the National Academy of Sciences, 36(1), 48-49.
別名	Walrasian Equilibrium, General Equilibrium, Competitive Equilibrium	Lemke-Howson Equilibrium, Completely Labeled Pair
関連	4	4
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.	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.