手法を比較

	アロー・ドゥブリュー均衡	ベイジアン・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	1967
提唱者	Kenneth Arrow, Gerard Debreu	John Harsanyi
種類	algorithm	algorithm
原典	Arrow, K. J., & Debreu, G. (1954). Existence of an equilibrium for competitive economies. Econometrica, 22(3), 265-290.	Harsanyi, J. C. (1967). Games with incomplete information played by Bayesian players, Parts I, II, and III. Management Science, 14(3), 159-182.
別名	Walrasian Equilibrium, General Equilibrium, Competitive Equilibrium	BNE, Perfect Bayesian Equilibrium, Type-Contingent Equilibrium
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.	Bayesian Nash Equilibrium (BNE) extends Nash Equilibrium to games with incomplete information, where players lack full knowledge of others' payoff functions. Introduced by John Harsanyi in 1967, BNE models strategic interaction under uncertainty by representing unknown payoffs as players' private types drawn from a probability distribution. Equilibrium is found by solving for type-contingent strategies that are best responses to all possible type realizations.