手法を比較

	ナッシュ均衡	シャープレイ値
分野	ゲーム理論	ゲーム理論
系統	Machine learning	Machine learning
提唱年	1950	1953
提唱者	John Nash	Lloyd Shapley
種類	algorithm	algorithm
原典	Nash, J. F. (1950). Equilibrium points in N-person games. Proceedings of the National Academy of Sciences, 36(1), 48-49.	Shapley, L. S. (1953). A value for n-person games. In H. W. Kuhn & A. W. Tucker (Eds.), Contributions to the Theory of Games II (pp. 307-317). Princeton University Press.
別名	Lemke-Howson Equilibrium, Completely Labeled Pair	Fair Division, Cooperative Game Solution, Dividend Vector
関連	4	4
概要	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.	The Shapley Value is a solution concept for coalition games that distributes total payoff fairly among players based on their marginal contributions to coalitions. Introduced by Lloyd Shapley in 1953, the Shapley Value is the unique payoff distribution that satisfies four intuitive axioms: efficiency (total payoff is distributed), symmetry (identical players receive equal payoff), null player (players contributing nothing receive nothing), and additivity across games.