Methoden vergleichen

	Gleichgewicht nach Arrow-Debreu	Nash-Gleichgewicht
Fachgebiet	Spieltheorie	Spieltheorie
Familie	Machine learning	Machine learning
Entstehungsjahr	1954	1950
Urheber	Kenneth Arrow, Gerard Debreu	John Nash
Typ	algorithm	algorithm
Wegweisende Quelle	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.
Aliasnamen	Walrasian Equilibrium, General Equilibrium, Competitive Equilibrium	Lemke-Howson Equilibrium, Completely Labeled Pair
Verwandt	4	4
Zusammenfassung	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.