قارن الطرق

	خوارزمية غيل-شابلي	توازن ناش البيزي
المجال	نظرية الألعاب	نظرية الألعاب
العائلة	Machine learning	Machine learning
سنة النشأة	1962	1967
صاحب الطريقة	David Gale, Lloyd Shapley	John Harsanyi
النوع	algorithm	algorithm
المصدر التأسيسي	Gale, D., & Shapley, L. S. (1962). College admissions and the stability of marriage. The American Mathematical Monthly, 69(1), 9-15.	Harsanyi, J. C. (1967). Games with incomplete information played by Bayesian players, Parts I, II, and III. Management Science, 14(3), 159-182.
الأسماء البديلة	Stable Marriage Problem, Deferred Acceptance, Two-Sided Matching	BNE, Perfect Bayesian Equilibrium, Type-Contingent Equilibrium
ذات صلة	4	4
الملخص	The Gale-Shapley algorithm solves the stable marriage problem: how to match two groups (e.g., medical residents to hospitals, students to schools) such that no pair prefers each other to their assigned partners. Introduced by David Gale and Lloyd Shapley in 1962, the algorithm guarantees a stable matching in polynomial time through a deferred acceptance process where one side proposes sequentially and the other side responds, revising choices as better options arrive.	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.