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Algoritam Gale-Shapley×Najbolji trgovački ciklusi×
PodručjeTeorija igaraTeorija igara
ObiteljMachine learningMachine learning
Godina nastanka19621974
TvoracDavid Gale, Lloyd ShapleyLloyd Shapley, Herbert Scarf
Vrstaalgorithmalgorithm
Temeljni izvorGale, D., & Shapley, L. S. (1962). College admissions and the stability of marriage. The American Mathematical Monthly, 69(1), 9-15. DOI ↗Shapley, L. S., & Scarf, H. (1974). On cores and indivisibility. Journal of Mathematical Economics, 1(1), 23-37. DOI ↗
Drugi naziviStable Marriage Problem, Deferred Acceptance, Two-Sided MatchingTTC, Shapley-Scarf Algorithm, Efficient Exchange
Srodne44
SažetakThe 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.Top Trading Cycles (TTC) is an algorithm for allocating indivisible goods to agents such that the allocation is Pareto efficient and individually rational. Developed by Lloyd Shapley and Herbert Scarf in 1974, the algorithm identifies cycles of trades in a preference digraph, executes those trades, and iteratively repeats until no further trades are beneficial. TTC is widely used in kidney exchange and housing allocation due to its efficiency and implementation simplicity.
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ScholarGateUsporedite metode: Gale-Shapley Algorithm · Top Trading Cycles. Preuzeto 2026-06-18 s https://scholargate.app/hr/compare