เปรียบเทียบวิธี

	ค่าแชปลีย์	Top Trading Cycles
สาขาวิชา	ทฤษฎีเกม	ทฤษฎีเกม
ตระกูล	Machine learning	Machine learning
ปีกำเนิด	1953	1974
ผู้ริเริ่ม	Lloyd Shapley	Lloyd Shapley, Herbert Scarf
ประเภท	algorithm	algorithm
แหล่งต้นตำรับ	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.	Shapley, L. S., & Scarf, H. (1974). On cores and indivisibility. Journal of Mathematical Economics, 1(1), 23-37.
ชื่อเรียกอื่น	Fair Division, Cooperative Game Solution, Dividend Vector	TTC, Shapley-Scarf Algorithm, Efficient Exchange
ที่เกี่ยวข้อง	4	4
สรุป	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.	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.