So sánh phương pháp

	Chu trình Giao dịch Tối ưu	Cân bằng Nash Bayes
Lĩnh vực	Lý thuyết trò chơi	Lý thuyết trò chơi
Họ	Machine learning	Machine learning
Năm ra đời	1974	1967
Người khởi xướng	Lloyd Shapley, Herbert Scarf	John Harsanyi
Loại	algorithm	algorithm
Công trình gốc	Shapley, L. S., & Scarf, H. (1974). On cores and indivisibility. Journal of Mathematical Economics, 1(1), 23-37.	Harsanyi, J. C. (1967). Games with incomplete information played by Bayesian players, Parts I, II, and III. Management Science, 14(3), 159-182.
Tên gọi khác	TTC, Shapley-Scarf Algorithm, Efficient Exchange	BNE, Perfect Bayesian Equilibrium, Type-Contingent Equilibrium
Liên quan	4	4
Tóm tắt	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.	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.