เปรียบเทียบวิธี
ดูวิธีที่เลือกเทียบกันแบบเคียงข้าง แถวที่ต่างกันจะถูกเน้นไว้
| Top Trading Cycles× | อัลกอริทึม Gale-Shapley× | |
|---|---|---|
| สาขาวิชา | ทฤษฎีเกม | ทฤษฎีเกม |
| ตระกูล | Machine learning | Machine learning |
| ปีกำเนิด≠ | 1974 | 1962 |
| ผู้ริเริ่ม≠ | Lloyd Shapley, Herbert Scarf | David Gale, Lloyd Shapley |
| ประเภท | algorithm | algorithm |
| แหล่งต้นตำรับ≠ | Shapley, L. S., & Scarf, H. (1974). On cores and indivisibility. Journal of Mathematical Economics, 1(1), 23-37. DOI ↗ | Gale, D., & Shapley, L. S. (1962). College admissions and the stability of marriage. The American Mathematical Monthly, 69(1), 9-15. DOI ↗ |
| ชื่อเรียกอื่น | TTC, Shapley-Scarf Algorithm, Efficient Exchange | Stable Marriage Problem, Deferred Acceptance, Two-Sided Matching |
| ที่เกี่ยวข้อง | 4 | 4 |
| สรุป≠ | 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. | 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. |
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