Порівняння методів
Переглядайте обрані методи поруч; рядки з відмінностями підсвічено.
| Алгоритм Гейла-Шеплі× | Найкращі торгові цикли× | |
|---|---|---|
| Галузь | Теорія ігор | Теорія ігор |
| Родина | Machine learning | Machine learning |
| Рік появи≠ | 1962 | 1974 |
| Автор методу≠ | David Gale, Lloyd Shapley | Lloyd Shapley, Herbert Scarf |
| Тип | algorithm | algorithm |
| Основоположне джерело≠ | Gale, 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 ↗ |
| Інші назви | Stable Marriage Problem, Deferred Acceptance, Two-Sided Matching | TTC, Shapley-Scarf Algorithm, Efficient Exchange |
| Пов'язані | 4 | 4 |
| Підсумок≠ | 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. | 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. |
| ScholarGateНабір даних ↗ |
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