论文标题
核心和稳定性概念在多对多匹配的市场中
Core and stability notions in many-to-one matching markets with indifferences
论文作者
论文摘要
在允许冷漠的响应偏好的多对分匹配模型中，我们研究了三个核心概念，三个稳定性概念及其关系。我们表明（i）核心包含稳定的集合，（ii）强核与强稳定的集合一致，并且（iii）超级核心与超稳定集合一致。我们还展示了具有冷漠的市场中的核心和强大核心与相关的抢七严格市场的稳定匹配有关。
In a many-to-one matchingmodel with responsive preferences in which indifferences are allowed, we study three notions of core, three notions of stability, and their relationships. We show that (i) the core contains the stable set, (ii) the strong core coincides with the strongly stable set, and (iii) the super core coincides with the super stable set. We also show how the core and the strong core in markets with indifferences relate to the stable matchings of their associated tie-breaking strict markets.
