论文标题

饱和稳定的比赛

Saturating stable matchings

论文作者

Maaz, Muhammad

论文摘要

我将双方图形匹配与稳定的匹配相关联。我证明了存在饱和稳定匹配的必要条件,其中所有可能的偏好都匹配了一侧的每个代理。我将分析扩展到完美的稳定匹配,在该比赛中,双方的每个代理都匹配。

I relate bipartite graph matchings to stable matchings. I prove a necessary and sufficient condition for the existence of a saturating stable matching, where every agent on one side is matched, for all possible preferences. I extend my analysis to perfect stable matchings, where every agent on both sides is matched.

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