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arXiv · 2208.11272

Strongly Stable Matchings under Matroid Constraints

Naoyuki Kamiyama
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Abstract

We consider a many-to-one variant of the stable matching problem. More concretely, we consider the variant of the stable matching problem where one side has a matroid constraint. Furthermore, we consider the situation where the preference of each agent may contain ties. In this setting, we consider the problem of checking the existence of a strongly stable matching, and finding a strongly stable matching if a strongly stable matching exists. We propose a polynomial-time algorithm for this problem.

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Naoyuki Kamiyama. 2022-08-24. Strongly Stable Matchings under Matroid Constraints. https://arxiv.org/abs/2208.11272

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