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arXiv · 2005.05228

Approximating Stable Matchings with Ties of Bounded Size

Jochen Koenemann·Kanstantsin Pashkovich·Natig Tofigzade
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Abstract

Finding a stable matching is one of the central problems in algorithmic game theory. If participants are allowed to have ties and incomplete preferences, computing a stable matching of maximum cardinality is known to be NP-hard. In this paper we present a $(3L-2)/(2L-1)$-approximation algorithm for the stable matching problem with ties of size at most $L$ and incomplete lists. Our result matches the known lower bound on the integrality gap for the associated LP formulation.

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Jochen Koenemann, Kanstantsin Pashkovich, Natig Tofigzade. 2020-05-11. Approximating Stable Matchings with Ties of Bounded Size. https://arxiv.org/abs/2005.05228

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