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arXiv · 2309.04656

A constant factor approximation for Nash social welfare with subadditive valuations

Shahar Dobzinski·Wenzheng Li·Aviad Rubinstein·Jan Vondrak
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Abstract

We present a constant-factor approximation algorithm for the Nash social welfare maximization problem with subadditive valuations accessible via demand queries. More generally, we propose a template for NSW optimization by solving a configuration-type LP and using a rounding procedure for (utilitarian) social welfare as a blackbox, which could be applicable to other variants of the problem.

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Shahar Dobzinski, Wenzheng Li, Aviad Rubinstein, Jan Vondrak. 2023-09-09. A constant factor approximation for Nash social welfare with subadditive valuations. https://arxiv.org/abs/2309.04656

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