A constant factor approximation for Nash social welfare with subadditive valuations

September 09, 2023 Β· Declared Dead Β· πŸ› Symposium on the Theory of Computing

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Authors Shahar Dobzinski, Wenzheng Li, Aviad Rubinstein, Jan Vondrak arXiv ID 2309.04656 Category cs.GT: Game Theory Cross-listed cs.DS Citations 11 Venue Symposium on the Theory of Computing Last Checked 4 months ago
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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