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A Constant-Factor Approximation for Nash Social Welfare with Subadditive Valuations

Shahar Dobzinski, Wenzheng Li, Aviad Rubinstein, Jan Vondrák

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We present a constant-factor approximation algorithm for the Nash Social Welfare (NSW) maximization problem with subadditive valuations accessible via demand queries. More generally, we propose a framework for NSW optimization which assumes two subroutines which (1) solve a configuration-type LP under certain additional conditions, and (2) round the fractional solution with respect to utilitarian social welfare. In particular, a constant-factor approximation for submodular valuations with value queries can also be derived from our framework.

Original languageEnglish
Title of host publicationSTOC 2024 - Proceedings of the 56th Annual ACM Symposium on Theory of Computing
EditorsBojan Mohar, Igor Shinkar, Ryan O�Donnell
Pages467-478
Number of pages12
ISBN (Electronic)9798400703836
DOIs
StatePublished - 10 Jun 2024
Event56th Annual ACM Symposium on Theory of Computing, STOC 2024 - Vancouver, Canada
Duration: 24 Jun 202428 Jun 2024

Publication series

NameProceedings of the Annual ACM Symposium on Theory of Computing

Conference

Conference56th Annual ACM Symposium on Theory of Computing, STOC 2024
Country/TerritoryCanada
CityVancouver
Period24/06/2428/06/24

All Science Journal Classification (ASJC) codes

  • Software

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