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  1. Mohar, Bojan ; Shinkar, Igor ; O'Donnell, Ryan (Ed.)
    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. 
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    Free, publicly-accessible full text available June 11, 2025
  2. Mohar, Bojan ; Shinkar, Igor ; O'Donnell, Ryan (Ed.)
    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 that (1) solve a conguration-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. 
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    Free, publicly-accessible full text available June 10, 2025
  3. Nisheeth K. Vishnoi (Ed.)
    We present a 380-approximation algorithm for the Nash Social Welfare problem with submodular valuations. Our algorithm builds on and extends a recent constant-factor approximation for Rado valuations [15]. 
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