A constant-factor approximation algorithm for Nash Social Welfare with submodular valuations
Wenzheng Li, Jan Vondrák
2021Year
23Citations
11Top-tier citations
Abstract
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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Install the CLIlune papers fulltext c2737cc6-d2f4-43b4-897d-3b6681ed7b32Cited by top-tier papers11
- Maximizing Nash Social Welfare in 2-Value InstancesHannaneh Akrami, Bhaskar Ray Chaudhury, Martin Hoefer, Kurt Mehlhorn et al.AAAI 2022 · 31 citations
- Approximating Nash Social Welfare by Matching and Local SearchJugal Garg, Edin Husic, Wenzheng Li, László A. Végh et al.STOC 2023 · 8 citations
- Approximation Algorithms for the Weighted Nash Social Welfare via Convex and Non-Convex ProgramsAdam Brown, Aditi Laddha, Madhusudhan Reddy Pittu, Mohit SinghSODA 2024 · 6 citations
- Constant Approximation for Weighted Nash Social Welfare with Submodular ValuationsYuda Feng, Yang Hu, Shi Li, Ruilong ZhangSTOC 2025 · 6 citations
- Nash Social Welfare with Submodular Valuations: Approximation Algorithms and Integrality GapsXiaohui Bei, Yuda Feng, Yang Hu, Shi Li et al.STOC 2026 · 5 citations
Builds on5
- A Little Charity Guarantees Almost Envy-FreenessBhaskar Ray Chaudhury, Telikepalli Kavitha, Kurt Mehlhorn, Alkmini SgouritsaSODA 2020 · 97 citations
- Fair and Efficient Allocations under Subadditive ValuationsBhaskar Ray Chaudhury, Jugal Garg, Ruta MehtaAAAI 2021 · 41 citations
- Approximating Nash Social Welfare under Submodular Valuations through (Un)MatchingsJugal Garg, Pooja Kulkarni, Rucha KulkarniSODA 2020 · 39 citations
- Estimating the Nash Social Welfare for coverage and other submodular valuationsWenzheng Li, Jan VondrákSODA 2021 · 10 citations
- Approximating Nash social welfare under rado valuationsJugal Garg, Edin Husic, László A. VéghSTOC 2021 · 6 citations
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