A constant-factor approximation algorithm for Nash Social Welfare with submodular valuations
Computer Science and Game Theory
2021-11-18 v2 Data Structures and Algorithms
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.
Cite
@article{arxiv.2103.10536,
title = {A constant-factor approximation algorithm for Nash Social Welfare with submodular valuations},
author = {Wenzheng Li and Jan Vondrák},
journal= {arXiv preprint arXiv:2103.10536},
year = {2021}
}
Related papers
View all related →
Computer Science and Game Theory · Computer Science
A constant factor approximation for Nash social welfare with subadditive valuations
Shahar Dobzinski, Wenzheng Li, Aviad Rubinstein, Jan Vondrak
2023-09-12
Computer Science and Game Theory · Computer Science
Estimating the Nash Social Welfare for coverage and other submodular valuations
Wenzheng Li, Jan Vondrak
2021-01-08
Computer Science and Game Theory · Computer Science
NP-Hardness of Approximating Nash Social Welfare with Supermodular Valuations
Alon Bebchuk
2025-10-31
Computer Science and Game Theory · Computer Science
Approximating Nash Social Welfare by Matching and Local Search
Jugal Garg, Edin Husić, Wenzheng Li, László A. Végh +1
2026-03-31
Computer Science and Game Theory · Computer Science
Approximating Nash Social Welfare under Rado Valuations
Jugal Garg, Edin Husic, Laszlo A. Vegh
2020-10-02
Computer Science and Game Theory · Computer Science
Approximating One-Sided and Two-Sided Nash Social Welfare With Capacities
Salil Gokhale, Harshul Sagar, Rohit Vaish, Vignesh Viswanathan +1
2025-05-19
Computer Science and Game Theory · Computer Science
Approximating Nash Social Welfare under Submodular Valuations through (Un)Matchings
Jugal Garg, Pooja Kulkarni, Rucha Kulkarni
2020-01-01
Computer Science and Game Theory · Computer Science
Approximating Nash Social Welfare under Binary XOS and Binary Subadditive Valuations
Siddharth Barman, Paritosh Verma
2021-10-27
Computer Science and Game Theory · Computer Science
Nash Social Welfare with Submodular Valuations: Approximation Algorithms and Integrality Gaps
Xiaohui Bei, Yuda Feng, Yang Hu, Shi Li +1
2025-11-06
Computer Science and Game Theory · Computer Science
Constant Approximation for Weighted Nash Social Welfare with Submodular Valuations
Yuda Feng, Yang Hu, Shi Li, Ruilong Zhang
2025-11-05
Computer Science and Game Theory · Computer Science
A Note on Approximating Weighted Nash Social Welfare with Additive Valuations
Yuda Feng, Shi Li
2025-08-20
Computer Science and Game Theory · Computer Science
Tight Approximation Algorithms for p-Mean Welfare Under Subadditive Valuations
Siddharth Barman, Umang Bhaskar, Anand Krishna, Ranjani G. Sundaram
2020-07-07
Data Structures and Algorithms · Computer Science
An Additive Approximation Scheme for the Nash Social Welfare Maximization with Identical Additive Valuations
Asei Inoue, Yusuke Kobayashi
2022-01-06
Computer Science and Game Theory · Computer Science
Nash Social Welfare for 2-value Instances
Hannaneh Akrami, Bhaskar Ray Chaudhury, Kurt Mehlhorn, Golnoosh Shahkarami +1
2021-10-13
Computer Science and Game Theory · Computer Science
Greedy Algorithms for Maximizing Nash Social Welfare
Siddharth Barman, Sanath Kumar Krishnamurthy, Rohit Vaish
2018-07-23
Data Structures and Algorithms · Computer Science
Nash Social Welfare, Matrix Permanent, and Stable Polynomials
Nima Anari, Shayan Oveis Gharan, Amin Saberi, Mohit Singh
2016-09-26
Computer Science and Game Theory · Computer Science
Nash Social Welfare for Indivisible Items under Separable, Piecewise-Linear Concave Utilities
Nima Anari, Tung Mai, Shayan Oveis Gharan, Vijay V. Vazirani
2017-04-10
Computer Science and Game Theory · Computer Science
Maximizing Nash Social Welfare in 2-Value Instances
Hannaneh Akrami, Bhaskar Ray Chaudhury, Martin Hoefer, Kurt Mehlhorn +5
2021-10-04
Computer Science and Game Theory · Computer Science
Sublinear Approximation Algorithm for Nash Social Welfare with XOS Valuations
Siddharth Barman, Anand Krishna, Pooja Kulkarni, Shivika Narang
2022-07-18
Computer Science and Game Theory · Computer Science
Nash Welfare Guarantees for Fair and Efficient Coverage
Siddharth Barman, Anand Krishna, Y. Narahari, Soumyarup Sadhukhan
2022-07-06
Data Structures and Algorithms · Computer Science
Approximation Algorithms for the Weighted Nash Social Welfare via Convex and Non-Convex Programs
Adam Brown, Aditi Laddha, Madhusudhan Reddy Pittu, Mohit Singh
2024-01-08
Computer Science and Game Theory · Computer Science
Nash Welfare and Facility Location
Alexander Lam, Haris Aziz, Toby Walsh
2023-10-09
Computer Science and Game Theory · Computer Science
Uniform Welfare Guarantees Under Identical Subadditive Valuations
Siddharth Barman, Ranjani G. Sundaram
2020-05-04
Data Structures and Algorithms · Computer Science
Welfarist Formulations for Diverse Similarity Search
Siddharth Barman, Nirjhar Das, Shivam Gupta, Kirankumar Shiragur
2026-02-10
Computer Science and Game Theory · Computer Science
Fairness and Incentive Compatibility via Percentage Fees
Shahar Dobzinski, Sigal Oren, Jan Vondrak
2024-02-23