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We study coverage problems in which, for a set of agents and a given threshold $T$, the goal is to select $T$ subsets (of the agents) that, while satisfying combinatorial constraints, achieve fair and efficient coverage among the agents. In…

计算机科学与博弈论 · 计算机科学 2022-07-06 Siddharth Barman , Anand Krishna , Y. Narahari , Soumyarup Sadhukhan

We study the problem of fairly allocating a set of indivisible goods among agents with additive valuations. The extent of fairness of an allocation is measured by its Nash social welfare, which is the geometric mean of the valuations of the…

计算机科学与博弈论 · 计算机科学 2018-07-23 Siddharth Barman , Sanath Kumar Krishnamurthy , Rohit Vaish

For any $\varepsilon>0$, we give a simple, deterministic $(4+\varepsilon)$-approximation algorithm for the Nash social welfare (NSW) problem under submodular valuations. We also consider the asymmetric variant of the problem, where the…

计算机科学与博弈论 · 计算机科学 2026-03-31 Jugal Garg , Edin Husić , Wenzheng Li , László A. Végh , Jan Vondrák

Matching platforms, such as online dating services and job recommendations, have become increasingly prevalent. For the success of these platforms, it is crucial to design reciprocal recommender systems (RRSs) that not only increase the…

信息检索 · 计算机科学 2026-02-26 Yoji Tomita , Tomohiko Yokoyama

We study the problem of maximizing Nash social welfare, which is the geometric mean of agents' utilities, in two well-known models. The first model involves one-sided preferences, where a set of indivisible items is allocated among a group…

计算机科学与博弈论 · 计算机科学 2025-05-19 Salil Gokhale , Harshul Sagar , Rohit Vaish , Vignesh Viswanathan , Jatin Yadav

The maximum Nash social welfare (NSW) -- which maximizes the geometric mean of agents' utilities -- is a fundamental solution concept with remarkable fairness and efficiency guarantees. The computational aspects of NSW have been extensively…

计算机科学与博弈论 · 计算机科学 2023-12-15 Pallavi Jain , Rohit Vaish

We study the problem of efficiently and fairly allocating a set of indivisible goods among agents with identical and additive valuations for the goods. The objective is to maximize the Nash social welfare, which is the geometric mean of the…

数据结构与算法 · 计算机科学 2022-01-06 Asei Inoue , Yusuke Kobayashi

We study the problem of allocating a set of indivisible goods among a set of agents with \emph{2-value additive valuations}. In this setting, each good is valued either $1$ or $p/q$, for some fixed co-prime numbers $p,q\in \mathbb{N}$ such…

We study fair multi-objective reinforcement learning in which an agent must learn a policy that simultaneously achieves high reward on multiple dimensions of a vector-valued reward. Motivated by the fair resource allocation literature, we…

计算机科学与博弈论 · 计算机科学 2024-02-09 Zimeng Fan , Nianli Peng , Muhang Tian , Brandon Fain

The fair division of resources is an important age-old problem that has led to a rich body of literature. At the center of this literature lies the question of whether there exist fair mechanisms despite strategic behavior of the agents. A…

计算机科学与博弈论 · 计算机科学 2017-05-16 Simina Brânzei , Vasilis Gkatzelis , Ruta Mehta

We consider the task of assigning indivisible goods to a set of agents in a fair manner. Our notion of fairness is Nash social welfare, i.e., the goal is to maximize the geometric mean of the utilities of the agents. Each good comes in…

数据结构与算法 · 计算机科学 2019-05-13 Bhaskar Chaudhury , Yun Kuen Cheung , Jugal Garg , Naveen Garg , Martin Hoefer , Kurt Mehlhorn

Mechanism design in resource allocation studies dividing limited resources among self-interested agents whose satisfaction with the allocation depends on privately held utilities. We consider the problem in a payment-free setting, with the…

计算机科学与博弈论 · 计算机科学 2025-01-03 Sihan Zeng , Sujay Bhatt , Alec Koppel , Sumitra Ganesh

A major problem in fair division is how to allocate a set of indivisible resources among agents fairly and efficiently. The goal of this work is to characterize the tradeoffs between two well-studied measures of fairness and efficiency --…

计算机科学与博弈论 · 计算机科学 2024-01-17 Michal Feldman , Simon Mauras , Tomasz Ponitka

We study the problem of allocating a set of indivisible goods among agents with subadditive valuations in a fair and efficient manner. Envy-Freeness up to any good (EFX) is the most compelling notion of fairness in the context of…

计算机科学与博弈论 · 计算机科学 2020-08-18 Bhaskar Ray Chaudhury , Jugal Garg , Ruta Mehta

We give the first $O(1)$-approximation for the weighted Nash Social Welfare problem with additive valuations. The approximation ratio we obtain is $e^{1/e} + \epsilon \approx 1.445 + \epsilon$, which matches the best known approximation…

计算机科学与博弈论 · 计算机科学 2025-08-20 Yuda Feng , Shi Li

Participatory sensing has emerged recently as a promising approach to large-scale data collection. However, without incentives for users to regularly contribute good quality data, this method is unlikely to be viable in the long run. In…

计算机科学与博弈论 · 计算机科学 2014-11-24 Tie Luo , Chen-Khong Tham

We generalize the classic problem of fairly allocating indivisible goods to the problem of \emph{fair public decision making}, in which a decision must be made on several social issues simultaneously, and, unlike the classic setting, a…

计算机科学与博弈论 · 计算机科学 2017-06-01 Vincent Conitzer , Rupert Freeman , Nisarg Shah

The maximization of Nash welfare, which equals the geometric mean of agents' utilities, is widely studied because it balances efficiency and fairness in resource allocation problems. Banerjee, Gkatzelis, Gorokh, and Jin (2022) recently…

数据结构与算法 · 计算机科学 2024-11-11 Zhiyi Huang , Minming Li , Xinkai Shu , Tianze Wei

We study the problem of approximating maximum Nash social welfare (NSW) when allocating m indivisible items among n asymmetric agents with submodular valuations. The NSW is a well-established notion of fairness and efficiency, defined as…

计算机科学与博弈论 · 计算机科学 2020-01-01 Jugal Garg , Pooja Kulkarni , Rucha Kulkarni

The Nash social welfare (NSW) is a well-known social welfare measurement that balances individual utilities and the overall efficiency. In the context of fair allocation of indivisible goods, it has been shown by Caragiannis et al. (EC 2016…

计算机科学与博弈论 · 计算机科学 2020-12-08 Xiaowei Wu , Bo Li , Jiarui Gan
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