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Fairness and efficiency have become the pillars of modern fair division research, but prior work on achieving both simultaneously is largely limited to the unconstrained setting. We study fair and efficient allocations of indivisible goods…

计算机科学与博弈论 · 计算机科学 2024-11-04 Benjamin Cookson , Soroush Ebadian , Nisarg Shah

We study the problem of allocating divisible resources among $n$ agents, hopefully in a fair and efficient manner. With the presence of strategic agents, additional incentive guarantees are also necessary, and the problem of designing fair…

计算机科学与博弈论 · 计算机科学 2025-04-25 Xiaohui Bei , Biaoshuai Tao , Jiajun Wu , Mingwei Yang

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 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

We study the problem of allocating a set of indivisible items to agents with supermodular utilities to maximize the Nash social welfare. We show that the problem is NP-hard for any approximation factor.

计算机科学与博弈论 · 计算机科学 2025-10-31 Alon Bebchuk

We study the computational complexity of finding fair allocations of indivisible goods in the setting where a social network on the agents is given. Notions of fairness in this context are "localized", that is, agents are only concerned…

计算机科学与博弈论 · 计算机科学 2021-11-24 Neeldhara Misra , Debanuj Nayak

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 fair allocation of indivisible public goods subject to cardinality (budget) constraints. In this model, we have n agents and m available public goods, and we want to select $k \leq m$ goods in a fair and efficient manner. We first…

计算机科学与博弈论 · 计算机科学 2021-07-22 Jugal Garg , Pooja Kulkarni , Aniket Murhekar

We study the problem of allocating indivisible items to budget-constrained agents, aiming to provide fairness and efficiency guarantees. Specifically, our goal is to ensure that the resulting allocation is envy-free up to any item (EFx)…

计算机科学与博弈论 · 计算机科学 2023-08-04 Marius Garbea , Vasilis Gkatzelis , Xizhi Tan

We study the problem of allocating indivisible goods among agents that have an identical subadditive valuation over the goods. The extent of fairness and efficiency of allocations is measured by the generalized means of the values that the…

计算机科学与博弈论 · 计算机科学 2020-05-04 Siddharth Barman , Ranjani G. Sundaram

Fair allocation of indivisible goods studies allocating $m$ goods among $n$ agents in a fair manner. While fairness is a fundamental requirement in many real-world applications, it often conflicts with (economic) efficiency. This raises a…

计算机科学与博弈论 · 计算机科学 2025-06-03 Xiaolin Bu , Zihao Li , Shengxin Liu , Jiaxin Song , Biaoshuai Tao

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

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

A set of $m$ indivisible goods is to be allocated to a set of $n$ agents. Each agent $i$ has an additive valuation function $v_i$ over goods. The value of a good $g$ for agent $i$ is either $1$ or $s$, where $s$ is a fixed rational number…

计算机科学与博弈论 · 计算机科学 2026-02-23 Kurt Mehlhorn

This paper is merged with arXiv:2107.08965v2. We refer the reader to the full and updated version. We study the problem of allocating a set of indivisible goods among agents with 2-value additive valuations. Our goal is to find an…

计算机科学与博弈论 · 计算机科学 2021-10-13 Hannaneh Akrami , Bhaskar Ray Chaudhury , Kurt Mehlhorn , Golnoosh Shahkarami , Quentin Vermande

We consider the problem of allocating divisible items among multiple agents, and consider the setting where any agent is allowed to introduce diversity constraints on the items they are allocated. We motivate this via settings where the…

计算机科学与博弈论 · 计算机科学 2021-10-01 Zeyu Shen , Lodewijk Gelauff , Ashish Goel , Aleksandra Korolova , Kamesh Munagala

We investigate the fair allocation of indivisible goods to agents with possibly different entitlements represented by weights. Previous work has shown that guarantees for additive valuations with existing envy-based notions cannot be…

计算机科学与博弈论 · 计算机科学 2025-04-18 Luisa Montanari , Ulrike Schmidt-Kraepelin , Warut Suksompong , Nicholas Teh

In standard fair division models, we assume that all agents are selfish. However, in many scenarios, division of resources has a direct impact on the whole group or even society. Therefore, we study fair allocations of indivisible items…

计算机科学与博弈论 · 计算机科学 2025-11-13 Argyris Deligkas , Eduard Eiben , Tiger-Lily Goldsmith , Dušan Knop , Šimon Schierreich

We consider a multi-agent model for fair division of mixed manna (i.e. items for which agents can have positive, zero or negative utilities), in which agents have additive utilities for bundles of items. For this model, we give several…

人工智能 · 计算机科学 2019-12-18 Martin Aleksandrov , Toby Walsh

We study the fair allocation of indivisible items to $n$ agents to maximize the utilitarian social welfare, where the fairness criterion is envy-free up to one item and there are only two different utility functions shared by the agents. We…

计算机科学与博弈论 · 计算机科学 2025-09-12 Jiaxuan Ma , Yong Chen , Guangting Chen , Mingyang Gong , Guohui Lin , An Zhang