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The leximin solution -- which selects an allocation that maximizes the minimum utility, then the second minimum utility, and so forth -- is known to provide EFX (envy-free up to any good) fairness guarantee in some contexts when allocating…

Computer Science and Game Theory · Computer Science 2020-05-12 Xingyu Chen , Zijie Liu

For the fundamental problem of fairly dividing a set of indivisible items among agents, envy-freeness up to any item (EFX) and maximin fairness (MMS) are arguably the most compelling fairness concepts proposed until now. Unfortunately,…

Computer Science and Game Theory · Computer Science 2025-01-15 Ioannis Caragiannis , Jugal Garg , Nidhi Rathi , Eklavya Sharma , Giovanna Varricchio

We investigate the existence of fair and efficient allocations of indivisible chores to asymmetric agents who have unequal entitlements or weights. We consider the fairness notion of weighted envy-freeness up to one chore (wEF1) and the…

Computer Science and Game Theory · Computer Science 2024-02-28 Jugal Garg , Aniket Murhekar , John Qin

We initiate the study of fair distribution of delivery tasks among a set of agents wherein delivery jobs are placed along the vertices of a graph. Our goal is to fairly distribute delivery costs (modeled as a submodular function) among a…

Computer Science and Game Theory · Computer Science 2025-06-23 Hadi Hosseini , Shivika Narang , Tomasz Wąs

We study the fair division of indivisible items and provide new insights into the EFX problem, which is widely regarded as the central open question in fair division, and the PMMS problem, a strictly stronger variant of EFX. Our first…

Computer Science and Game Theory · Computer Science 2025-07-31 Jarosław Byrka , Franciszek Malinka , Tomasz Ponitka

We study an online version of the max-min fair allocation problem for indivisible items. In this problem, items arrive one by one, and each item must be allocated irrevocably on arrival to one of $n$ agents, who have additive valuations for…

Computer Science and Game Theory · Computer Science 2021-11-16 Yasushi Kawase , Hanna Sumita

We consider item allocation to individual agents who have additive valuations, in settings in which there are protected groups, and the allocation needs to give each protected group its "fair" share of the total welfare. Informally, within…

Computer Science and Game Theory · Computer Science 2022-04-15 Uriel Feige , Yehonatan Tahan

We study fair division of indivisible mixed manna (items whose values may be positive, negative, or zero) among agents with additive valuations. Here, we establish that fairness -- in terms of a relaxation of envy-freeness -- and Pareto…

Computer Science and Game Theory · Computer Science 2025-10-16 Siddharth Barman , Vishwa Prakash HV , Aditi Sethia , Mashbat Suzuki

We consider the problem of fair allocation of $m$ indivisible items to a group of $n$ agents with subsidy (money). Our work mainly focuses on the allocation of chores but most of our results extend to the allocation of goods as well. We…

Computer Science and Game Theory · Computer Science 2023-07-11 Xiaowei Wu , Cong Zhang , Shengwei Zhou

We study the problem of fairly assigning a set of discrete tasks (or chores) among a set of agents with additive valuations. Each chore is associated with a start and finish time, and each agent can perform at most one chore at any given…

Computer Science and Game Theory · Computer Science 2026-05-06 Sarfaraz Equbal , Rohit Gurjar , Yatharth Kumar , Swaprava Nath , Raghuvansh Saxena , Rohit Vaish

We study the problem of allocating indivisible resources under the connectivity constraints of a graph $G$. This model, initially introduced by Bouveret et al. (published in IJCAI, 2017), effectively encompasses a diverse array of scenarios…

Computer Science and Game Theory · Computer Science 2024-08-27 Halvard Hummel , Ayumi Igarashi

We study the problem of allocating indivisible goods among agents with additive valuation functions to achieve both fairness and efficiency under the constraint that each agent receives exactly the same number of goods (the \emph{balanced…

Computer Science and Game Theory · Computer Science 2026-03-09 Yasushi Kawase , Ryoga Mahara

Dominant resource fairness (DRF) is a popular mechanism for multi-resource allocation in cloud computing systems. In this paper, we consider a problem of multi-resource fair allocation with bounded number of tasks. Firstly, we propose the…

Computer Science and Game Theory · Computer Science 2016-10-27 Weidong Li , Xi Liu , Xiaolu Zhang , Xuejie Zhang

We consider the problem of fair allocation of indivisible items among $n$ agents with additive valuations, when agents have equal entitlements to the goods, and there are no transfers. Best-of-Both-Worlds (BoBW) fairness mechanisms aim to…

Computer Science and Game Theory · Computer Science 2022-03-25 Moshe Babaioff , Tomer Ezra , Uriel Feige

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…

Computer Science and Game Theory · Computer Science 2024-11-04 Benjamin Cookson , Soroush Ebadian , Nisarg Shah

When dividing items among agents, two of the most widely studied fairness notions are envy-freeness and proportionality. We consider a setting where $m$ chores are allocated to $n$ agents and the disutility of each chore for each agent is…

Computer Science and Game Theory · Computer Science 2025-04-30 Pasin Manurangsi , Warut Suksompong

We consider the computation for allocations of indivisible chores that are approximately EFX and Pareto optimal (PO). Recently, Garg et al. (2024) show the existence of $3$-EFX and PO allocations for bi-valued instances, where the cost of…

Computer Science and Game Theory · Computer Science 2025-01-09 Zehan Lin , Xiaowei Wu , Shengwei Zhou

In this paper, we study a new decision-making problem called the bandit max-min fair allocation (BMMFA) problem. The goal of this problem is to maximize the minimum utility among agents with additive valuations by repeatedly assigning…

Machine Learning · Computer Science 2025-05-09 Tsubasa Harada , Shinji Ito , Hanna Sumita

We consider a multi-agent resource allocation setting in which an agent's utility may decrease or increase when an item is allocated. We take the group envy-freeness concept that is well-established in the literature and present stronger…

Computer Science and Game Theory · Computer Science 2019-07-23 Haris Aziz , Simon Rey

Several relaxations of envy-freeness, tailored to fair division in settings with indivisible goods, have been introduced within the last decade. Due to the lack of general existence results for most of these concepts, great attention has…

Computer Science and Game Theory · Computer Science 2021-03-09 Georgios Amanatidis , Apostolos Ntokos , Evangelos Markakis