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To divide a "manna" {\Omega} of private items (commodities, workloads, land, time intervals) between n agents, the worst case measure of fairness is the welfare guaranteed to each agent, irrespective of others' preferences. If the manna is…

Theoretical Economics · Economics 2020-09-17 Anna bogomolnaia , Herve Moulin

While conventional ranking systems focus solely on maximizing the utility of the ranked items to users, fairness-aware ranking systems additionally try to balance the exposure for different protected attributes such as gender or race. To…

Machine Learning · Computer Science 2021-12-14 Omid Memarrast , Ashkan Rezaei , Rizal Fathony , Brian Ziebart

Envy-freeness up to any good (EFX) is a popular and important fairness property in the fair allocation of indivisible goods, of which its existence in general is still an open question. In this work, we investigate the problem of…

Computer Science and Game Theory · Computer Science 2025-04-08 Tzeh Yuan Neoh , Nicholas Teh

We study the problem of designing truthful and fair mechanisms when allocating a mixture of divisible and indivisible goods. We first show that there does not exist an EFM (envy-free for mixed goods) and truthful mechanism in general. This…

Computer Science and Game Theory · Computer Science 2023-05-17 Zihao Li , Shengxin Liu , Xinhang Lu , Biaoshuai Tao

When users access shared resources in a selfish manner, the resulting societal cost and perceived users' cost is often higher than what would result from a centrally coordinated optimal allocation. While several contributions in mechanism…

Computer Science and Game Theory · Computer Science 2024-03-08 Leonardo Pedroso , Andrea Agazzi , W. P. M. H. Heemels , Mauro Salazar

We consider the problem of fairly allocating indivisible public goods. We model the public goods as elements with feasibility constraints on what subsets of elements can be chosen, and assume that agents have additive utilities across…

Computer Science and Game Theory · Computer Science 2018-05-10 Brandon Fain , Kamesh Munagala , Nisarg Shah

We study the problem of fairly allocating indivisible goods to groups of agents. Agents in the same group share the same set of goods even though they may have different preferences. Previous work has focused on unanimous fairness, in which…

Computer Science and Game Theory · Computer Science 2020-01-01 Erel Segal-Halevi , Warut Suksompong

We consider the problem of fairly allocating a set of indivisible goods among agents with additive valuations. Ex-ante fairness (proportionality) can trivially be obtained by giving all goods to a random agent. Yet, such an allocation is…

Computer Science and Game Theory · Computer Science 2026-01-26 Moshe Babaioff , Yuval Grofman

Fair allocation of indivisible goods has attracted extensive attention over the last two decades, yielding numerous elegant algorithmic results and producing challenging open questions. The problem becomes much harder in the presence of…

Computer Science and Game Theory · Computer Science 2023-02-01 Georgios Amanatidis , Georgios Birmpas , Philip Lazos , Stefano Leonardi , Rebecca Reiffenhäuser

Incorporating fairness constructs into machine learning algorithms is a topic of much societal importance and recent interest. Clustering, a fundamental task in unsupervised learning that manifests across a number of web data scenarios, has…

Computers and Society · Computer Science 2020-10-15 Deepak P , Savitha Sam Abraham

We study non-monetary mechanisms for the fair and efficient allocation of reusable public resources, i.e., resources used for varying durations. We consider settings where a limited resource is repeatedly shared among a set of agents, each…

Computer Science and Game Theory · Computer Science 2023-10-17 Siddhartha Banerjee , Giannis Fikioris , Éva Tardos

We study the problem of allocating indivisible goods among strategic agents. We focus on settings wherein monetary transfers are not available and each agent's private valuation is a submodular function with binary marginals, i.e., the…

Computer Science and Game Theory · Computer Science 2021-09-14 Siddharth Barman , Paritosh Verma

In this paper, we consider the problem of fair division of indivisible goods when the allocation of goods impacts society. Specifically, we introduce a second valuation function for each agent, determining the social impact of allocating a…

Computer Science and Game Theory · Computer Science 2024-12-20 Michele Flammini , Gianluigi Greco , Giovanna Varricchio

We study Fisher markets that admit equilibria wherein each good is integrally assigned to some agent. While strong existence and computational guarantees are known for equilibria of Fisher markets with additive valuations, such equilibria,…

Computer Science and Game Theory · Computer Science 2018-11-22 Siddharth Barman , Sanath Kumar Krishnamurthy

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

Max-min fairness (MMF) is a widely known approach to a fair allocation of bandwidth to each of the users in a network. This allocation can be computed by uniformly raising the bandwidths of all users without violating capacity constraints.…

Networking and Internet Architecture · Computer Science 2014-01-15 Tobias Harks , Martin Hoefer , Kevin Schewior , Alexander Skopalik

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

We study the fair division of indivisible items. In the general model, the goal is to allocate $m$ indivisible items to $n$ agents while satisfying fairness criteria such as MMS, EF1, and EFX. We also study a recently-introduced graphical…

Computer Science and Game Theory · Computer Science 2025-10-15 Kevin Hsu

In recent years many important societal decisions are made by machine-learning algorithms, and many such important decisions have strict capacity limits, allowing resources to be allocated only to the highest utility individuals. For…

Computers and Society · Computer Science 2026-02-27 Eitan Bachmat , Inbal Livni Navon

We study the fair division problem and the existence of allocations satisfying the fairness criterion envy-freeness up to any item (EFX). The existence of EFX allocations is a major open problem in the fair division literature. We consider…

Computational Engineering, Finance, and Science · Computer Science 2023-08-11 Xiaolin Bu , Jiaxin Song , Ziqi Yu