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Fair division considers the allocation of scarce resources among agents in such a way that every agent gets a fair share. It is a fundamental problem in society and has received significant attention and rapid developments from the game…

Computer Science and Game Theory · Computer Science 2024-08-13 Shengxin Liu , Xinhang Lu , Mashbat Suzuki , Toby Walsh

We study fair allocation of indivisible items, where the items are furnished with a set of conflicts, and agents are not permitted to receive conflicting items. This kind of constraint captures, for example, participating in events that…

Computer Science and Game Theory · Computer Science 2022-02-01 Halvard Hummel , Magnus Lie Hetland

The fair division of indivisible goods is not only a subject of theoretical research, but also an important problem in practice, with solutions being offered on several online platforms. Little is known, however, about the characteristics…

Computer Science and Game Theory · Computer Science 2025-05-07 Paula Böhm , Robert Bredereck , Paul Gölz , Andrzej Kaczmarczyk , Stanisław Szufa

Although resource allocation is a well studied problem in computer science, until the prevalence of distributed systems, such as computing clouds and data centres, the question had been addressed predominantly for single resource type…

Computer Science and Game Theory · Computer Science 2025-12-29 Serdar Metin

We consider the problem of fair allocation of indivisible items to agents that have arbitrary entitlements to the items. Every agent $i$ has a valuation function $v_i$ and an entitlement $b_i$, where entitlements sum up to~1. Which…

Computer Science and Game Theory · Computer Science 2024-05-24 Moshe Babaioff , Uriel Feige

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

The maximin share ($\textsf{MMS}$) is the most prominent share-based fairness notion in the fair allocation of indivisible goods. Recent years have seen significant efforts to improve the approximation guarantees for $\textsf{MMS}$ for…

Computer Science and Game Theory · Computer Science 2025-10-14 Ehsan Heidari , Alireza Kaviani , Masoud Seddighin , AmirMohammad Shahrezaei

We study the probabilistic assignment of items to platforms that satisfies both group and individual fairness constraints. Each item belongs to specific groups and has a preference ordering over platforms. Each platform enforces group…

Artificial Intelligence · Computer Science 2024-05-13 Atasi Panda , Anand Louis , Prajakta Nimbhorkar

We study a novel problem of fairness in ranking aimed at minimizing the amount of individual unfairness introduced when enforcing group-fairness constraints. Our proposal is rooted in the distributional maxmin fairness theory, which uses…

Machine Learning · Computer Science 2021-06-18 David Garcia-Soriano , Francesco Bonchi

Matching algorithms are used routinely to match donors to recipients for solid organs transplantation, for the assignment of medical residents to hospitals, record linkage in databases, scheduling jobs on machines, network switching, online…

Data Structures and Algorithms · Computer Science 2020-01-09 David García-Soriano , Francesco Bonchi

A collection of objects, some of which are good and some are bad, is to be divided fairly among agents with different tastes, modeled by additive utility functions. If the objects cannot be shared, so that each of them must be entirely…

Computer Science and Game Theory · Computer Science 2022-11-10 Fedor Sandomirskiy , Erel Segal-Halevi

We study the problem of (approximate) maximin share (MMS) allocation of indivisible items among a set of agents. We focus on the graphical valuation model, previously studied by Christodolou, Fiat, Koutsoupias, and Sgouritsa ("Fair…

Computer Science and Game Theory · Computer Science 2026-05-08 George Christodoulou , Symeon Mastrakoulis

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

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

We consider fair allocation of a set $M$ of indivisible goods to $n$ equally-entitled agents, with no monetary transfers. Every agent $i$ has a valuation $v_i$ from some given class of valuation functions. A share $s$ is a function that…

Theoretical Economics · Economics 2022-05-17 Moshe Babaioff , Uriel Feige

I survey recent progress on a classic and challenging problem in social choice: the fair division of indivisible items. I discuss how a computational perspective has provided interesting insights into and understanding of how to divide…

Artificial Intelligence · Computer Science 2020-05-12 Toby Walsh

Fairness and privacy are two important concerns in social decision-making processes such as resource allocation. We study privacy in the fair allocation of indivisible resources using the well-established framework of differential privacy.…

Computer Science and Game Theory · Computer Science 2025-06-17 Pasin Manurangsi , Warut Suksompong

We study the budget aggregation problem in which a set of strategic voters must split a finite divisible resource (such as money or time) among a set of competing projects. Our goal is twofold: We seek truthful mechanisms that provide…

Computer Science and Game Theory · Computer Science 2024-03-26 Rupert Freeman , Ulrike Schmidt-Kraepelin

We study fair and economically efficient allocation of indivisible goods among agents whose valuations are rank functions of matroids. Such valuations constitute a well-studied class of submodular functions (i.e., they exhibit a diminishing…

Computer Science and Game Theory · Computer Science 2021-02-05 Siddharth Barman , Paritosh Verma

In this paper, we consider the classic fair division problem of allocating $m$ divisible items to $n$ agents with linear valuations over the items. We define novel notions of fair shares from the perspective of individual agents via the…

Computer Science and Game Theory · Computer Science 2024-11-18 Yannan Bai , Kamesh Munagala , Yiheng Shen , Ian Zhang