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The allocation of resources among multiple agents is a fundamental problem in both economics and computer science. In these settings, fairness plays a crucial role in ensuring social acceptability and practical implementation of resource…

Computer Science and Game Theory · Computer Science 2025-06-11 Hadi Hosseini , Joshua Kavner , Samarth Khanna , Sujoy Sikdar , Lirong Xia

We study a fair allocation problem of indivisible items under additive externalities in which each agent also receives values from items that are assigned to other agents. We propose several new fairness concepts. We extend the well-studied…

Computer Science and Game Theory · Computer Science 2022-12-01 Haris Aziz , Warut Suksompong , Zhaohong Sun , Toby Walsh

Fair resource allocation is an important problem in many real-world scenarios, where resources such as goods and chores must be allocated among agents. In this survey, we delve into the intricacies of fair allocation, focusing specifically…

Computer Science and Game Theory · Computer Science 2023-07-24 Shaily Mishra , Manisha Padala , Sujit Gujar

We consider the discrete assignment problem in which agents express ordinal preferences over objects and these objects are allocated to the agents in a fair manner. We use the stochastic dominance relation between fractional or randomized…

Computer Science and Game Theory · Computer Science 2015-06-18 Haris Aziz , Serge Gaspers , Simon Mackenzie , Toby Walsh

What is the best way to define algorithmic fairness? While many definitions of fairness have been proposed in the computer science literature, there is no clear agreement over a particular definition. In this work, we investigate ordinary…

Artificial Intelligence · Computer Science 2019-01-29 Nripsuta Saxena , Karen Huang , Evan DeFilippis , Goran Radanovic , David Parkes , Yang Liu

We study the fair allocation of indivisible items under relevance constraints, where each agent has a set of relevant items and can only receive items that are relevant to them. While the relevance constraint has been studied in recent…

Computer Science and Game Theory · Computer Science 2026-03-19 Ankang Sun , Ruijie Wang , Bo Li

A set of objects is to be divided fairly among agents with different tastes, modeled by additive utility-functions. If we consider the objects as indivisible, many instances of the decision problem: ``Is there a fair division of the objects…

Computer Science and Game Theory · Computer Science 2025-07-03 Samuel Bismuth , Ivan Bliznets , Erel Segal-Halevi

We consider the age-old problem of allocating items among different agents in a way that is efficient and fair. Two papers, by Dolev et al. and Ghodsi et al., have recently studied this problem in the context of computer systems. Both…

Computer Science and Game Theory · Computer Science 2012-04-20 Avital Gutman , Noam Nisan

Fairness for Machine Learning has received considerable attention, recently. Various mathematical formulations of fairness have been proposed, and it has been shown that it is impossible to satisfy all of them simultaneously. The literature…

Computers and Society · Computer Science 2019-12-10 Megha Srivastava , Hoda Heidari , Andreas Krause

Several different fairness notions have been introduced in the context of fair allocation of goods. In this manuscript, we compare between some fairness notions that are used in settings in which agents have arbitrary (perhaps unequal)…

Computer Science and Game Theory · Computer Science 2023-12-01 Uriel Feige

Fairness emerged as an important requirement to guarantee that Machine Learning (ML) predictive systems do not discriminate against specific individuals or entire sub-populations, in particular, minorities. Given the inherent subjectivity…

Machine Learning · Computer Science 2022-06-08 Karima Makhlouf , Sami Zhioua , Catuscia Palamidessi

Fair allocation has been studied intensively in both economics and computer science, and fair sharing of resources has aroused renewed interest with the advent of virtualization and cloud computing. Prior work has typically focused on…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-06-15 Danny Dolev , Dror G. Feitelson , Joseph Y. Halpern , Raz Kupferman , Nati Linial

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…

Computer Science and Game Theory · Computer Science 2025-11-13 Argyris Deligkas , Eduard Eiben , Tiger-Lily Goldsmith , Dušan Knop , Šimon Schierreich

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 investigate the efficiency of fair allocations of indivisible goods using the well-studied price of fairness concept. Previous work has focused on classical fairness notions such as envy-freeness, proportionality, and equitability.…

Computer Science and Game Theory · Computer Science 2021-09-08 Xiaohui Bei , Xinhang Lu , Pasin Manurangsi , Warut Suksompong

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 consider the problem of fairly dividing a set of items. Much of the fair division literature assumes that the items are `goods' i.e., they yield positive utility for the agents. There is also some work where the items are `chores' that…

Computer Science and Game Theory · Computer Science 2021-03-18 Haris Aziz , Ioannis Caragiannis , Ayumi Igarashi , Toby Walsh

We study the problem of fair division when the resources contain both divisible and indivisible goods. Classic fairness notions such as envy-freeness (EF) and envy-freeness up to one good (EF1) cannot be directly applied to the mixed goods…

Computer Science and Game Theory · Computer Science 2021-01-28 Xiaohui Bei , Zihao Li , Jinyan Liu , Shengxin Liu , Xinhang Lu

Fair division is the problem of dividing one or several goods amongst two or more agents in a way that satisfies a suitable fairness criterion. These Notes provide a succinct introduction to the field. We cover three main topics. First, we…

Artificial Intelligence · Computer Science 2018-06-13 Ulle Endriss

Motivated by scenarios where data is used for diverse prediction tasks, we study whether fair representation can be used to guarantee fairness for unknown tasks and for multiple fairness notions simultaneously. We consider seven group…

Machine Learning · Computer Science 2022-02-22 Xudong Shen , Yongkang Wong , Mohan Kankanhalli
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