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We study the problem of fairly allocating indivisible goods between groups of agents using the recently introduced relaxations of envy-freeness. We consider the existence of fair allocations under different assumptions on the valuations of…

Computer Science and Game Theory · Computer Science 2020-09-17 Maria Kyropoulou , Warut Suksompong , Alexandros A. Voudouris

We introduce and study the problem of designing optimal contracts under fairness constraints on the task assignments and compensations. We adopt the notion of envy-free (EF) and its relaxations, $\epsilon$-EF and envy-free up to one item…

Computer Science and Game Theory · Computer Science 2025-07-23 Matteo Castiglioni , Junjie Chen , Yingkai Li

Envy-freeness up to any good (EFX) is a central fairness notion for allocating indivisible goods, yet its existence is unresolved in general. In the setting with few surplus items, where the number of goods exceeds the number of agents by a…

Computer Science and Game Theory · Computer Science 2026-01-21 Eugene Lim , Tzeh Yuan Neoh , Nicholas Teh

We study the computational complexity of fairly allocating a set of indivisible items under externalities. In this recently-proposed setting, in addition to the utility the agent gets from their bundle, they also receive utility from items…

Computer Science and Game Theory · Computer Science 2024-04-16 Argyrios Deligkas , Eduard Eiben , Viktoriia Korchemna , Šimon Schierreich

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

In this paper we initiate the study of finding fair and efficient allocations of an indivisible mixed manna: Divide m indivisible items among n agents under the fairness notion of maximin share (MMS) and the efficiency notion of Pareto…

Computer Science and Game Theory · Computer Science 2021-04-07 Rucha Kulkarni , Ruta Mehta , Setareh Taki

The problem of fairly allocating a set of indivisible items is a well-known challenge in the field of (computational) social choice. In this scenario, there is a fundamental incompatibility between notions of fairness (such as envy-freeness…

Computer Science and Game Theory · Computer Science 2023-12-21 Ayumi Igarashi , Martin Lackner , Oliviero Nardi , Arianna Novaro

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

A number of goods are called identical if they provide the same level of utility to each agent. In various real-world instances of fair division scenarios, identical indivisible items are allocated to consumers and demandants with different…

Optimization and Control · Mathematics 2026-05-28 Manouchehr Zaker

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 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 study the problem of computing maximin share guarantees, a recently introduced fairness notion. Given a set of $n$ agents and a set of goods, the maximin share of a single agent is the best that she can guarantee to herself, if she would…

Computer Science and Game Theory · Computer Science 2018-06-12 Georgios Amanatidis , Evangelos Markakis , Afshin Nikzad , Amin Saberi

In this paper, we study how to fairly allocate a set of m indivisible chores to a group of n agents, each of which has a general additive cost function on the items. Since envy-free (EF) allocations are not guaranteed to exist, we consider…

Computer Science and Game Theory · Computer Science 2023-11-01 Shengwei Zhou , Xiaowei Wu

We study the problem of allocating a set of indivisible items among agents whose preferences include externalities. Unlike the standard fair division model, agents may derive positive or negative utility not only from items allocated…

Computer Science and Game Theory · Computer Science 2026-01-21 Frank Connor , Max Dupré la Tour , Vishnu V. Narayan , Šimon Schierreich

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

We study the fair allocation of indivisible goods under cardinality constraints, where each agent must receive a bundle of fixed size. This models practical scenarios, such as assigning shifts or forming equally sized teams. Recently,…

Computer Science and Game Theory · Computer Science 2025-07-29 Alviona Mancho , Evangelos Markakis , Nicos Protopapas

We study the fair allocation of indivisible goods among a group of agents, aiming to limit the envy between any two agents. The central open problem in this literature, which has proven to be extremely challenging, is regarding the…

Computer Science and Game Theory · Computer Science 2025-04-22 Arash Ashuri , Vasilis Gkatzelis , Alkmini Sgouritsa

Equitable allocation of indivisible items involves partitioning the items among agents such that everyone derives (almost) equal utility. We consider the approximate notion of \textit{equitability up to one item} (EQ1) and focus on the…

Computer Science and Game Theory · Computer Science 2025-08-22 Hadi Hosseini , Aditi Sethia

We study the question of dividing a collection of indivisible goods amongst a set of agents. The main objective of research in the area is to achieve one of two goals: fairness or efficiency. On the fairness side, envy-freeness is the…

Computer Science and Game Theory · Computer Science 2021-06-03 Vishnu V. Narayan , Mashbat Suzuki , Adrian Vetta

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