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We introduce a problem of fairly allocating indivisible goods (items) in which the agents' valuations cannot be observed directly, but instead can only be accessed via noisy queries. In the two-agent setting with Gaussian noise and bounded…

Computer Science and Game Theory · Computer Science 2026-05-29 Zihan Li , Yan Hao Ling , Jonathan Scarlett , Warut Suksompong

Neural networks have shown state-of-the-art performance in designing auctions, where the network learns the optimal allocations and payment rule to ensure desirable properties. Motivated by the same, we focus on learning fair division of…

Computer Science and Game Theory · Computer Science 2021-12-13 Shaily Mishra , Manisha Padala , Sujit Gujar

We consider the problem of fair allocation of indivisible chores under additive valuations. We assume that the chores are divided into two types and under this scenario, we present several results. Our first result is a new characterization…

Computer Science and Game Theory · Computer Science 2023-05-25 Haris Aziz , Jeremy Lindsay , Angus Ritossa , Mashbat Suzuki

We study the fair allocation of indivisible items to $n$ agents to maximize the utilitarian social welfare, where the fairness criterion is envy-free up to one item and there are only two different utility functions shared by the agents. We…

Computer Science and Game Theory · Computer Science 2025-09-12 Jiaxuan Ma , Yong Chen , Guangting Chen , Mingyang Gong , Guohui Lin , An Zhang

Allocating indivisible goods is a ubiquitous task in fair division. We study additive welfarist rules, an important class of rules which choose an allocation that maximizes the sum of some function of the agents' utilities. Prior work has…

Computer Science and Game Theory · Computer Science 2026-03-04 Karen Frilya Celine , Warut Suksompong , Sheung Man Yuen

We study several fairness notions in allocating indivisible chores (i.e., items with non-positive values) to agents who have additive and submodular cost functions. The fairness criteria we are concern with are envy-free up to any item…

Computer Science and Game Theory · Computer Science 2021-09-29 Ankang Sun , Bo Chen , Xuan Vinh Doan

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

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

When allocating indivisible resources or tasks, an envy-free allocation or equitable allocation may not exist. We present a sufficient condition and an algorithm to achieve envy-freeness and equitability when monetary transfers are allowed.…

Computer Science and Game Theory · Computer Science 2020-03-19 Haris Aziz

Allocating resources to individuals in a fair manner has been a topic of interest since the ancient times, with most of the early rigorous mathematical work on the problem focusing on infinitely divisible resources. Recently, there has been…

Computer Science and Game Theory · Computer Science 2022-03-07 Georgios Amanatidis , Georgios Birmpas , Aris Filos-Ratsikas , Alexandros A. Voudouris

We study the problem of fair and efficient allocation of a set of indivisible chores to agents with additive cost functions. We consider the popular fairness notion of envy-freeness up to one good (EF1) with the efficiency notion of…

Computer Science and Game Theory · Computer Science 2021-10-20 Jugal Garg , Aniket Murhekar , John Qin

We study fair division of indivisible chores among $n$ agents with additive disutility functions. Two well-studied fairness notions for indivisible items are envy-freeness up to one/any item (EF1/EFX) and the standard notion of economic…

Computer Science and Game Theory · Computer Science 2023-05-23 Hannaneh Akrami , Bhaskar Ray Chaudhury , Jugal Garg , Kurt Mehlhorn , Ruta Mehta

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

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 fairness in the allocation of discrete goods. Exactly fair (envy-free) allocations are impossible, so we discuss notions of approximate fairness. In particular, we focus on allocations in which the swap of two items serves to…

Theoretical Economics · Economics 2025-08-14 Federico Echenique , Sumit Goel , SangMok Lee

We study the problem of distributing a set of indivisible items among agents with additive valuations in a $\mathit{fair}$ manner. The fairness notion under consideration is Envy-freeness up to any item (EFX). Despite significant efforts by…

Computer Science and Game Theory · Computer Science 2020-06-02 Bhaskar Ray Chaudhury , Jugal Garg , Kurt Mehlhorn

In fair division of indivisible goods, using sequences of sincere choices (or picking sequences) is a natural way to allocate the objects. The idea is the following: at each stage, a designated agent picks one object among those that…

Computer Science and Game Theory · Computer Science 2016-04-07 Sylvain Bouveret , Michel Lemaître

We revisit the setting of fairly allocating indivisible items when agents have different weights representing their entitlements. First, we propose a parameterized family of relaxations for weighted envy-freeness and the same for weighted…

Computer Science and Game Theory · Computer Science 2024-09-10 Mithun Chakraborty , Erel Segal-Halevi , Warut Suksompong

Several fairness concepts have been proposed recently in attempts to approximate envy-freeness in settings with indivisible goods. Among them, the concept of envy-freeness up to any item (EFX) is arguably the closest to envy-freeness.…

Computer Science and Game Theory · Computer Science 2019-02-13 Ioannis Caragiannis , Nick Gravin , Xin Huang

Fair division of indivisible goods is a central challenge in artificial intelligence. For many prominent fairness criteria including envy-freeness (EF) or proportionality (PROP), no allocations satisfying these criteria might exist. Two…

Computer Science and Game Theory · Computer Science 2022-09-09 Martin Hoefer , Marco Schmalhofer , Giovanna Varricchio