English
Related papers

Related papers: Fair and Efficient Balanced Allocation for Indivis…

200 papers

We consider item allocation to individual agents who have additive valuations, in settings in which there are protected groups, and the allocation needs to give each protected group its "fair" share of the total welfare. Informally, within…

Computer Science and Game Theory · Computer Science 2022-04-15 Uriel Feige , Yehonatan Tahan

We study a fair division setting in which participants are to be fairly distributed among teams, where not only do the teams have preferences over the participants as in the canonical fair division setting, but the participants also have…

Computer Science and Game Theory · Computer Science 2024-08-27 Ayumi Igarashi , Yasushi Kawase , Warut Suksompong , Hanna Sumita

In many applications such as rationing medical care and supplies, university admissions, and the assignment of public housing, the decision of who receives an allocation can be justified by various normative criteria. Such settings have…

Computer Science and Game Theory · Computer Science 2023-05-30 Siddhartha Banerjee , Matthew Eichhorn , David Kempe

We consider the problem of allocating indivisible goods fairly among n agents who have additive and submodular valuations for the goods. Our fairness guarantees are in terms of the maximin share, that is defined to be the maximum value that…

Computer Science and Game Theory · Computer Science 2020-04-07 Siddharth Barman , Sanath Kumar Krishnamurthy

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 allocating homogeneous and indivisible objects among agents with money. In particular, we investigate the relationship between egalitarian-equivalence (Pazner and Schmeidler, 1978), as a fairness concept, and…

Theoretical Economics · Economics 2025-07-15 Hinata Kurashita , Ryosuke Sakai

Many allocation problems in multiagent systems rely on agents specifying cardinal preferences. However, allocation mechanisms can be sensitive to small perturbations in cardinal preferences, thus causing agents who make ``small" or…

Computer Science and Game Theory · Computer Science 2021-07-13 Vijay Menon , Kate Larson

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 resources to individuals in a fair manner has been a topic of interest since ancient times, with most of the early mathematical work on the problem focusing on resources that are infinitely divisible. Over the last decade, there…

Computer Science and Game Theory · Computer Science 2023-06-22 Georgios Amanatidis , Haris Aziz , Georgios Birmpas , Aris Filos-Ratsikas , Bo Li , Hervé Moulin , Alexandros A. Voudouris , Xiaowei Wu

We study the classical rent division problem, where $n$ agents must allocate $n$ indivisible rooms and split a fixed total rent $R$. The goal is to compute an envy-free (EF) allocation, where no agent prefers another agent's room and rent…

Computer Science and Game Theory · Computer Science 2025-10-08 Rohith Reddy Gangam , Shayan Taherijam , Vijay V. Vazirani

We study the problem of finding an envy-free allocation of indivisible goods among agents with additive valuations. We focus on the fairness notion of envy-freeness up to any good (EFX). A central open question in fair division is whether…

Computer Science and Game Theory · Computer Science 2025-05-26 Vishwa Prakash HV , Pratik Ghosal , Prajakta Nimbhorkar , Nithin Varma

We study a discrete fair division problem where $n$ agents have additive valuation functions over a set of $m$ goods. We focus on the well-known $\alpha$-EFX fairness criterion, according to which the envy of an agent for another agent is…

Computer Science and Game Theory · Computer Science 2026-02-10 Aris Filos-Ratsikas , Georgios Kalantzis , Alexandros A. Voudouris

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

We consider the problem of sharing a set of indivisible goods among agents in a fair manner, namely such that the allocation is envy-free up to any good (EFX). We focus on the problem of computing an EFX allocation in the two-agent case and…

Computer Science and Game Theory · Computer Science 2023-07-18 Paul W. Goldberg , Kasper Høgh , Alexandros Hollender

We initiate the study of computing envy-free allocations of indivisible items in the extension setting, i.e., when some part of the allocation is fixed and the task is to allocate the remaining items. Given the known NP-hardness of the…

Computer Science and Game Theory · Computer Science 2025-03-04 Argyrios Deligkas , Eduard Eiben , Robert Ganian , Tiger-Lily Goldsmith , Stavros D. Ioannidis

Envy-Freeness is one of the most fundamental and important concepts in fair allocation. Some recent studies have focused on the concept of weighted envy-freeness. Under this concept, each agent is assigned a weight, and their valuations are…

Computer Science and Game Theory · Computer Science 2025-05-09 Yuxi Liu , Mingyu Xiao

We study the fair allocation of indivisible items for groups of agents from the perspectives of the agents and a centralized allocator. In our setting, the centralized allocator is interested in ensuring the allocation is fair among the…

Computer Science and Game Theory · Computer Science 2025-11-12 Ying Wang , Jiaqian Li , Tianze Wei , Hau Chan , Minming Li

We study the problem of allocating indivisible goods among n agents in a fair manner. For this problem, maximin share (MMS) is a well-studied solution concept which provides a fairness threshold. Specifically, maximin share is defined as…

Computer Science and Game Theory · Computer Science 2017-11-22 Siddharth Barman , Arpita Biswas , Sanath Kumar Krishnamurthy , Y. Narahari

We study the problem of determining an envy-free allocation of indivisible goods among multiple agents with additive valuations. EFX, which stands for envy-freeness up to any good, is a well-studied relaxation of the envy-free allocation…

Computer Science and Game Theory · Computer Science 2025-01-03 Pratik Ghosal , Vishwa Prakash HV , Prajakta Nimbhorkar , Nithin Varma

We study the fair allocation of mixtures of indivisible goods and chores under lexicographic preferences$\unicode{x2014}$a subdomain of additive preferences. A prominent fairness notion for allocating indivisible items is envy-freeness up…

Computer Science and Game Theory · Computer Science 2023-05-08 Hadi Hosseini , Aghaheybat Mammadov , Tomasz Wąs
‹ Prev 1 8 9 10 Next ›