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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

We analyze the run-time complexity of computing allocations that are both fair and maximize the utilitarian social welfare, defined as the sum of agents' utilities. We focus on two tractable fairness concepts: envy-freeness up to one item…

Computer Science and Game Theory · Computer Science 2024-09-23 Haris Aziz , Xin Huang , Nicholas Mattei , Erel Segal-Halevi

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

Mechanism design is addressed in the context of fair allocations of indivisible goods with monetary compensation. Motivated by a real-world social choice problem, mechanisms with verification are considered in a setting where (i) agents'…

Computer Science and Game Theory · Computer Science 2012-09-18 Gianluigi Greco , Francesco Scarcello

We study fair division of indivisible mixed manna (items whose values may be positive, negative, or zero) among agents with additive valuations. Here, we establish that fairness -- in terms of a relaxation of envy-freeness -- and Pareto…

Computer Science and Game Theory · Computer Science 2025-10-16 Siddharth Barman , Vishwa Prakash HV , Aditi Sethia , Mashbat Suzuki

We study the house allocation problem in a setting where agents are connected by a graph representing friendships. In this model, two agents can only envy each other if they are neighbors (i.e., friends) in the graph. Each agent has a set…

Data Structures and Algorithms · Computer Science 2026-02-10 Anubhav Dhar , Ashlesha Hota , Palash Dey , Sudeshna Kolay

We study the problem of fairly allocating indivisible items and a desirable heterogeneous divisible good (i.e., cake) to agents with additive utilities. In our paper, each indivisible item can be a good that yields non-negative utilities to…

Computer Science and Game Theory · Computer Science 2025-11-10 Haris Aziz , Xinhang Lu , Simon Mackenzie , Mashbat Suzuki

We study the problem of Envy-Free Incomplete Connected Fair Division, where exactly p vertices of an undirected graph must be allocated to agents such that each agent receives a connected share and does not envy another agent's share.…

Data Structures and Algorithms · Computer Science 2025-12-30 Ajaykrishnan E S , Daniel Lokshtanov

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 is the problem of allocating a set of items among agents in a fair manner. One of the most sought-after fairness notions is envy-freeness (EF), requiring that no agent envies another's allocation. When items are indivisible,…

Computer Science and Game Theory · Computer Science 2024-07-25 Jinghan A Zeng , Ruta Mehta

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

In this paper we formulate the fixed budget resource allocation game to understand the performance of a distributed market-based resource allocation system. Multiple users decide how to distribute their budget (bids) among multiple machines…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Michal Feldman , Kevin Lai , Li Zhang

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

We investigate the tradeoffs between fairness and efficiency when allocating indivisible items over time. Suppose T items arrive over time and must be allocated upon arrival, immediately and irrevocably, to one of n agents. Agent i assigns…

Computer Science and Game Theory · Computer Science 2020-05-18 David Zeng , Alexandros Psomas

In recent years, federated learning has been embraced as an approach for bringing about collaboration across large populations of learning agents. However, little is known about how collaboration protocols should take agents' incentives…

Machine Learning · Computer Science 2021-03-05 Avrim Blum , Nika Haghtalab , Richard Lanas Phillips , Han Shao

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 a mechanism-design problem in which spiteful agents strive to not only maximize their rewards but also, contingent upon their own payoff levels, seek to lower the opponents' rewards. We characterize all individually rational (IR)…

Computer Science and Game Theory · Computer Science 2025-12-02 Aditya Aradhye , David Lagziel , Eilon Solan

We study the problem of finding fair and efficient allocations of a set of indivisible items to a set of agents, where each item may be a good (positively valued) for some agents and a bad (negatively valued) for others, i.e., a mixed…

Computer Science and Game Theory · Computer Science 2022-02-08 Vasilis Livanos , Ruta Mehta , Aniket Murhekar

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 egalitarian welfare aspects of random assignment mechanisms when agents have unrestricted cardinal utilities over the objects. We give bounds on how well different random assignment mechanisms approximate the optimal…

Computer Science and Game Theory · Computer Science 2015-07-27 Haris Aziz , Jiashu Chen , Aris Filos-Ratsikas , Simon Mackenzie , Nicholas Mattei