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We study the problem of fairly and efficiently allocating indivisible chores among agents with additive disutility functions. We consider the widely-used envy-based fairness properties of EF1 and EFX, in conjunction with the efficiency…

计算机科学与博弈论 · 计算机科学 2023-10-17 Jugal Garg , Aniket Murhekar , John Qin

A principal has $m$ identical objects to allocate among a group of $n$ agents. Objects are desirable and the principal's value of assigning an object to an agent is the agent's private information. The principal can verify up to $k$ agents,…

理论经济学 · 经济学 2024-09-04 Albin Erlanson , Andreas Kleiner

We study the fair allocation of undesirable indivisible items, or chores. While the case of desirable indivisible items (or goods) is extensively studied, with many results known for different notions of fairness, less is known about the…

计算机科学与博弈论 · 计算机科学 2022-08-30 Umang Bhaskar , A. R. Sricharan , Rohit Vaish

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…

计算机科学与博弈论 · 计算机科学 2025-11-13 Argyris Deligkas , Eduard Eiben , Tiger-Lily Goldsmith , Dušan Knop , Šimon Schierreich

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…

计算机科学与博弈论 · 计算机科学 2026-01-21 Frank Connor , Max Dupré la Tour , Vishnu V. Narayan , Šimon Schierreich

We study a sequential decision-making model where a set of items is repeatedly matched to the same set of agents over multiple rounds. The objective is to determine a sequence of matchings that either maximizes the utility of the least…

计算机科学与博弈论 · 计算机科学 2025-10-07 Eugene Lim , Tzeh Yuan Neoh , Nicholas Teh

We study allocation problems without monetary transfers where agents have correlated types, i.e., hold private information about one another. Such peer information is relevant in various settings, including science funding, allocation of…

理论经济学 · 经济学 2025-03-21 Axel Niemeyer , Justus Preusser

In this paper we study the problem of allocating a scarce resource among several players (or agents). A central decision maker wants to maximize the total utility of all agents. However, such a solution may be unfair for one or more agents…

计算机科学与博弈论 · 计算机科学 2016-11-21 Gaia Nicosia , Andrea Pacifici , Ulrich Pferschy

One of the important yet insufficiently studied subjects in fair allocation is the externality effect among agents. For a resource allocation problem, externalities imply that a bundle allocated to an agent may affect the utilities of other…

计算机科学与博弈论 · 计算机科学 2018-05-17 Mohammad Ghodsi , Hamed Saleh , Masoud Seddighin

We study a resource allocation setting where $m$ discrete items are to be divided among $n$ agents with additive utilities, and the agents' utilities for individual items are drawn at random from a probability distribution. Since common…

计算机科学与博弈论 · 计算机科学 2023-03-20 Pasin Manurangsi , Warut Suksompong

The leximin solution -- which selects an allocation that maximizes the minimum utility, then the second minimum utility, and so forth -- is known to provide EFX (envy-free up to any good) fairness guarantee in some contexts when allocating…

计算机科学与博弈论 · 计算机科学 2020-05-12 Xingyu Chen , Zijie Liu

We study the problem in which a central planner sequentially allocates a single resource to multiple strategic agents using their utility reports at each round, but without using any monetary transfers. We consider general agent utility…

计算机科学与博弈论 · 计算机科学 2024-08-20 Moise Blanchard , Patrick Jaillet

A new class of multi agent single machine scheduling problems is introduced, where each job is associated with a self interested agent with a utility function decreasing in completion time. We aim to achieve a fair solution by maximizing…

计算机科学与博弈论 · 计算机科学 2026-04-01 Gaia Nicosia , Andrea Pacifici , Ulrich Pferschy

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'…

计算机科学与博弈论 · 计算机科学 2012-09-18 Gianluigi Greco , Francesco Scarcello

We consider fair allocation of indivisible items under an additional constraint: there is an undirected graph describing the relationship between the items, and each agent's share must form a connected subgraph of this graph. This framework…

计算机科学与博弈论 · 计算机科学 2017-06-07 Sylvain Bouveret , Katarína Cechlárová , Edith Elkind , Ayumi Igarashi , Dominik Peters

In this paper we study a resource allocation problem that encodes correlation between items in terms of \conflict and maximizes the minimum utility of the agents under a conflict free allocation. Admittedly, the problem is computationally…

数据结构与算法 · 计算机科学 2023-09-12 Sushmita Gupta , Pallavi Jain , Saket Saurabh

We study the max-min fair allocation problem in which a set of $m$ indivisible items are to be distributed among $n$ agents such that the minimum utility among all agents is maximized. In the restricted setting, the utility of each item $j$…

离散数学 · 计算机科学 2016-11-28 T-H. Hubert Chan , Zhihao Gavin Tang , Xiaowei Wu

We consider the fair allocation of indivisible items to several agents and add a graph theoretical perspective to this classical problem. Namely, we introduce an incompatibility relation between pairs of items described in terms of a…

离散数学 · 计算机科学 2022-11-29 Nina Chiarelli , Matjaž Krnc , Martin Milanič , Ulrich Pferschy , Nevena Pivač , Joachim Schauer

We study the classical problem of matching $n$ agents to $n$ objects, where the agents have ranked preferences over the objects. We focus on two popular desiderata from the matching literature: Pareto optimality and rank-maximality. Instead…

计算机科学与博弈论 · 计算机科学 2021-04-15 Hadi Hosseini , Vijay Menon , Nisarg Shah , Sujoy Sikdar

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…

计算机科学与博弈论 · 计算机科学 2021-03-18 Haris Aziz , Ioannis Caragiannis , Ayumi Igarashi , Toby Walsh