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相关论文: Fairness Criteria for Allocating Indivisible Chore…

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We study the problem of allocating a set of indivisible chores to three agents, among whom two have additive cost functions, in a fair manner. Two fairness notions under consideration are envy-freeness up to any chore (EFX) and a relaxed…

计算机科学与博弈论 · 计算机科学 2022-11-30 Lang Yin , Ruta Mehta

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…

计算机科学与博弈论 · 计算机科学 2023-05-23 Hannaneh Akrami , Bhaskar Ray Chaudhury , Jugal Garg , Kurt Mehlhorn , Ruta Mehta

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

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…

计算机科学与博弈论 · 计算机科学 2023-05-08 Hadi Hosseini , Aghaheybat Mammadov , Tomasz Wąs

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…

计算机科学与博弈论 · 计算机科学 2023-05-25 Haris Aziz , Jeremy Lindsay , Angus Ritossa , Mashbat Suzuki

We explore the fair distribution of a set of $m$ indivisible chores among $n$ agents, where each agent's costs are evaluated using a monotone cost function. Our focus lies on two fairness criteria: envy-freeness up to any item (EFX) and a…

计算机科学与博弈论 · 计算机科学 2024-10-25 Mahyar Afshinmehr , Matin Ansaripour , Alireza Danaei , Kurt Mehlhorn

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…

计算机科学与博弈论 · 计算机科学 2021-10-20 Jugal Garg , Aniket Murhekar , John Qin

We study fair allocation of indivisible goods and chores among agents with \emph{lexicographic} preferences -- a subclass of additive valuations. In sharp contrast to the goods-only setting, we show that an allocation satisfying…

计算机科学与博弈论 · 计算机科学 2022-03-15 Hadi Hosseini , Sujoy Sikdar , Rohit Vaish , Lirong Xia

Fair division of indivisible goods is a very well-studied problem. The goal of this problem is to distribute $m$ goods to $n$ agents in a "fair" manner, where every agent has a valuation for each subset of goods. We assume general…

计算机科学与博弈论 · 计算机科学 2020-02-25 Bhaskar Ray Chaudhury , Tellikepalli Kavitha , Kurt Mehlhorn , Alkmini Sgouritsa

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…

计算机科学与博弈论 · 计算机科学 2022-12-01 Haris Aziz , Warut Suksompong , Zhaohong Sun , Toby Walsh

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…

计算机科学与博弈论 · 计算机科学 2023-11-01 Shengwei Zhou , Xiaowei Wu

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…

计算机科学与博弈论 · 计算机科学 2023-07-24 Shaily Mishra , Manisha Padala , Sujit Gujar

We consider a multi-agent resource allocation setting in which an agent's utility may decrease or increase when an item is allocated. We take the group envy-freeness concept that is well-established in the literature and present stronger…

计算机科学与博弈论 · 计算机科学 2019-07-23 Haris Aziz , Simon Rey

In fair division problems, we are given a set $S$ of $m$ items and a set $N$ of $n$ agents with individual preferences, and the goal is to find an allocation of items among agents so that each agent finds the allocation fair. There are…

We here address the problem of fairly allocating indivisible goods or chores to $n$ agents with weights that define their entitlement to the set of indivisible resources. Stemming from well-studied fairness concepts such as envy-freeness up…

计算机科学与博弈论 · 计算机科学 2023-12-19 MohammadTaghi Hajiaghayi , Max Springer , Hadi Yami

A well-regarded fairness notion when dividing indivisible chores is envy-freeness up to one item (EF1), which requires that pairwise envy can be eliminated by the removal of a single item. While an EF1 and Pareto optimal (PO) allocation of…

计算机科学与博弈论 · 计算机科学 2025-05-16 Hadi Hosseini , Joshua Kavner , Tomasz Wąs , Lirong Xia

We study the fair allocation of indivisible goods among agents with additive valuations. The fair division literature has traditionally focused on two broad classes of fairness notions: envy-based notions and share-based notions. Within the…

计算机科学与博弈论 · 计算机科学 2026-04-24 Hannaneh Akrami , Timo Reichert

We consider Max-min Share (MmS) allocations of items both in the case where items are goods (positive utility) and when they are chores (negative utility). We show that fair allocations of goods and chores have some fundamental connections…

计算机科学与博弈论 · 计算机科学 2016-04-07 Haris Aziz , Gerhard Rauchecker , Guido Schryen , Toby Walsh

We study the problem of allocating indivisible chores among agents with additive cost functions in a fair and efficient manner. A major open question in this area is whether there always exists an allocation that is envy-free up to one…

计算机科学与博弈论 · 计算机科学 2025-11-27 Ryoga Mahara

In fair division problems with indivisible goods it is well known that one cannot have any guarantees for the classic fairness notions of envy-freeness and proportionality. As a result, several relaxations have been introduced, most of…

计算机科学与博弈论 · 计算机科学 2018-06-11 Georgios Amanatidis , Georgios Birmpas , Evangelos Markakis
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