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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.…

计算机科学与博弈论 · 计算机科学 2020-03-19 Haris Aziz

We consider the age-old problem of allocating items among different agents in a way that is efficient and fair. Two papers, by Dolev et al. and Ghodsi et al., have recently studied this problem in the context of computer systems. Both…

计算机科学与博弈论 · 计算机科学 2012-04-20 Avital Gutman , Noam Nisan

Algorithmic decision making systems are ubiquitous across a wide variety of online as well as offline services. These systems rely on complex learning methods and vast amounts of data to optimize the service functionality, satisfaction of…

We study fair allocation of indivisible goods among additive agents with feasibility constraints. In these settings, every agent is restricted to get a bundle among a specified set of feasible bundles. Such scenarios have been of great…

计算机科学与博弈论 · 计算机科学 2022-04-26 Amitay Dror , Michal Feldman , Erel Segal-Halevi

A collection of objects, some of which are good and some are bad, is to be divided fairly among agents with different tastes, modeled by additive utility functions. If the objects cannot be shared, so that each of them must be entirely…

计算机科学与博弈论 · 计算机科学 2022-11-10 Fedor Sandomirskiy , Erel Segal-Halevi

We investigate Ekici (2024b)'s multi-center allocation problems, focusing on fairness in this context. We introduce three fairness notions that respect centers' priorities: internal fairness, external fairness, and procedural fairness. The…

理论经济学 · 经济学 2026-03-03 Yao Cheng , Di Feng

We study the problem of fairly allocating $m$ indivisible items arriving online, among $n$ (offline) agents. Although envy-freeness has emerged as the archetypal fairness notion, envy-free (EF) allocations need not exist with indivisible…

计算机科学与博弈论 · 计算机科学 2025-10-16 Pooja Kulkarni , Ruta Mehta , Vishnu V. Narayan , Tomasz Ponitka

We study the problem of fair division when the resources contain both divisible and indivisible goods. Classic fairness notions such as envy-freeness (EF) and envy-freeness up to one good (EF1) cannot be directly applied to the mixed goods…

计算机科学与博弈论 · 计算机科学 2021-01-28 Xiaohui Bei , Zihao Li , Jinyan Liu , Shengxin Liu , Xinhang Lu

Several relaxations of envy-freeness, tailored to fair division in settings with indivisible goods, have been introduced within the last decade. Due to the lack of general existence results for most of these concepts, great attention has…

计算机科学与博弈论 · 计算机科学 2021-03-09 Georgios Amanatidis , Apostolos Ntokos , Evangelos Markakis

We consider the allocation of limited resources to heterogeneous customers who arrive in an online fashion. We would like to allocate the resources "fairly", so that no group of customers is marginalized in terms of their overall service…

数据结构与算法 · 计算机科学 2021-05-24 Will Ma , Pan Xu , Yifan Xu

In fair division applications, agents may have unequal entitlements reflecting their different contributions. Moreover, the contributions of agents may depend on the allocation itself. Previous fairness notions designed for agents with…

计算机科学与博弈论 · 计算机科学 2023-01-31 Qishen Han , Biaoshuai Tao , Lirong Xia

We study the fair allocation problem of indivisible items with subsidy. In this paper, we focus on the notion of fairness - equitability (EQ), which requires that items be allocated such that all agents value the bundle they receive…

计算机科学与博弈论 · 计算机科学 2025-09-10 Yuanyuan Wang , Tianze Wei

When users access shared resources in a selfish manner, the resulting societal cost and perceived users' cost is often higher than what would result from a centrally coordinated optimal allocation. While several contributions in mechanism…

计算机科学与博弈论 · 计算机科学 2024-03-08 Leonardo Pedroso , Andrea Agazzi , W. P. M. H. Heemels , Mauro Salazar

We study the problem of fairly and truthfully allocating $m$ indivisible items to $n$ agents with additive preferences. Specifically, we consider truthful mechanisms outputting allocations that satisfy EF$^{+u}_{-v}$, where, in an…

计算机科学与博弈论 · 计算机科学 2025-12-08 Xiaolin Bu , Biaoshuai Tao

We study the efficiency of fair allocations using the well-studied price of fairness concept, which quantitatively measures the worst-case efficiency loss when imposing fairness constraints. Previous works provided partial results on the…

计算机科学与博弈论 · 计算机科学 2024-01-04 Zihao Li , Shengxin Liu , Xinhang Lu , Biaoshuai Tao , Yichen Tao

We study mechanisms for an allocation of goods among agents, where agents have no incentive to lie about their true values (incentive compatible) and for which no agent will seek to exchange outcomes with another (envy-free). Mechanisms…

计算机科学与博弈论 · 计算机科学 2010-03-30 Edith Cohen , Michal Feldman , Amos Fiat , Haim Kaplan , Svetlana Olonetsky

We consider a setting in which a group of agents share resources that must be allocated among them in each discrete time period. Agents have time-varying demands and derive constant marginal utility from each unit of resource received up to…

计算机科学与博弈论 · 计算机科学 2026-01-27 Seyed Majid Zahedi , Rupert Freeman

We consider the problem of online fair division of indivisible goods to players when there are a finite number of types of goods and player values are drawn from distributions with unknown means. Our goal is to maximize social welfare…

计算机科学与博弈论 · 计算机科学 2024-12-10 Ariel D. Procaccia , Benjamin Schiffer , Shirley Zhang

We explore solutions for fairly allocating indivisible items among agents assigned weights representing their entitlements. Our fairness goal is weighted-envy-freeness (WEF), where each agent deems their allocated portion relative to their…

计算机科学与博弈论 · 计算机科学 2025-02-25 Noga Klein Elmalem , Rica Gonen , Erel Segal-Halevi

Fairly allocating indivisible goods is a frequently occurring task in everyday life. Given an initial allocation of the goods, we consider the problem of reforming it via a sequence of exchanges to attain fairness in the form of…

计算机科学与博弈论 · 计算机科学 2024-12-30 Sheung Man Yuen , Ayumi Igarashi , Naoyuki Kamiyama , Warut Suksompong