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We study the envy-free house allocation problem when agents have uncertain preferences over items and consider several well-studied preference uncertainty models. The central problem that we focus on is computing an allocation that has the…

计算机科学与博弈论 · 计算机科学 2023-12-19 Haris Aziz , Isaiah Iliffe , Bo Li , Angus Ritossa , Ankang Sun , Mashbat Suzuki

A set of divisible resources becomes available over a sequence of rounds and needs to be allocated immediately and irrevocably. Our goal is to distribute these resources to maximize fairness and efficiency. Achieving any non-trivial…

计算机科学与博弈论 · 计算机科学 2020-09-29 Vasilis Gkatzelis , Alexandros Psomas , Xizhi Tan

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…

计算机科学与博弈论 · 计算机科学 2024-09-23 Haris Aziz , Xin Huang , Nicholas Mattei , Erel Segal-Halevi

We consider a practically motivated variant of the canonical online fair allocation problem: a decision-maker has a budget of perishable resources to allocate over a fixed number of rounds. Each round sees a random number of arrivals, and…

最优化与控制 · 数学 2026-04-03 Siddhartha Banerjee , Chamsi Hssaine , Sean R. Sinclair

This paper explores the fair allocation of indivisible items in a multidimensional setting, motivated by the need to address fairness in complex environments where agents assess bundles according to multiple criteria. Such multidimensional…

计算机科学与博弈论 · 计算机科学 2025-06-30 Yasushi Kawase , Bodhayan Roy , Mohammad Azharuddin Sanpui

We study the fundamental problem of fairly allocating a multiset $\mathcal{M}$ of $t$ types of indivisible items among $d$ groups of agents, where all agents within a group have identical additive valuations. Gorantla et al. [GMV23] showed…

计算机科学与博弈论 · 计算机科学 2026-03-09 Egor Gagushin , Marios Mertzanidis , Alexandros Psomas

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

We study temporal fair division, whereby a set of agents are allocated a (possibly different) set of goods on each day for a period of days. We study this setting, as well as a number of its special cases formed by the restrictions to two…

计算机科学与博弈论 · 计算机科学 2024-11-01 Benjamin Cookson , Soroush Ebadian , Nisarg Shah

This article deals with the cake cutting problem. In this setting, there exists two notions of fair division: proportional division (when there are n players, each player thinks to get at least 1/n of the cake) and envy-free division (each…

多智能体系统 · 计算机科学 2025-09-17 Guillaume Chèze

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

The classical house allocation problem involves assigning $n$ houses (or items) to $n$ agents according to their preferences. A key criterion in such problems is satisfying some fairness constraints such as envy-freeness. We consider a…

计算机科学与博弈论 · 计算机科学 2023-09-20 Hadi Hosseini , Justin Payan , Rik Sengupta , Rohit Vaish , Vignesh Viswanathan

We study the problem of fairly allocating indivisible goods to groups of agents. Agents in the same group share the same set of goods even though they may have different preferences. Previous work has focused on unanimous fairness, in which…

计算机科学与博弈论 · 计算机科学 2020-01-01 Erel Segal-Halevi , Warut Suksompong

An unceasing problem of our prevailing society is the fair division of goods. The problem of proportional cake cutting focuses on dividing a heterogeneous and divisible resource, the cake, among $n$ players who value pieces according to…

离散数学 · 计算机科学 2018-05-02 Ágnes Cseh , Tamás Fleiner

We study a fair division model where indivisible items arrive sequentially, and must be allocated immediately and irrevocably. Previous work on online fair division has shown impossibility results in achieving approximate envy-freeness…

计算机科学与博弈论 · 计算机科学 2024-10-21 Edith Elkind , Alexander Lam , Mohamad Latifian , Tzeh Yuan Neoh , Nicholas Teh

Envy-freeness is a standard benchmark of fairness in resource allocation. Since it cannot always be satisfied when the resource consists of indivisible items even when there are two agents, the relaxations envy-freeness up to one item (EF1)…

计算机科学与博弈论 · 计算机科学 2020-07-07 Warut Suksompong

We study fairness in the allocation of discrete goods. Exactly fair (envy-free) allocations are impossible, so we discuss notions of approximate fairness. In particular, we focus on allocations in which the swap of two items serves to…

理论经济学 · 经济学 2025-08-14 Federico Echenique , Sumit Goel , SangMok Lee

When dividing items among agents, two of the most widely studied fairness notions are envy-freeness and proportionality. We consider a setting where $m$ chores are allocated to $n$ agents and the disutility of each chore for each agent is…

计算机科学与博弈论 · 计算机科学 2025-04-30 Pasin Manurangsi , Warut Suksompong

Fair allocation of indivisible goods is a well-explored problem. Traditionally, research focused on individual fairness - are individual agents satisfied with their allotted share? - and group fairness - are groups of agents treated fairly?…

计算机科学与博弈论 · 计算机科学 2023-02-15 Jonathan Scarlett , Nicholas Teh , Yair Zick

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.…

数据结构与算法 · 计算机科学 2025-12-30 Ajaykrishnan E S , Daniel Lokshtanov

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…

计算机科学与博弈论 · 计算机科学 2024-08-27 Ayumi Igarashi , Yasushi Kawase , Warut Suksompong , Hanna Sumita