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相关论文: Contiguous Cake Cutting: Hardness Results and Appr…

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We introduce a generalized cake-cutting problem in which we seek to divide multiple cakes so that two players may get their most-preferred piece selections: a choice of one piece from each cake, allowing for the possibility of linked…

组合数学 · 数学 2009-09-03 John Cloutier , Kathryn L. Nyman , Francis Edward Su

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 problem of fairly allocating indivisible goods between groups of agents using the recently introduced relaxations of envy-freeness. We consider the existence of fair allocations under different assumptions on the valuations of…

计算机科学与博弈论 · 计算机科学 2020-09-17 Maria Kyropoulou , Warut Suksompong , Alexandros A. Voudouris

We consider a fair division setting where indivisible items are allocated to agents. Each agent in the setting has strictly negative, zero or strictly positive utility for each item. We, thus, make a distinction between items that are good…

计算机科学与博弈论 · 计算机科学 2020-05-14 Martin Aleksandrov

The fair allocation of mixed goods, consisting of both divisible and indivisible goods, has been a prominent topic of study in economics and computer science. We define an allocation as fair if its utility vector minimizes a symmetric…

计算机科学与博弈论 · 计算机科学 2024-07-10 Yasushi Kawase , Koichi Nishimura , Hanna Sumita

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,…

计算机科学与博弈论 · 计算机科学 2024-07-25 Jinghan A Zeng , Ruta Mehta

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 study classic cake-cutting problems, but in discrete models rather than using infinite-precision real values, specifically, focusing on their communication complexity. Using general discrete simulations of classical infinite-precision…

计算机科学与博弈论 · 计算机科学 2018-08-21 Simina Brânzei , Noam Nisan

We study the allocation of indivisible goods that form an undirected graph and quantify the loss of fairness when we impose a constraint that each agent must receive a connected subgraph. Our focus is on well-studied fairness notions…

计算机科学与博弈论 · 计算机科学 2023-03-20 Xiaohui Bei , Ayumi Igarashi , Xinhang Lu , Warut Suksompong

Allocating $m$ indivisible goods among $n$ agents is a fundamental task in fair division. Recent work of Garg and Psomas [AAMAS 2025] initiated the study of parallel algorithms for envy-free up to one good (EF1) allocations, giving NC…

数据结构与算法 · 计算机科学 2026-05-19 Kishen N Gowda , D Ellis Hershkowitz , Richard Z Huang , Gregory Kehne

We study the problem of allocating indivisible goods among agents with additive valuations. When randomization is allowed, it is possible to achieve compelling notions of fairness such as envy-freeness, which states that no agent should…

计算机科学与博弈论 · 计算机科学 2020-05-29 Rupert Freeman , Nisarg Shah , Rohit Vaish

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

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.…

计算机科学与博弈论 · 计算机科学 2019-02-13 Ioannis Caragiannis , Nick Gravin , Xin Huang

We study the problem of fairly and efficiently allocating a set of items among strategic agents with additive valuations, where items are either all indivisible or all divisible. When items are goods, numerous positive and negative results…

计算机科学与博弈论 · 计算机科学 2025-07-08 Bo Li , Biaoshuai Tao , Fangxiao Wang , Xiaowei Wu , Mingwei Yang , Shengwei Zhou

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 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

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 fair division of goods under the broad class of generalized assignment constraints. In this constraint framework, the sizes and values of the goods are agent-specific, and one needs to allocate the goods among the agents fairly…

计算机科学与博弈论 · 计算机科学 2023-05-03 Siddharth Barman , Arindam Khan , Sudarshan Shyam , K. V. N. Sreenivas

Fair division with unequal shares is an intensively studied recourse allocation problem. For $ i\in [n] $, let $ \mu_i $ be an atomless probability measure on the measurable space $(C,\mathcal{S}) $ and let $ t_i $ be positive numbers…

组合数学 · 数学 2022-02-15 Zsuzsanna Jankó , Attila Joó

We study how to fairly allocate a set of indivisible chores to a group of agents, where each agent $i$ has a non-negative weight $w_i$ that represents its obligation for undertaking the chores. We consider the fairness notion of weighted…

计算机科学与博弈论 · 计算机科学 2023-01-20 Xiaowei Wu , Cong Zhang , Shengwei Zhou