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We study fair allocation of indivisible goods among agents. Prior research focuses on additive agent preferences, which leads to an impossibility when seeking truthfulness, fairness, and efficiency. We show that when agents have binary…

计算机科学与博弈论 · 计算机科学 2020-10-01 Daniel Halpern , Ariel D. Procaccia , Alexandros Psomas , Nisarg Shah

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

A simple mechanism for allocating indivisible resources is sequential allocation in which agents take turns to pick items. We focus on possible and necessary allocation problems, checking whether allocations of a given form occur in some or…

人工智能 · 计算机科学 2014-12-09 Haris Aziz , Toby Walsh , Lirong Xia

The theory of algorithmic fair allocation is within the center of multi-agent systems and economics in the last decade due to its industrial and social importance. At a high level, the problem is to assign a set of items that are either…

计算机科学与博弈论 · 计算机科学 2022-02-18 Haris Aziz , Bo Li , Herve Moulin , Xiaowei Wu

Fairly dividing a set of indivisible resources to a set of agents is of utmost importance in some applications. However, after an allocation has been implemented the preferences of agents might change and envy might arise. We study the…

计算机科学与博弈论 · 计算机科学 2022-02-04 Niclas Boehmer , Robert Bredereck , Klaus Heeger , Dušan Knop , Junjie Luo

Reallocating resources to get mutually beneficial outcomes is a fundamental problem in various multi-agent settings. While finding an arbitrary Pareto optimal allocation is generally easy, checking whether a particular allocation is Pareto…

计算机科学与博弈论 · 计算机科学 2018-05-18 Haris Aziz , Peter Biro , Jerome Lang , Julien Lesca , Jerome Monnot

We study the problem of fairly allocating indivisible goods (positively valued items) and chores (negatively valued items) among agents with decreasing marginal utilities over items. Our focus is on instances where all the agents have…

计算机科学与博弈论 · 计算机科学 2023-07-25 Cyrus Cousins , Vignesh Viswanathan , Yair Zick

It is often beneficial for agents to pool their resources in order to better accommodate fluctuations in individual demand. Many multi-round resource allocation mechanisms operate in an online manner: in each round, the agents specify their…

计算机科学与博弈论 · 计算机科学 2022-08-02 Fu Li , C. Gregory Plaxton , Vaibhav B. Sinha

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

In fair division of indivisible items, domain restriction has played a key role in escaping from negative results and providing structural insights into the computational and axiomatic boundaries of fairness. One notable subdomain of…

计算机科学与博弈论 · 计算机科学 2024-05-01 Hadi Hosseini , Aghaheybat Mammadov , Tomasz Wąs

We consider the fair division problem of indivisible items. It is well-known that an envy-free allocation may not exist, and a relaxed version of envy-freeness, envy-freeness up to one item (EF1), has been widely considered. In an EF1…

计算机科学与博弈论 · 计算机科学 2022-11-30 Xiaolin Bu , Zihao Li , Shengxin Liu , Jiaxin Song , Biaoshuai Tao

We study the problem of fairly allocating either a set of indivisible goods or a set of mixed divisible and indivisible goods (i.e., mixed goods) to agents with additive utilities, taking the best-of-both-worlds perspective of guaranteeing…

计算机科学与博弈论 · 计算机科学 2024-10-25 Xiaolin Bu , Zihao Li , Shengxin Liu , Xinhang Lu , Biaoshuai Tao

We study a new but simple model for online fair division in which indivisible items arrive one-by-one and agents have monotone utilities over bundles of the items. We consider axiomatic properties of mechanisms for this model such as…

计算机科学与博弈论 · 计算机科学 2020-06-30 Martin Aleksandrov , Toby Walsh

We study the fair division of items to agents supposing that agents can form groups. We thus give natural generalizations of popular concepts such as envy-freeness and Pareto efficiency to groups of fixed sizes. Group envy-freeness requires…

计算机科学与博弈论 · 计算机科学 2020-06-30 Martin Aleksandrov , Toby Walsh

We study a discrete fair division problem where $n$ agents have additive valuation functions over a set of $m$ goods. We focus on the well-known $\alpha$-EFX fairness criterion, according to which the envy of an agent for another agent is…

计算机科学与博弈论 · 计算机科学 2026-02-10 Aris Filos-Ratsikas , Georgios Kalantzis , Alexandros A. Voudouris

The problem of fairly allocating a set of indivisible items is a well-known challenge in the field of (computational) social choice. In this scenario, there is a fundamental incompatibility between notions of fairness (such as envy-freeness…

计算机科学与博弈论 · 计算机科学 2023-12-21 Ayumi Igarashi , Martin Lackner , Oliviero Nardi , Arianna Novaro

Equitable allocation of indivisible items involves partitioning the items among agents such that everyone derives (almost) equal utility. We consider the approximate notion of \textit{equitability up to one item} (EQ1) and focus on the…

计算机科学与博弈论 · 计算机科学 2025-08-22 Hadi Hosseini , Aditi Sethia

We consider the problem of dividing limited resources between a set of agents arriving sequentially with unknown (stochastic) utilities. Our goal is to find a fair allocation - one that is simultaneously Pareto-efficient and envy-free. When…

计算机科学与博弈论 · 计算机科学 2022-07-12 Sean R. Sinclair , Gauri Jain , Siddhartha Banerjee , Christina Lee Yu

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