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Related papers: On Truthful Mechanisms for Maximin Share Allocatio…

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We study fair resource allocation when the resources contain a mixture of divisible and indivisible goods, focusing on the well-studied fairness notion of maximin share fairness (MMS). With only indivisible goods, a full MMS allocation may…

Computer Science and Game Theory · Computer Science 2021-07-02 Xiaohui Bei , Shengxin Liu , Xinhang Lu , Hongao Wang

We study truthful mechanisms for allocation problems in graphs, both for the minimization (i.e., scheduling) and maximization (i.e., auctions) setting. The minimization problem is a special case of the well-studied unrelated machines…

Computer Science and Game Theory · Computer Science 2021-06-08 George Christodoulou , Elias Koutsoupias , Annamaria Kovacs

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…

Combinatorics · Mathematics 2022-02-15 Zsuzsanna Jankó , Attila Joó

The real-world deployment of fair allocation algorithms usually involves a heterogeneous population of users, which makes it challenging for the users to get complete knowledge of the allocation except for their own bundles. Chan et al.…

Computer Science and Game Theory · Computer Science 2023-08-31 Tianze Wei , Bo Li , Minming Li

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…

Computer Science and Game Theory · Computer Science 2025-12-08 Xiaolin Bu , Biaoshuai Tao

The classic fair division problems assume the resources to be allocated are either divisible or indivisible, or contain a mixture of both, but the agents always have a predetermined and uncontroversial agreement on the (in)divisibility of…

Computer Science and Game Theory · Computer Science 2025-03-31 Xiaohui Bei , Shengxin Liu , Xinhang Lu

We study an online version of the max-min fair allocation problem for indivisible items. In this problem, items arrive one by one, and each item must be allocated irrevocably on arrival to one of $n$ agents, who have additive valuations for…

Computer Science and Game Theory · Computer Science 2021-11-16 Yasushi Kawase , Hanna Sumita

We study the classic divide-and-choose method for equitably allocating divisible goods between two players who are rational, self-interested Bayesian agents. The players have additive values for the goods. The prior distributions on those…

Computer Science and Game Theory · Computer Science 2024-10-22 Jamie Tucker-Foltz , Richard Zeckhauser

We study the problem of fairly allocating indivisible goods when limited sharing is allowed, that is, each good may be allocated to up to $k$ agents, while incurring a cost for sharing. While classic maximin share (MMS) allocations may not…

Computer Science and Game Theory · Computer Science 2026-03-05 Hana Salavcova , Martin Černý , Arpita Biswas

We consider an assignment problem that has aspects of fair division as well as social choice. In particular, we investigate the problem of assigning a small subset from a set of indivisible items to multiple players so that the chosen…

Computer Science and Game Theory · Computer Science 2019-02-06 Warut Suksompong

One of the important yet insufficiently studied subjects in fair allocation is the externality effect among agents. For a resource allocation problem, externalities imply that a bundle allocated to an agent may affect the utilities of other…

Computer Science and Game Theory · Computer Science 2018-05-17 Mohammad Ghodsi , Hamed Saleh , Masoud Seddighin

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…

Computer Science and Game Theory · Computer Science 2022-02-18 Haris Aziz , Bo Li , Herve Moulin , Xiaowei Wu

Recent work has constructed economic mechanisms that are both truthful and differentially private. In these mechanisms, privacy is treated separately from the truthfulness; it is not incorporated in players' utility functions (and doing so…

Computer Science and Game Theory · Computer Science 2012-11-14 Yiling Chen , Stephen Chong , Ian A. Kash , Tal Moran , Salil Vadhan

We initiate the work on fair and strategyproof allocation of indivisible chores. The fairness concept we consider in this paper is maxmin share (MMS) fairness. We consider three previously studied models of information elicited from the…

Computer Science and Game Theory · Computer Science 2019-05-23 Haris Aziz , Bo Li , Xiaowei Wu

In this research, we study the problem that a collector acquires items from the owner based on the item qualities the owner declares and an independent appraiser's assessments. The owner is interested in maximizing the probability that the…

Computer Science and Game Theory · Computer Science 2024-02-23 Liang Shan , Shuo Zhang , Jie Zhang , Zihe Wang

We study the problem of fairly allocating a divisible resource, also known as cake cutting, with an additional requirement that the shares that different agents receive should be sufficiently separated from one another. This captures, for…

Computer Science and Game Theory · Computer Science 2022-09-20 Edith Elkind , Erel Segal-Halevi , Warut Suksompong

We study the problem of fairly allocating indivisible goods among a set of agents. Our focus is on the existence of allocations that give each agent their maximin fair share--the value they are guaranteed if they divide the goods into as…

Computer Science and Game Theory · Computer Science 2024-07-19 Sirin Botan , Angus Ritossa , Mashbat Suzuki , Toby Walsh

We study the fundamental problem of fairly allocating a set of indivisible goods among $n$ agents with additive valuations using the desirable fairness notion of maximin share (MMS). MMS is the most popular share-based notion, in which an…

Computer Science and Game Theory · Computer Science 2023-07-25 Hannaneh Akrami , Jugal Garg

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…

Discrete Mathematics · Computer Science 2018-05-02 Ágnes Cseh , Tamás Fleiner

We investigate the problem of fairly allocating indivisible goods among interested agents using the concept of maximin share. Procaccia and Wang showed that while an allocation that gives every agent at least her maximin share does not…

Computer Science and Game Theory · Computer Science 2018-04-19 Warut Suksompong