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Related papers: Online Fair Division with Additional Information

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The maximin share (MMS) guarantee is a desirable fairness notion for allocating indivisible goods. While MMS allocations do not always exist, several approximation techniques have been developed to ensure that all agents receive a fraction…

Computer Science and Game Theory · Computer Science 2021-05-21 Hadi Hosseini , Andrew Searns

We here address the problem of fairly allocating indivisible goods or chores to $n$ agents with weights that define their entitlement to the set of indivisible resources. Stemming from well-studied fairness concepts such as envy-freeness up…

Computer Science and Game Theory · Computer Science 2023-12-19 MohammadTaghi Hajiaghayi , Max Springer , Hadi Yami

We study the problem of mechanism design for allocating a set of indivisible items among agents with private preferences on items. We are interested in such a mechanism that is strategyproof (where agents' best strategy is to report their…

Computer Science and Game Theory · Computer Science 2024-08-05 Ankang Sun , Bo Chen

Fairness in online advertising is often formalized as a distributive justice problem, aiming to ensure that impressions, opportunities, or outcomes are allocated comparably across protected groups. Yet online advertising can still produce…

Computers and Society · Computer Science 2026-05-06 Camilla Quaresmini , Valentina Breschi , Jessica Leoni , Viola Schiaffonati , Mara Tanelli , Giulia De Pasquale

In the allocation of indivisible goods, a prominent fairness notion is envy-freeness up to one good (EF1). We initiate the study of reachability problems in fair division by investigating the problem of whether one EF1 allocation can be…

Computer Science and Game Theory · Computer Science 2024-11-19 Ayumi Igarashi , Naoyuki Kamiyama , Warut Suksompong , Sheung Man Yuen

Fair allocation has been studied intensively in both economics and computer science, and fair sharing of resources has aroused renewed interest with the advent of virtualization and cloud computing. Prior work has typically focused on…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-06-15 Danny Dolev , Dror G. Feitelson , Joseph Y. Halpern , Raz Kupferman , Nati Linial

We study a fair resource scheduling problem, where a set of interval jobs are to be allocated to heterogeneous machines controlled by agents. Each job is associated with release time, deadline, and processing time such that it can be…

Computer Science and Game Theory · Computer Science 2022-01-03 Bo Li , Minming Li , Ruilong Zhang

We introduce a problem of fairly allocating indivisible goods (items) in which the agents' valuations cannot be observed directly, but instead can only be accessed via noisy queries. In the two-agent setting with Gaussian noise and bounded…

Computer Science and Game Theory · Computer Science 2026-05-29 Zihan Li , Yan Hao Ling , Jonathan Scarlett , Warut Suksompong

Matching problems with group-fairness constraints and diversity constraints have numerous applications such as in allocation problems, committee selection, school choice, etc. Moreover, online matching problems have lots of applications in…

Data Structures and Algorithms · Computer Science 2023-08-04 Anand Louis , Meghana Nasre , Prajakta Nimbhorkar , Govind S. Sankar

Online platforms increasingly rely on sequential decision-making algorithms to allocate resources, match users, or control exposure, while facing growing pressure to ensure fairness over time. We study a general online decision-making…

Optimization and Control · Mathematics 2026-02-13 Rui Chen , Oktay Gunluk , Andrea Lodi , Guanyi Wang

The fair division of indivisible goods is not only a subject of theoretical research, but also an important problem in practice, with solutions being offered on several online platforms. Little is known, however, about the characteristics…

Computer Science and Game Theory · Computer Science 2025-05-07 Paula Böhm , Robert Bredereck , Paul Gölz , Andrzej Kaczmarczyk , Stanisław Szufa

We study the problem of selling identical goods to n unit-demand bidders in a setting in which the total supply of goods is unknown to the mechanism. Items arrive dynamically, and the seller must make the allocation and payment decisions…

Computer Science and Game Theory · Computer Science 2009-05-22 Moshe Babaioff , Liad Blumrosen , Aaron L. Roth

We investigate the online fair allocation problem with sequentially arriving items under various input models, with the goal of balancing fairness and efficiency. We propose the unconstrained PACE (Pacing According to Current Estimated…

Computer Science and Game Theory · Computer Science 2024-08-06 Zongjun Yang , Luofeng Liao , Yuan Gao , Christian Kroer

Several different fairness notions have been introduced in the context of fair allocation of goods. In this manuscript, we compare between some fairness notions that are used in settings in which agents have arbitrary (perhaps unequal)…

Computer Science and Game Theory · Computer Science 2023-12-01 Uriel Feige

Fair allocation of indivisible goods is a fundamental problem at the interface of economics and computer science. Traditional approaches focus either on randomized allocations that are fair in expectation or deterministic allocations that…

Computer Science and Game Theory · Computer Science 2025-07-23 Telikepalli Kavitha , Surya Panchapakesan , Rohit Vaish , Vignesh Viswanathan , Jatin Yadav

We study a fair division problem with indivisible items, namely the computation of maximin share allocations. Given a set of $n$ players, the maximin share of a single player is the best she can guarantee to herself, if she would partition…

Computer Science and Game Theory · Computer Science 2016-05-16 Georgios Amanatidis , Georgios Birmpas , Evangelos Markakis

Most of the existing algorithms for fair division do not consider externalities. Under externalities, the utility an agent obtains depends not only on its allocation but also on the allocation of other agents. An agent has a positive…

Computer Science and Game Theory · Computer Science 2022-02-28 Shaily Mishra , Manisha Padala , Sujit Gujar

The theory of discrete-time online learning has been successfully applied in many problems that involve sequential decision-making under uncertainty. However, in many applications including contractual hiring in online freelancing platforms…

Machine Learning · Computer Science 2020-07-27 Semih Cayci , Swati Gupta , Atilla Eryilmaz

We study the problem of allocating indivisible goods among n agents in a fair manner. For this problem, maximin share (MMS) is a well-studied solution concept which provides a fairness threshold. Specifically, maximin share is defined as…

Computer Science and Game Theory · Computer Science 2017-11-22 Siddharth Barman , Arpita Biswas , Sanath Kumar Krishnamurthy , Y. Narahari

We consider the fair allocation of indivisible items to several agents and add a graph theoretical perspective to this classical problem. Namely, we introduce an incompatibility relation between pairs of items described in terms of a…

Discrete Mathematics · Computer Science 2022-11-29 Nina Chiarelli , Matjaž Krnc , Martin Milanič , Ulrich Pferschy , Nevena Pivač , Joachim Schauer