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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

This paper proposes a doubled-sided auction mechanism with price discrimination for social welfare (SW) maximization in the electricity and heating market. In this mechanism, energy service providers (ESPs) submit offers and load…

Computer Science and Game Theory · Computer Science 2022-05-31 Lu Wang , Wei Gu , Shuai Lu , Haifeng Qiu , Zhi Wu

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 consider fair allocation of $m$ indivisible items to $n$ agents of equal entitlements, with submodular valuation functions. Previously, Seddighin and Seddighin [{\em Artificial Intelligence} 2024] proved the existence of allocations that…

Computer Science and Game Theory · Computer Science 2025-02-20 Uriel Feige , Shengyu Huang

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 study the problem of selection in the context of Bayesian persuasion. We are given multiple agents with hidden values (or quality scores), to whom resources must be allocated by a welfare-maximizing decision-maker. An intermediary with…

Computer Science and Game Theory · Computer Science 2025-11-18 Yannan Bai , Kamesh Munagala , Yiheng Shen , Davidson Zhu

We consider the problem of fairly allocating a set of indivisible goods among agents with additive valuations. Ex-ante fairness (proportionality) can trivially be obtained by giving all goods to a random agent. Yet, such an allocation is…

Computer Science and Game Theory · Computer Science 2026-01-26 Moshe Babaioff , Yuval Grofman

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 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…

Computer Science and Game Theory · Computer Science 2025-07-08 Bo Li , Biaoshuai Tao , Fangxiao Wang , Xiaowei Wu , Mingwei Yang , Shengwei Zhou

How can one assign roommates and rooms when tenants have preferences for both where and with whom they live? In this setting, the usual notions of envy-freeness and maximizing social welfare may not hold; the roommate rent-division problem…

Computer Science and Game Theory · Computer Science 2024-09-24 Yanqing Huang , Madeline Kitch , Natalie Melas-Kyriazi

We study the computational complexity of fairly allocating a set of indivisible items under externalities. In this recently-proposed setting, in addition to the utility the agent gets from their bundle, they also receive utility from items…

Computer Science and Game Theory · Computer Science 2024-04-16 Argyrios Deligkas , Eduard Eiben , Viktoriia Korchemna , Šimon Schierreich

We study the problem of distributing a set of indivisible items among agents with additive valuations in a $\mathit{fair}$ manner. The fairness notion under consideration is Envy-freeness up to any item (EFX). Despite significant efforts by…

Computer Science and Game Theory · Computer Science 2020-06-02 Bhaskar Ray Chaudhury , Jugal Garg , Kurt Mehlhorn

We consider the problem of fairly allocating a sequence of indivisible items that arrive online in an arbitrary order to a group of n agents with additive normalized valuation functions. We consider both the allocation of goods and chores…

Computer Science and Game Theory · Computer Science 2023-04-27 Shengwei Zhou , Rufan Bai , Xiaowei Wu

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…

Computer Science and Game Theory · Computer Science 2025-03-07 Noga Klein Elmalem , Haris Aziz , Rica Gonen , Xin Huang , Kei Kimura , Indrajit Saha , Erel Segal-Halevi , Zhaohong Sun , Mashbat Suzuki , Makoto Yokoo

We consider allocating indivisible goods with provable fairness guarantees that are satisfied regardless of which bundle of items each agent receives. Symmetrical allocations of this type are known to exist for divisible resources, such as…

Computer Science and Game Theory · Computer Science 2024-06-21 Connor Johnston , Aleksandr M. Kazachkov

We study the classic problem of fairly allocating a set of indivisible goods among a group of agents, and focus on the notion of approximate proportionality known as PROPm. Prior work showed that there exists an allocation that satisfies…

Computer Science and Game Theory · Computer Science 2021-05-25 Artem Baklanov , Pranav Garimidi , Vasilis Gkatzelis , Daniel Schoepflin

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…

Computer Science and Game Theory · Computer Science 2023-07-25 Cyrus Cousins , Vignesh Viswanathan , Yair Zick

Recent studies on disparate impact in machine learning applications have sparked a debate around the concept of fairness along with attempts to formalize its different criteria. Many of these approaches focus on reducing prediction errors…

Computers and Society · Computer Science 2018-10-22 Ansh Patel

In fair division problems, the notion of price of fairness measures the loss in welfare due to a fairness constraint. Prior work on the price of fairness has focused primarily on envy-freeness up to one good (EF1) as the fairness…

Computer Science and Game Theory · Computer Science 2023-07-14 Umang Bhaskar , Neeldhara Misra , Aditi Sethia , Rohit Vaish

We study market mechanisms for allocating divisible goods to competing agents with quasilinear utilities. For \emph{linear} pricing (i.e., the cost of a good is proportional to the quantity purchased), the First Welfare Theorem states that…

Computer Science and Game Theory · Computer Science 2020-09-22 Ashish Goel , Benjamin Plaut
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