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The Assignment problem is a fundamental and well-studied problem in the intersection of Social Choice, Computational Economics and Discrete Allocation. In the Assignment problem, a group of agents expresses preferences over a set of items,…

Data Structures and Algorithms · Computer Science 2021-05-24 Barak Steindl , Meirav Zehavi

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…

Computer Science and Game Theory · Computer Science 2020-05-29 Rupert Freeman , Nisarg Shah , Rohit Vaish

Implicit bias is the unconscious attribution of particular qualities (or lack thereof) to a member from a particular social group (e.g., defined by gender or race). Studies on implicit bias have shown that these unconscious stereotypes can…

Computers and Society · Computer Science 2020-01-27 L. Elisa Celis , Anay Mehrotra , Nisheeth K. Vishnoi

I develop a revealed preference framework to test whether an aggregate allocation of indivisible objects satisfies Pareto efficiency and individual rationality (PI) without observing individual preferences. Exploiting the type-based…

Theoretical Economics · Economics 2025-12-30 Umutcan Salman

We study several fairness notions in allocating indivisible chores (i.e., items with non-positive values) to agents who have additive and submodular cost functions. The fairness criteria we are concern with are envy-free up to any item…

Computer Science and Game Theory · Computer Science 2021-09-29 Ankang Sun , Bo Chen , Xuan Vinh Doan

The ability to transfer knowledge to novel environments and tasks is a sensible desiderata for general learning agents. Despite the apparent promises, transfer in RL is still an open and little exploited research area. In this paper, we…

Machine Learning · Computer Science 2020-10-13 Johan Ferret , Raphaël Marinier , Matthieu Geist , Olivier Pietquin

We consider a multi-agent resource allocation setting in which an agent's utility may decrease or increase when an item is allocated. We take the group envy-freeness concept that is well-established in the literature and present stronger…

Computer Science and Game Theory · Computer Science 2019-07-23 Haris Aziz , Simon Rey

In this paper, we study the classic problem of fairly allocating indivisible items with the extra feature that the items lie on a line. Our goal is to find a fair allocation that is contiguous, meaning that the bundle of each agent forms a…

Computer Science and Game Theory · Computer Science 2019-04-30 Warut Suksompong

We study fair allocation of indivisible goods to agents with unequal entitlements. Fair allocation has been the subject of many studies in both divisible and indivisible settings. Our emphasis is on the case where the goods are indivisible…

Computer Science and Game Theory · Computer Science 2017-04-12 Alireza Farhadi , Mohammad Ghodsi , MohammadTaghi Hajiaghayi , Sebastien Lahaie , David Pennock , Masoud Seddighin , Saeed Seddighin , Hadi Yami

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…

Computer Science and Game Theory · Computer Science 2025-08-22 Hadi Hosseini , Aditi Sethia

Apportionment is the task of assigning resources to entities with different entitlements in a fair manner, and specifically a manner that is as proportional as possible. The best-known application is the assignment of parliamentary seats to…

Computer Science and Game Theory · Computer Science 2025-10-14 Julian Chingoma , Ulle Endriss , Ronald de Haan , Adrian Haret , Jan Maly

We study the problem of allocating indivisible goods among agents with additive valuation functions to achieve both fairness and efficiency under the constraint that each agent receives exactly the same number of goods (the \emph{balanced…

Computer Science and Game Theory · Computer Science 2026-03-09 Yasushi Kawase , Ryoga Mahara

Settings such as lending and policing can be modeled by a centralized agent allocating a resource (loans or police officers) amongst several groups, in order to maximize some objective (loans given that are repaid or criminals that are…

Machine Learning · Computer Science 2018-11-16 Hadi Elzayn , Shahin Jabbari , Christopher Jung , Michael Kearns , Seth Neel , Aaron Roth , Zachary Schutzman

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

Randomized experiments have been the gold standard for assessing the effectiveness of a treatment or policy. The classical complete randomization approach assigns treatments based on a prespecified probability and may lead to inefficient…

Methodology · Statistics 2023-10-26 Waverly Wei , Xinwei Ma , Jingshen Wang

The research on coalitional games has focused on how to share the reward among a coalition such that players are incentivised to collaborate together. It assumes that the (deterministic or stochastic) characteristic function is known in…

Computer Science and Game Theory · Computer Science 2019-10-28 Dengji Zhao , Yiqing Huang , Liat Cohen , Tal Grinshpoun

We consider the problem of fairly dividing a set of items. Much of the fair division literature assumes that the items are `goods' i.e., they yield positive utility for the agents. There is also some work where the items are `chores' that…

Computer Science and Game Theory · Computer Science 2021-03-18 Haris Aziz , Ioannis Caragiannis , Ayumi Igarashi , Toby Walsh

We study the problem of assigning objects to agents in the presence of arbitrary linear constraints when agents are allowed to be indifferent between objects. Our main contribution is the generalization of the (Extended) Probabilistic…

Theoretical Economics · Economics 2020-11-03 Priyanka Shende

A set of objects is to be divided fairly among agents with different tastes, modeled by additive utility-functions. If we consider the objects as indivisible, many instances of the decision problem: ``Is there a fair division of the objects…

Computer Science and Game Theory · Computer Science 2025-07-03 Samuel Bismuth , Ivan Bliznets , Erel Segal-Halevi

A set of divisible resources becomes available over a sequence of rounds and needs to be allocated immediately and irrevocably. Our goal is to distribute these resources to maximize fairness and efficiency. Achieving any non-trivial…

Computer Science and Game Theory · Computer Science 2020-09-29 Vasilis Gkatzelis , Alexandros Psomas , Xizhi Tan
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