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The existence of EFX allocations is a fundamental open problem in discrete fair division. Given a set of agents and indivisible goods, the goal is to determine the existence of an allocation where no agent envies another following the…

Computer Science and Game Theory · Computer Science 2022-12-26 Hannaneh Akrami , Noga Alon , Bhaskar Ray Chaudhury , Jugal Garg , Kurt Mehlhorn , Ruta Mehta

We present fast, fair, flexible, and welfare efficient algorithms for assigning reviewers to submitted conference papers. Our approaches extend picking sequence mechanisms, standard tools from the fair allocation literature to ensure…

Computer Science and Game Theory · Computer Science 2024-02-16 Justin Payan , Yair Zick

We consider the problem of fairly dividing indivisible goods among agents with additive valuations. It is known that an Epistemic EFX and $2/3$-MMS allocation can be obtained using the Envy-Cycle-Elimination (ECE) algorithm. In this work,…

Computer Science and Game Theory · Computer Science 2024-10-14 Jugal Garg , Eklavya Sharma

We study the fair division of indivisible items and provide new insights into the EFX problem, which is widely regarded as the central open question in fair division, and the PMMS problem, a strictly stronger variant of EFX. Our first…

Computer Science and Game Theory · Computer Science 2025-07-31 Jarosław Byrka , Franciszek Malinka , Tomasz Ponitka

We consider the problem of assigning or allocating resources to a set of jobs. We consider the case when the resources are fungible, that is, the job can be done with any mix of the resources, but with different efficiencies. In our…

Optimization and Control · Mathematics 2021-04-20 Akshay Agrawal , Stephen Boyd , Deepak Narayanan , Fiodar Kazhamiaka , Matei Zaharia

We study the multi-party randomized communication complexity of computing a fair allocation of $m$ indivisible goods to $n < m$ equally entitled agents. We first consider MMS allocations, allocations that give every agent at least her…

Computer Science and Game Theory · Computer Science 2024-07-11 Uriel Feige

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

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

Allocating conflicting jobs among individuals while respecting a budget constraint for each individual is an optimization problem that arises in various real-world scenarios. In this paper, we consider the situation where each individual…

Data Structures and Algorithms · Computer Science 2024-02-06 Sushmita Gupta , Pallavi Jain , A. Mohanapriya , Vikash Tripathi

We initiate the study of computing envy-free allocations of indivisible items in the extension setting, i.e., when some part of the allocation is fixed and the task is to allocate the remaining items. Given the known NP-hardness of the…

Computer Science and Game Theory · Computer Science 2025-03-04 Argyrios Deligkas , Eduard Eiben , Robert Ganian , Tiger-Lily Goldsmith , Stavros D. Ioannidis

Which ads should we display in sponsored search in order to maximize our revenue? How should we dynamically rank information sources to maximize the value of the ranking? These applications exhibit strong diminishing returns: Redundancy…

Machine Learning · Computer Science 2014-07-07 Daniel Golovin , Andreas Krause , Matthew Streeter

We develop a framework for the analysis of large-scale Ad-auctions where adverts are assigned over a continuum of search types. For this pay-per-click market, we provide an efficient mechanism that maximizes social welfare. In particular,…

Computer Science and Game Theory · Computer Science 2016-06-03 Frank Kelly , Peter Key , Neil Walton

We study the fair allocation of indivisible items subject to conflict constraints. In this framework, the items are represented as the vertices of a graph, with edges corresponding to conflicts between pairs of items. Each agent is assigned…

Computer Science and Game Theory · Computer Science 2026-05-12 Sarfaraz Equbal , Rohit Gurjar , Ayumi Igarashi , Yatharth Kumar , Pasin Manurangsi , Swaprava Nath , Raghuvansh Saxena , Rohit Vaish , Hirotaka Yoneda

A major problem in fair division is how to allocate a set of indivisible resources among agents fairly and efficiently. The goal of this work is to characterize the tradeoffs between two well-studied measures of fairness and efficiency --…

Computer Science and Game Theory · Computer Science 2024-01-17 Michal Feldman , Simon Mauras , Tomasz Ponitka

We study the allocation of indivisible goods under conflicting constraints, represented by a graph. In this framework, vertices correspond to goods and edges correspond to conflicts between a pair of goods. Each agent is allocated an…

Computer Science and Game Theory · Computer Science 2025-06-18 Ayumi Igarashi , Pasin Manurangsi , Hirotaka Yoneda

Rankings of people and items are at the heart of selection-making, match-making, and recommender systems, ranging from employment sites to sharing economy platforms. As ranking positions influence the amount of attention the ranked subjects…

Information Retrieval · Computer Science 2018-05-07 Asia J. Biega , Krishna P. Gummadi , Gerhard Weikum

Predictive models are often used for real-time decision making. However, typical machine learning techniques ignore feature evaluation cost, and focus solely on the accuracy of the machine learning models obtained utilizing all the features…

Machine Learning · Computer Science 2014-08-19 Leilani Battle , Edward Benson , Aditya Parameswaran , Eugene Wu

Strategic behavior is a fundamental problem in a variety of real-world applications that require some form of peer assessment, such as peer grading of homeworks, grant proposal review, conference peer review of scientific papers, and peer…

Computer Science and Game Theory · Computer Science 2022-08-30 Komal Dhull , Steven Jecmen , Pravesh Kothari , Nihar B. Shah

Access to resources strongly constrains the decisions we make. While we might wish to offer every student a scholarship, or schedule every patient for follow-up meetings with a specialist, limited resources mean that this is not possible.…

Machine Learning · Computer Science 2025-02-11 Sofie Goethals , Eoin Delaney , Brent Mittelstadt , Chris Russell

We study the computational complexity of finding a competitive equilibrium (CE) with chores when agents have linear preferences. CE is one of the most preferred mechanisms for allocating a set of items among agents. CE with equal incomes…

Computer Science and Game Theory · Computer Science 2022-05-24 Bhaskar Ray Chaudhury , Jugal Garg , Peter McGlaughlin , Ruta Mehta
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