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Related papers: Fairness and Efficiency in Cake-Cutting with Singl…

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Inspired by the recent COVID-19 pandemic, we study a generalization of the multi-resource allocation problem with heterogeneous demands and Leontief utilities. Unlike existing settings, we allow each agent to specify requirements to only…

Theoretical Economics · Economics 2021-08-16 Steven Yin , Shatian Wang , Lingyi Zhang , Christian Kroer

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

In this paper we study envy-free division problems. The classical approach to such problems, used by David Gale, reduces to considering continuous maps of a simplex to itself and finding sufficient conditions for this map to hit the center…

Algebraic Topology · Mathematics 2021-05-25 Sergey Avvakumov , Roman Karasev

We study fair resource allocation under a connectedness constraint wherein a set of indivisible items are arranged on a path and only connected subsets of items may be allocated to the agents. An allocation is deemed fair if it satisfies…

Computer Science and Game Theory · Computer Science 2021-01-27 Neeldhara Misra , Chinmay Sonar , P. R. Vaidyanathan , Rohit Vaish

In the problem of fully allocating a social endowment of perfectly divisible commodities among a group of agents with multidimensional single-peaked preferences, we study strategy-proof rules that are not Pareto-dominated by other…

Theoretical Economics · Economics 2025-02-26 Agustin G. Bonifacio

We study the fair allocation of indivisible resources among agents. Most prior work focuses on fairness and/or efficiency among agents. However, the allocator, as the resource owner, may also be involved in many scenarios (e.g., government…

Computer Science and Game Theory · Computer Science 2025-06-10 Xiaolin Bu , Zihao Li , Shengxin Liu , Jiaxin Song , Biaoshuai Tao

We consider a one-sided matching problem where agents who are partitioned into disjoint classes and each class must receive fair treatment in a desired matching. This model, proposed by Benabbou et al. [2019], aims to address various…

Computer Science and Game Theory · Computer Science 2025-02-21 Tomohiko Yokoyama , Ayumi Igarashi

A well-regarded fairness notion when dividing indivisible chores is envy-freeness up to one item (EF1), which requires that pairwise envy can be eliminated by the removal of a single item. While an EF1 and Pareto optimal (PO) allocation of…

Computer Science and Game Theory · Computer Science 2025-05-16 Hadi Hosseini , Joshua Kavner , Tomasz Wąs , Lirong Xia

Allocating multiple scarce items across a set of individuals is an important practical problem. In the case of divisible goods and additive preferences a convex program can be used to find the solution that maximizes Nash welfare (MNW). The…

Computer Science and Game Theory · Computer Science 2019-09-25 Christian Kroer , Alexander Peysakhovich

In the Seat Arrangement problem the goal is to allocate agents to vertices in a graph such that the resulting arrangement is optimal or fair in some way. Examples include an arrangement that maximises utility or one where no agent envies…

Data Structures and Algorithms · Computer Science 2026-01-27 José Rodríguez

Cake-cutting is a playful name for the fair division of a heterogeneous, divisible good among agents, a well-studied problem at the intersection of mathematics, economics, and artificial intelligence. The cake-cutting literature is rich and…

Computer Science and Game Theory · Computer Science 2023-11-23 Peter Kern , Daniel Neugebauer , Jörg Rothe , René L. Schilling , Dietrich Stoyan , Robin Weishaupt

We consider the problem of allocating indivisible objects to agents when agents have strict preferences over objects. There are inherent trade-offs between competing notions of efficiency, fairness and incentives in assignment mechanisms.…

Theoretical Economics · Economics 2020-11-02 Priyanka Shende , Manish Purohit

In the multidimensional stable roommate problem, agents have to be allocated to rooms and have preferences over sets of potential roommates. We study the complexity of finding good allocations of agents to rooms under the assumption that…

Computer Science and Game Theory · Computer Science 2020-05-01 Niclas Boehmer , Edith Elkind

We study the problem of fair and efficient allocation of a set of indivisible chores to agents with additive cost functions. We consider the popular fairness notion of envy-freeness up to one good (EF1) with the efficiency notion of…

Computer Science and Game Theory · Computer Science 2021-10-20 Jugal Garg , Aniket Murhekar , John Qin

Envy-freeness up to any good (EFX) provides a strong and intuitive guarantee of fairness in the allocation of indivisible goods. But whether such allocations always exist or whether they can be efficiently computed remains an important open…

Computer Science and Game Theory · Computer Science 2020-12-16 Hadi Hosseini , Sujoy Sikdar , Rohit Vaish , Lirong Xia

Recommender systems are facing scrutiny because of their growing impact on the opportunities we have access to. Current audits for fairness are limited to coarse-grained parity assessments at the level of sensitive groups. We propose to…

Machine Learning · Computer Science 2023-03-07 Virginie Do , Sam Corbett-Davies , Jamal Atif , Nicolas Usunier

Envy-Freeness is one of the most fundamental and important concepts in fair allocation. Some recent studies have focused on the concept of weighted envy-freeness. Under this concept, each agent is assigned a weight, and their valuations are…

Computer Science and Game Theory · Computer Science 2025-05-09 Yuxi Liu , Mingyu Xiao

In priority-based matching, serial dictatorship (SD) is simple, strategyproof, and Pareto efficient, but not free of justified envy (i.e. fair). This paper studies how to fairly order agents in SD as a function of their priorities. I show…

Theoretical Economics · Economics 2026-03-09 Adam Hamdan

Neural networks have shown state-of-the-art performance in designing auctions, where the network learns the optimal allocations and payment rule to ensure desirable properties. Motivated by the same, we focus on learning fair division of…

Computer Science and Game Theory · Computer Science 2021-12-13 Shaily Mishra , Manisha Padala , Sujit Gujar

Fairness and efficiency have become the pillars of modern fair division research, but prior work on achieving both simultaneously is largely limited to the unconstrained setting. We study fair and efficient allocations of indivisible goods…

Computer Science and Game Theory · Computer Science 2024-11-04 Benjamin Cookson , Soroush Ebadian , Nisarg Shah