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Related papers: Envy-Free School Redistricting Between Two Groups

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Envy-freeness and the relaxation to Envy-freeness up to one item (EF-1) have been used as fairness concepts in the economics, game theory, and social choice literatures since the 1960s, and have recently gained popularity within the…

Information Retrieval · Computer Science 2025-09-12 Amanda Aird , Ben Armstrong , Nicholas Mattei , Robin Burke

We revisit the setting of fairly allocating indivisible items when agents have different weights representing their entitlements. First, we propose a parameterized family of relaxations for weighted envy-freeness and the same for weighted…

Computer Science and Game Theory · Computer Science 2024-09-10 Mithun Chakraborty , Erel Segal-Halevi , Warut Suksompong

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 2025-02-25 Noga Klein Elmalem , Rica Gonen , Erel Segal-Halevi

We study fair division of indivisible mixed manna (items whose values may be positive, negative, or zero) among agents with additive valuations. Here, we establish that fairness -- in terms of a relaxation of envy-freeness -- and Pareto…

Computer Science and Game Theory · Computer Science 2025-10-16 Siddharth Barman , Vishwa Prakash HV , Aditi Sethia , Mashbat Suzuki

Recently, Landau, Reid and Yershov provided a novel solution to the problem of redistricting. Instead of trying to ensure fairness by restricting the shape of the possible maps or by assigning the power to draw the map to nonbiased…

Computer Science and Game Theory · Computer Science 2023-09-04 Zeph Landau , Francis Edward Su

Students' decisions on whether to take a class are strongly affected by whether their friends plan to take the class with them. A student may prefer to be assigned to a course they likes less, just to be with their friends, rather than…

Artificial Intelligence · Computer Science 2023-09-19 Ilya Khakhiashvili , Lihi Dery , Tal Grinshpoun

We study the fair division of a collection of $m$ indivisible goods amongst a set of $n$ agents. Whilst envy-free allocations typically do not exist in the indivisible goods setting, envy-freeness can be achieved if some amount of a…

Computer Science and Game Theory · Computer Science 2019-12-06 Johannes Brustle , Jack Dippel , Vishnu V. Narayan , Mashbat Suzuki , Adrian Vetta

We consider the complexity of finding envy-free allocations for the class of graphical valuations. Graphical valuations were introduced by Christodoulou et. al.(2023) as a structured class of valuations that admit allocations that are…

Computer Science and Game Theory · Computer Science 2024-10-21 Neeldhara Misra , Aditi Sethia

We study resource allocation in two-sided markets from a fundamental perspective and introduce a general modeling and algorithmic framework to effectively incorporate the complex and multidimensional aspects of fairness. Our main technical…

Computer Science and Game Theory · Computer Science 2025-06-03 Javier Cembrano , Andrés Moraga , Victor Verdugo

While much of the rapidly growing literature on fair decision-making focuses on metrics for one-shot decisions, recent work has raised the intriguing possibility of designing sequential decision-making to positively impact long-term social…

Machine Learning · Statistics 2024-07-11 Bhagyashree Puranik , Ozgur Guldogan , Upamanyu Madhow , Ramtin Pedarsani

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

We study the classic problem of fairly dividing a heterogeneous and divisible resource -- represented by a cake, $[0,1]$ -- among $n$ agents. This work considers an interesting variant of the problem where agents are embedded on a graph.…

Computer Science and Game Theory · Computer Science 2022-11-16 Ganesh Ghalme , Xin Huang , Nidhi Rathi

We study the problem of Envy-Free Incomplete Connected Fair Division, where exactly p vertices of an undirected graph must be allocated to agents such that each agent receives a connected share and does not envy another agent's share.…

Data Structures and Algorithms · Computer Science 2025-12-30 Ajaykrishnan E S , Daniel Lokshtanov

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

We investigate Ekici (2024b)'s multi-center allocation problems, focusing on fairness in this context. We introduce three fairness notions that respect centers' priorities: internal fairness, external fairness, and procedural fairness. The…

Theoretical Economics · Economics 2026-03-03 Yao Cheng , Di Feng

In fair division of indivisible goods, using sequences of sincere choices (or picking sequences) is a natural way to allocate the objects. The idea is as follows: at each stage, a designated agent picks one object among those that remain.…

Artificial Intelligence · Computer Science 2018-08-01 Aurélie Beynier , Sylvain Bouveret , Michel Lemaître , Nicolas Maudet , Simon Rey

We study best-of-both-worlds guarantees for the fair division of indivisible items among agents with subadditive valuations. Our main result establishes the existence of a random allocation that is simultaneously ex-ante…

Computer Science and Game Theory · Computer Science 2023-04-10 Michal Feldman , Simon Mauras , Vishnu V. Narayan , Tomasz Ponitka

Cake cutting is a classic model for studying fair division of a heterogeneous, divisible resource among agents with individual preferences. Addressing cake division under a typical requirement that each agent must receive a connected piece…

Computer Science and Game Theory · Computer Science 2023-04-28 Siddharth Barman , Pooja Kulkarni

We study the problem of dividing a multi-layered cake under non-overlapping constraints. This problem, recently proposed by Hosseini et al. (IJCAI, 2020), captures several natural scenarios such as the allocation of multiple facilities over…

Computer Science and Game Theory · Computer Science 2022-12-22 Ayumi Igarashi , Frédéric Meunier

Massive surges of enrollments in courses have led to a crisis in several computer science departments - not only is the demand for certain courses extremely high from majors, but the demand from non-majors is also very high. Much of the…

Data Structures and Algorithms · Computer Science 2026-02-26 Arpita Biswas , Yiduo Ke , Samir Khuller , Quanquan C. Liu