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In many practical scenarios, a population is divided into disjoint groups for better administration, e.g., electorates into political districts, employees into departments, students into school districts, and so on. However, grouping people…

Social and Information Networks · Computer Science 2019-09-13 Ana-Andreea Stoica , Abhijnan Chakraborty , Palash Dey , Krishna P. Gummadi

We study the problem of fairly allocating indivisible goods to groups of agents. Agents in the same group share the same set of goods even though they may have different preferences. Previous work has focused on unanimous fairness, in which…

Computer Science and Game Theory · Computer Science 2020-01-01 Erel Segal-Halevi , Warut Suksompong

Efficient and equitable access to municipal services hinges on well-designed administrative divisions. It requires ongoing adaptation to changing demographics, infrastructure, and economic factors. This article proposes a novel transparent…

Data Structures and Algorithms · Computer Science 2025-10-13 Peteris Daugulis

In energy system analysis, coupling models with mismatched spatial resolutions is a significant challenge. A common solution is assigning weights to high-resolution geographic units for aggregation, but traditional models are limited by…

Machine Learning · Computer Science 2026-03-20 Xuanhao Mu , Jakob Geiges , Nan Liu , Thorsten Schlachter , Veit Hagenmeyer

We model the societal task of redistricting political districts as a partitioning problem: Given a set of $n$ points in the plane, each belonging to one of two parties, and a parameter $k$, our goal is to compute a partition $\Pi$ of the…

Data Structures and Algorithms · Computer Science 2021-12-16 Pankaj K. Agarwal , Shao-Heng Ko , Kamesh Munagala , Erin Taylor

In the recently introduced model of fair partitioning of friends, there is a set of agents located on the vertices of an underlying graph that indicates the friendships between the agents. The task is to partition the graph into $k$…

Computer Science and Game Theory · Computer Science 2025-03-17 Argyrios Deligkas , Eduard Eiben , Stavros D. Ioannidis , Dušan Knop , Šimon Schierreich

Diversity plays a crucial role in multiple contexts such as team formation, representation of minority groups and generally when allocating resources fairly. Given a community composed by individuals of different types, we study the problem…

Discrete Mathematics · Computer Science 2021-07-13 Sebastian Perez-Salazar , Alfredo Torrico , Victor Verdugo

Let $G=(V,E)$ be a graph with unit-length edges and nonnegative costs assigned to its vertices. Being given a list of pairwise different vertices $S=(s_1,s_2,\ldots,s_p)$, the {\em prioritized Voronoi diagram} of $G$ with respect to $S$ is…

Data Structures and Algorithms · Computer Science 2022-11-08 Guillaume Ducoffe

The study of fair algorithms has become mainstream in machine learning and artificial intelligence due to its increasing demand in dealing with biases and discrimination. Along this line, researchers have considered fair versions of…

Data Structures and Algorithms · Computer Science 2023-01-11 Sayan Bandyapadhyay , Fedor V. Fomin , Tanmay Inamdar , Kirill Simonov

Fueled by algorithmic advances, AI algorithms are increasingly being deployed in settings subject to unanticipated challenges with complex social effects. Motivated by real-world deployment of AI driven, social-network based suicide…

Optimization and Control · Mathematics 2020-06-15 Aida Rahmattalabi , Phebe Vayanos , Anthony Fulginiti , Eric Rice , Bryan Wilder , Amulya Yadav , Milind Tambe

There is arbitrariness in optimum solutions of graph-theoretic problems that can give rise to unfairness. Incorporating fairness in such problems, however, can be done in multiple ways. For instance, fairness can be defined on an individual…

Optimization and Control · Mathematics 2023-11-28 Christopher Hojny , Frits Spieksma , Sten Wessel

Real-life tools for decision-making in many critical domains are based on ranking results. With the increasing awareness of algorithmic fairness, recent works have presented measures for fairness in ranking. Many of those definitions…

Machine Learning · Computer Science 2023-07-10 Jinyang Li , Yuval Moskovitch , H. V. Jagadish

Partisan gerrymandering poses a threat to democracy. Moreover, the complexity of the districting task may exceed human capacities. One potential solution is using computational models to automate the districting process by optimizing…

Computers and Society · Computer Science 2020-06-30 Olivia Guest , Frank J. Kanayet , Bradley C. Love

A challenge in fair algorithm design is that, while there are compelling notions of individual fairness, these notions typically do not satisfy desirable composition properties, and downstream applications based on fair classifiers might…

Data Structures and Algorithms · Computer Science 2022-04-07 Konstantina Bairaktari , Paul Langton , Huy L. Nguyen , Niklas Smedemark-Margulies , Jonathan Ullman

We study the problem of a partisan gerrymanderer who assigns voters to equipopulous districts so as to maximize his party's expected seat share. The designer faces both aggregate uncertainty (how many votes his party will receive) and…

Theoretical Economics · Economics 2023-04-20 Anton Kolotilin , Alexander Wolitzky

This paper presents a novel mechanism to endogenously determine the fair division of a state into electoral districts in a two-party setting. No geometric constraints are imposed on voter distributions or district shapes; instead, it is…

Computer Science and Game Theory · Computer Science 2019-01-07 Jamie Tucker-Foltz

Forming the right combination of students in a group promises to enable a powerful and effective environment for learning and collaboration. However, defining a group of students is a complex task which has to satisfy multiple constraints.…

Machine Learning · Computer Science 2023-01-25 Alexander Jenkins , Imad Jaimoukha , Ljubisa Stankovic , Danilo Mandic

The issue of fairness in machine learning stems from the fact that historical data often displays biases against specific groups of people which have been underprivileged in the recent past, or still are. In this context, one of the…

Machine Learning · Computer Science 2022-01-19 Mattia Cerrato , Marius Köppel , Alexander Segner , Stefan Kramer

Redistricting is the problem of dividing a state into a number $k$ of regions, called districts. Voters in each district elect a representative. The primary criteria are: each district is connected, district populations are equal (or nearly…

Data Structures and Algorithms · Computer Science 2020-09-02 Vincent Cohen-Addad , Philip N. Klein , Dániel Marx

We study the probabilistic assignment of items to platforms that satisfies both group and individual fairness constraints. Each item belongs to specific groups and has a preference ordering over platforms. Each platform enforces group…

Artificial Intelligence · Computer Science 2024-05-13 Atasi Panda , Anand Louis , Prajakta Nimbhorkar
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