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Student placements under diversity constraints are a common practice globally. This paper addresses the selection of students by a single school under a \emph{one-to-one convention}, where students can belong to multiple types but are…

Computer Science and Game Theory · Computer Science 2024-12-19 Zhaohong Sun , Makoto Yokoo

We introduce Flexible Representative Democracy (FRD), a novel hybrid of Representative Democracy (RD) and Direct Democracy (DD) in which voters can alter the issue-dependent weights of a set of elected representatives. In line with the…

Multiagent Systems · Computer Science 2022-11-17 Ben Abramowitz , Nicholas Mattei

In many real-world applications of machine learning such as recommendations, hiring, and lending, deployed models influence the data they are trained on, leading to feedback loops between predictions and data distribution. The performative…

Machine Learning · Computer Science 2025-11-18 Kun Jin , Tian Xie , Yang Liu , Xueru Zhang

Precision medicine is accelerating rapidly in the field of health research. This includes fitting predictive models for individual patients based on patient similarity in an attempt to improve model performance. We propose an algorithm…

Methodology · Statistics 2025-02-07 Tatiana Krikella , Joel A. Dubin

Real-world social networks have structural inequalities, including the majority and minorities, and fairness-agnostic centrality measures often amplify these inequalities by disproportionately favoring majority nodes. Fairness-Sensitive…

Social and Information Networks · Computer Science 2026-02-03 Mukesh Kumar , Gaurav Dixit , Akrati Saxena

This paper is to obtain a simple dividing-diagram of the congressional districts, where the only limit is that each district should contain the same population if possibly. In order to solve this problem, we introduce three different…

Computers and Society · Computer Science 2007-08-17 Pan Kai , Tan Yue , Jiang Sheng

Allocation of samples in stratified and/or multistage sampling is one of the central issues of sampling theory. In a survey of a population often the constraints for precision of estimators of subpopulations parameters have to be taken care…

Statistics Theory · Mathematics 2015-03-31 Jacek Wesolowski , Robert Wieczorkowski

Rankings of people and items has been highly used in selection-making, match-making, and recommendation algorithms that have been deployed on ranging of platforms from employment websites to searching tools. The ranking position of a…

Social and Information Networks · Computer Science 2021-03-03 Akrati Saxena , George Fletcher , Mykola Pechenizkiy

In the metric distortion problem, a set of voters and candidates lie in a common metric space, and a committee of $k$ candidates must be elected. The objective is to minimize a social cost, defined as a function of the distances between…

Computer Science and Game Theory · Computer Science 2025-10-16 Javier Cembrano , Golnoosh Shahkarami

A population of voters must elect representatives among themselves to decide on a sequence of possibly unforeseen binary issues. Voters care only about the final decision, not the elected representatives. The disutility of a voter is…

Computer Science and Game Theory · Computer Science 2020-06-16 Reshef Meir , Fedor Sandomirskiy , Moshe Tennenholtz

We analyze a little-known property of apportionment methods that captures how allocations scale with the size of the house: specifically, if, for a fixed population distribution, the house size and allocation can be scaled down within the…

General Mathematics · Mathematics 2023-11-14 Michael A. Jones , David McCune , Jennifer M. Wilson

Statistical parity metrics have been widely studied and endorsed in the AI community as a means of achieving fairness, but they suffer from at least two weaknesses. They disregard the actual welfare consequences of decisions and may…

Artificial Intelligence · Computer Science 2024-05-21 Violet Chen , J. N. Hooker , Derek Leben

Population protocols are a relatively novel computational model in which very resource-limited anonymous agents interact in pairs with the goal of computing predicates. We consider the probabilistic version of this model, which naturally…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-20 Vladyslav Melnychuk

We develop an algorithm to train individually fair learning-to-rank (LTR) models. The proposed approach ensures items from minority groups appear alongside similar items from majority groups. This notion of fair ranking is based on the…

Machine Learning · Statistics 2021-03-23 Amanda Bower , Hamid Eftekhari , Mikhail Yurochkin , Yuekai Sun

To recognize and mitigate the harms of generative AI systems, it is crucial to consider whether and how different societal groups are represented by these systems. A critical gap emerges when naively measuring or improving who is…

Computation and Language · Computer Science 2025-11-03 Jennifer Mickel , Maria De-Arteaga , Leqi Liu , Kevin Tian

There has been growing interest in developing optimal individualized treatment rules (ITRs) in various fields, such as precision medicine, business decision-making, and social welfare distribution. The application of ITRs within a societal…

Methodology · Statistics 2025-04-29 Wenhai Cui , Wen Su , Xiaodong Yan , Donglin Zeng , Xingqiu Zhao

The apportionment problem asks how to assign representation to states based on their populations. That is, given census data and a fixed number of seats, how many seats should each state be assigned? Various algorithms exist to solve the…

Probability · Mathematics 2026-03-26 Joseph Cutrone , Tyler C. Wunder

Apportionment assigns indivisible items among groups. By the Balinski-Young theorem, no method can satisfy both house monotonicity and the quota rule. This paper investigates quota violations caused by nonzero allocation constraints, and…

Probability · Mathematics 2026-05-08 Tyler C. Wunder , Joseph Cutrone

AI alignment and participatory design motivate a new democratic design problem: how to collectively choose a decision rule to use repeatedly. We study this problem for linear ranking rules, which repeatedly rank items $x_j$ within batches…

Computer Science and Game Theory · Computer Science 2026-05-14 Carmel Baharav , Niclas Boehmer , Bailey Flanigan , Maximilian T. Wittmann

In multiwinner approval elections with many candidates, voters may struggle to determine their preferences over the entire slate of candidates. It is therefore of interest to explore which (if any) fairness guarantees can be provided under…

Computer Science and Game Theory · Computer Science 2025-10-14 Drew Springham , Edith Elkind , Bart de Keijzer , Maria Polukarov