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We study the problem of minimizing metric distortion in multi-winner elections, where a committee of size $k$ is selected from a set of candidates based on voters' ordinal preferences. We assume that voters and candidates are embedded on a…

Computer Science and Game Theory · Computer Science 2026-02-18 Negar Babashah , Hasti Karimi , Masoud Seddighin , Golnoosh Shahkarami

Election rules are formal processes that aggregate voters preferences, typically to select a single candidate, called the winner. Most of the election rules studied in the literature require the voters to rank the candidates from the most…

Data Structures and Algorithms · Computer Science 2019-01-31 Matthias Bentert , Piotr Skowron

Recent progress in the large scale mapping of social networks is opening new quantitative windows into the structure of human societies. These networks are largely the result of how we access and utilize information. Here I show that a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Luis M. A. Bettencourt

Impartial selection has recently received much attention within the multi-agent systems community. The task is, given a directed graph representing nominations to the members of a community by other members, to select the member with the…

Computer Science and Game Theory · Computer Science 2022-05-25 Ioannis Caragiannis , George Christodoulou , Nicos Protopapas

We develop methods for estimating the size of hard-to-reach populations from data collected using network-based questions on standard surveys. Such data arise by asking respondents how many people they know in a specific group (e.g., people…

Methodology · Statistics 2015-11-06 Rachael Maltiel , Adrian E. Raftery , Tyler H. McCormick , Aaron J. Baraff

We consider a setting with agents that have preferences over alternatives and are partitioned into disjoint districts. The goal is to choose one alternative as the winner using a mechanism which first decides a representative alternative…

Computer Science and Game Theory · Computer Science 2023-01-10 Aris Filos-Ratsikas , Alexandros A. Voudouris

Voting systems typically treat all voters equally. We argue that perhaps they should not: Voters who have supported good choices in the past should be given higher weight than voters who have supported bad ones. To develop a formal…

Computer Science and Game Theory · Computer Science 2017-03-16 Nika Haghtalab , Ritesh Noothigattu , Ariel D. Procaccia

Since 2004, different research was handling the challenges in the centralized voting systems, e-voting protocols and recently the decentralized voting. So electronic voting puts forward some difficulties regarding the voter anonymity, the…

Computers and Society · Computer Science 2018-03-01 Nazim Faour

We study the problem of selecting a representative committee of $k$ agents from a collection of $n$ agents in a common metric space. This problem is related to choosing $k$ facilities in facility location and $k$-median problems. However,…

Computer Science and Game Theory · Computer Science 2025-10-27 Christopher Jerrett , Elliot Anshelevich

In the apportionment problem, a fixed number of seats must be distributed among parties in proportion to the number of voters supporting each party. We study a generalization of this setting, in which voters can support multiple parties by…

Computer Science and Game Theory · Computer Science 2022-03-31 Markus Brill , Paul Gölz , Dominik Peters , Ulrike Schmidt-Kraepelin , Kai Wilker

In the standard arrovian framework and under the assumption that individual preferences and social outcomes are linear orders on the set of alternatives, we study the rules which satisfy suitable symmetries and obey the majority principle.…

Group Theory · Mathematics 2015-03-16 Daniela Bubboloni , Michele Gori

The election is a classical problem in distributed algorithmic. It aims to design and to analyze a distributed algorithm choosing a node in a graph, here, in a tree. In this paper, a class of randomized algorithms for the election is…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-20 Jean-François Marckert , Nasser Saheb-Djahromi , Akka Zemmari

We study situations where a group of voters need to take a collective decision over a number of public issues, with the goal of getting a result that reflects the voters' opinions in a proportional manner. Our focus is on interconnected…

Computer Science and Game Theory · Computer Science 2025-09-25 Julian Chingoma , Umberto Grandi , Arianna Novaro

Peer reviews, evaluations, and selections are a fundamental aspect of modern science. Funding bodies the world over employ experts to review and select the best proposals from those submitted for funding. The problem of peer selection,…

Computer Science and Game Theory · Computer Science 2019-05-01 Haris Aziz , Omer Lev , Nicholas Mattei , Jeffrey S. Rosenschein , Toby Walsh

Election polls play a critical role in political discussions by probing public opinion and enabling political parties to assess their performance before elections. However, traditional polling methods sometimes fail to predict election…

We show how voting may be viewed naturally from an algebraic perspective by viewing voting profiles as elements of certain well-studied $\mathbb{Q}S_n$-modules. By using only a handful of simple combinatorial objects (e.g., tabloids) and…

Representation Theory · Mathematics 2007-12-19 Zajj Daugherty , Alexander K. Eustis , Gregory Minton , Michael E. Orrison

In real-world elections where voters cast preference ballots, voters often provide only a partial ranking of the candidates. Despite this empirical reality, prior social choice literature frequently analyzes fairness criteria under the…

General Economics · Economics 2024-08-08 Adam Graham-Squire , Matthew I. Jones , David McCune

Direct democracy is often proposed as a possible solution to the 21st-century problems of democracy. However, this suggestion clashes with the size and complexity of 21st-century societies, entailing an excessive cognitive burden on voters,…

Artificial Intelligence · Computer Science 2018-07-11 Umberto Grandi

In an election in which each voter ranks all of the candidates, we consider the head-to-head results between each pair of candidates and form a labeled directed graph, called the margin graph, which contains the margin of victory of each…

Theoretical Economics · Economics 2020-09-08 Matthew Harrison-Trainor

We study the problem of designing multiwinner voting rules that are candidate monotone and proportional. We show that the set of committees satisfying the proportionality axiom of proportionality for solid coalitions is candidate monotone.…

Computer Science and Game Theory · Computer Science 2025-12-05 Jannik Peters