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In participatory budgeting (PB), voters decide through voting which subset of projects to fund within a given budget. Proportionality in the context of PB is crucial to ensure equal treatment of all groups of voters. However, pure…

Computer Science and Game Theory · Computer Science 2025-07-08 Georgios Papasotiropoulos , Seyedeh Zeinab Pishbin , Oskar Skibski , Piotr Skowron , Tomasz Wąs

We introduces a general linear framework that unifies the study of multi-winner voting rules and proportionality axioms, demonstrating that many prominent multi-winner voting rules-including Thiele methods, their sequential variants, and…

Computer Science and Game Theory · Computer Science 2025-03-06 Lirong Xia

Voting rules based on evaluation inputs rather than preference orders have been recently proposed, like majority judgement, range voting or approval voting. Traditionally, probabilistic analysis of voting rules supposes the use of…

Artificial Intelligence · Computer Science 2021-04-19 Antoine Rolland , Jean-Baptiste Aubin , Irène Gannaz , Samuela Leoni

Electing a committee of size k from m alternatives (k < m) is an interesting problem under the multi-winner voting rules. However, very few committee selection rules found in the literature consider the coalitional possibilities among the…

Theoretical Economics · Economics 2023-08-08 Ritu Dutta , Rajnish Kumnar , Surajit Borkotokey

The basic idea of voting protocols is that nodes query a sample of other nodes and adjust their own opinion throughout several rounds based on the proportion of the sampled opinions. In the classic model, it is assumed that all nodes have…

Probability · Mathematics 2021-01-28 Abraham Gutierrez , Sebastian Müller , Stjepan Šebek

The notion of the voting power is illustrated by examples of the systems of voting in the European Council according to the Treaty of Nice and the more recent proposition of the European Convent. We show that both systems are not…

Other Condensed Matter · Physics 2007-05-23 Karol Zyczkowski , Wojciech Slomczynski

In this paper we address the problem of electing a committee among a set of $m$ candidates and on the basis of the preferences of a set of $n$ voters. We consider the approval voting method in which each voter can approve as many candidates…

Optimization and Control · Mathematics 2017-07-31 Diego Ponce , Justo Puerto , Federica Ricca , Andrea Scozzari

In social choice there often arises a conflict between the majority principle (the search for a candidate that is as good as possible for as many voters as possible), and the protection of minority rights (choosing a candidate that is not…

Computer Science and Game Theory · Computer Science 2023-04-06 Egor Ianovski , Aleksei Y. Kondratev

Coalitional manipulation in voting is considered to be any scenario in which a group of voters decide to misrepresent their vote in order to secure an outcome they all prefer to the first outcome of the election when they vote honestly. The…

Theoretical Economics · Economics 2020-09-28 Mostapha Diss , Boris Tsvelikhovskiy

A voting center is in charge of collecting and aggregating voter preferences. In an iterative process, the center sends comparison queries to voters, requesting them to submit their preference between two items. Voters might discuss the…

Computers and Society · Computer Science 2019-09-24 Lihi Dery , Svetlana Obraztsova , Zinovi Rabinovich , Meir Kalech

Apportionment is the act of distributing the seats of a legislature among political parties (or states) in proportion to their vote shares (or populations). A famous impossibility by Balinski and Young (2001) shows that no apportionment…

Computer Science and Game Theory · Computer Science 2024-05-07 José Correa , Paul Gölz , Ulrike Schmidt-Kraepelin , Jamie Tucker-Foltz , Victor Verdugo

The first observation of the paper is that methods for determining proportional representation in electoral systems may be suitable as alternatives to the pro-rata order matching algorithm used in stock exchanges. The main part of our work…

General Economics · Economics 2023-11-08 Sanjay Bhattacherjee , Palash Sarkar

A Ranked candidate voting method based on Phragmen's procedure is described that can be used to produce a top-down proportional candidate list. The method complies with the Droop proportionality criterion satisfied by Single Transferable…

Theoretical Economics · Economics 2026-04-14 Ross Hyman

Election data represent a precious source of information to study human behavior at a large scale. In proportional elections with open lists, the number of votes received by a candidate, rescaled by the average performance of all…

Physics and Society · Physics 2013-01-25 Arnab Chatterjee , Marija Mitrović , Santo Fortunato

When voter preferences are known in an incomplete (partial) manner, winner determination is commonly treated as the identification of the necessary and possible winners; these are the candidates who win in all completions or at least one…

Computer Science and Game Theory · Computer Science 2020-02-24 Aviram Imber , Benny Kimelfeld

We propose an e-voting protocol that seems to allow citizens to verify that their vote has been accurately taken into account while preserving its secrecy, without requiring the use of a complex process. The main idea is to give each voter…

Computers and Society · Computer Science 2008-08-19 Frederic Connes

People care about decision outcomes and how decisions get made, both when making decisions and reflecting on decisions. But formalizing the full range of normative concerns that drive decisions is an open challenge. We introduce Axiomatic…

Artificial Intelligence · Computer Science 2026-02-11 Ben Abramowitz , Nicholas Mattei

A "repeat voting" procedure is proposed, whereby voting is carried out in two identical rounds. Every voter can vote in each round, the results of the first round are made public before the second round, and the final result is determined…

Theoretical Economics · Economics 2022-11-30 Sergiu Hart

To choose a suitable multiwinner voting rule is a hard and ambiguous task. Depending on the context, it varies widely what constitutes the choice of an ``optimal'' subset of alternatives. In this paper, we provide a quantitative analysis of…

Multiagent Systems · Computer Science 2020-09-01 Martin Lackner , Piotr Skowron

Voting algorithms have been widely used as consensus protocols in the realization of fault-tolerant systems. These algorithms are best suited for distributed systems of nodes with low computational power or heterogeneous networks, where…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-16 Sebastian Müller , Andreas Penzkofer , Darcy Camargo , Olivia Saa
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