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Related papers: The Schulze Method of Voting

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The major finding, of this article, is an ensemble method, but more exactly, a novel, better ranked voting system (and other variations of it), that aims to solve the problem of finding the best candidate to represent the voters. We have…

Artificial Intelligence · Computer Science 2021-10-15 Gabriel-Claudiu Grama

Consider an election between two candidates in which the voters' choices are random and independent and the probability of a voter choosing the first candidate is $p>1/2$. Condorcet's Jury Theorem which he derived from the weak law of large…

Probability · Mathematics 2007-05-23 Olle Haggstrom , Gil Kalai , Elchanan Mossel

We study the setting of single-winner elections with ordinal preferences where candidates might be members of \emph{alliances} (which may correspond to e.g., political parties, factions, or coalitions). However, we do not assume that…

Computer Science and Game Theory · Computer Science 2024-01-30 Grzegorz Pierczyński , Stanisław Szufa

Voting is a very general method of preference aggregation. A voting rule takes as input every voter's vote (typically, a ranking of the alternatives), and produces as output either just the winning alternative or a ranking of the…

Computer Science and Game Theory · Computer Science 2012-07-09 Vincent Conitzer , Tuomas Sandholm

Purpose: Multiwinner voting rules typically require full knowledge of voter preferences, which becomes impractical in large-scale or attention-limited settings. This paper investigates how accurately a winning committee can be approximated…

Computer Science and Game Theory · Computer Science 2026-04-01 Itay Asher Zimet , Shiri Alouf-Heffetz , Nimrod Talmon

Studying the computational complexity and designing fast algorithms for determining winners under voting rules are classical and fundamental questions in computational social choice. In this paper, we accelerate voting by leveraging quantum…

Computers and Society · Computer Science 2023-06-12 Ao Liu , Qishen Han , Lirong Xia , Nengkun Yu

Proportional representation (PR) is often discussed in voting settings as a major desideratum. For the past century or so, it is common both in practice and in the academic literature to jump to single transferable vote (STV) as the…

Computer Science and Game Theory · Computer Science 2018-06-05 Haris Aziz , Barton Lee

We provide novel simple representations of strategy-proof voting rules when voters have uni-dimensional single-peaked preferences (as well as multi-dimensional separable preferences). The analysis recovers, links and unifies existing…

Computer Science and Game Theory · Computer Science 2022-06-17 Andrew Jennings , Rida Laraki , Clemens Puppe , Estelle Varloot

In this paper we study several monotonicity axioms in approval-based multi-winner voting rules. We consider monotonicity with respect to the support received by the winners and also monotonicity in the size of the committee. Monotonicity…

Computer Science and Game Theory · Computer Science 2019-02-25 Luis Sánchez-Fernández , Jesús A. Fisteus

The Possible Winner problem asks, given an election where the voters' preferences over the candidates are specified only partially, whether a designated candidate can become a winner by suitably extending all the votes. Betzler and Dorn [1]…

Computational Complexity · Computer Science 2011-11-29 Dorothea Baumeister , Joerg Rothe

We study the probability that a given candidate is an alpha-winner, i.e. a candidate preferred to each other candidate j by a fraction alpha_j of the voters. This extends the classical notion of Condorcet winner, which corresponds to the…

Computer Science and Game Theory · Computer Science 2025-05-12 Emma Caizergues , François Durand , Marc Noy , Élie de Panafieu , Vlady Ravelomanana

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

Elections and opinion polls often have many candidates, with the aim to either rank the candidates or identify a small set of winners according to voters' preferences. In practice, voters do not provide a full ranking; instead, each voter…

Computer Science and Game Theory · Computer Science 2019-08-16 Nikhil Garg , Lodewijk Gelauff , Sukolsak Sakshuwong , Ashish Goel

We present the core support criterion, a voting criterion satisfied by Instant Runoff Voting (IRV) that is analogous to the Condorcet criterion but reflective of a different majority rule philosophy. Condorcet methods can be thought of as…

Theoretical Economics · Economics 2024-07-12 Ross Hyman , Deb Otis , Seamus Allen , Greg Dennis

We present a model for quantitatively identifying swing voters in congressional elections. This is achieved by predicting an individual voter's likelihood to vote and an individual voter's likelihood to vote for a given party, if he votes.…

Physics and Society · Physics 2014-05-21 Steven Ambadjes

Fairness in multiwinner elections, a growing line of research in computational social choice, primarily concerns the use of constraints to ensure fairness. Recent work proposed a model to find a diverse \emph{and} representative committee…

Computer Science and Game Theory · Computer Science 2022-11-28 Kunal Relia

A new game-theoretic approach for combining multiple classifiers is proposed. A short introduction in Game Theory and coalitions illustrate the way any collective decision scheme can be viewed as a competitive game of coalitions that are…

Computer Science and Game Theory · Computer Science 2015-02-10 Harris V. Georgiou

The important Kemeny problem, which consists of computing median consensus rankings of an election with respect to the Kemeny voting rule, admits important applications in biology and computational social choice and was generalized recently…

Computer Science and Game Theory · Computer Science 2023-05-01 Xuan Kien Phung , Sylvie Hamel

In this paper, a new method of detection of election fraud is proposed. This method is based on the calculation of the ratio of two standard normal random variables; estimation of parameters of obtained sample and comparison of these…

Methodology · Statistics 2022-09-20 Ivan H. Krykun

We propose the maximin support method, a novel extension of the D'Hondt apportionment method to approval-based multiwinner elections. The maximin support method is based on maximizing the support of the least supported elected candidate. It…

Computer Science and Game Theory · Computer Science 2018-09-07 Luis Sánchez-Fernández , Norberto Fernández , Jesús A. Fisteus , Markus Brill