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Classical spatial models of two-party competition typically predict convergence to the median voter, yet real-world party systems often exhibit persistent and asymmetric polarization. We develop a spatial model of two-party competition in…

Physics and Society · Physics 2026-01-13 Daniel Miranda Machado , Roberto Venegeroles

Political polarization can be beneficial to competing political parties. I study how electoral competition itself generates incentives to polarize voters, even when parties are ex ante identical and motivated purely by political power,…

General Economics · Economics 2026-02-02 Giampaolo Bonomi

Defying the median voter theorem, party polarization has spread globally, especially in the United States. As concerns grow over its risks to democracy, political science has probed its causes, revealing two paradoxes: while polarization…

Physics and Society · Physics 2025-05-29 Roberto Venegeroles

The median voter theorem has long been the default model of voter behavior and candidate choice. While contemporary work on the distribution of political opinion has emphasized polarization and an increasing gap between the "left" and the…

Physics and Society · Physics 2021-03-25 Matthew I. Jones , Antonio D. Sirianni , Feng Fu

The median-voter hypothesis predicts convergence of party platforms across a one-dimensional political spectrum during majoritarian elections. Assuming that the convergence is reflected in legislative activity, we study the time evolution…

Physics and Society · Physics 2022-03-29 Jonghoon Kim , Seung Ki Baek

In the traditional voting manipulation literature, it is assumed that a group of manipulators jointly misrepresent their preferences to get a certain candidate elected, while the remaining voters are truthful. In this paper, we depart from…

Computer Science and Game Theory · Computer Science 2010-01-28 Yvo Desmedt , Edith Elkind

The Hotelling-Downs model considers parties changing policy to maximise their vote-share. Where policy position lies on a left-right axis, it describes a tendency for political parties to move towards centrist platforms. This is in contrast…

Physics and Society · Physics 2026-05-12 Christopher Campbell , Graeme J. Ackland

This paper revisits the limitations of the Median Voter Theorem and introduces a novel framework to analyze the optimal economic ideological positions of political parties. By incorporating Nash equilibrium, we examine the mechanisms and…

General Economics · Economics 2025-02-11 Shitong Wang

In a country with many elections, it may prove economically expedient to hold multiple elections simultaneously on a common polling date. We show that in a polarized society, in which each voter has a preferred party, an increase in the…

Probability · Mathematics 2025-04-29 Pradeep Dubey , Siddhartha Sahi

We study strategic candidate nomination by parties in elections decided by Plurality voting. Each party selects a nominee before the election, and the winner is chosen from the nominated candidates based on the voters' preferences. We…

Computer Science and Game Theory · Computer Science 2025-11-17 Piotr Faliszewski , Stanislaw Kazmierowski , Grzegorz Lisowski , Ildiko Schlotter , Paolo Turrini

Politics around the world exhibits increasing polarization, demonstrated in part by rigid voting configurations in institutions like legislatures or courts. A crux of polarization is separation along a unidimensional ideological axis, but…

Physics and Society · Physics 2025-12-12 Edward D. Lee

We consider a two-round election model involving $m$ voters and $n$ candidates. Each voter is endowed with a strict preference list ranking the candidates. In the first round, the candidates are partitioned into two subsets, $A$ and $B$,…

Computer Science and Game Theory · Computer Science 2026-03-17 Emilio De Santis , Antonio Di Crescenzo , Verdiana Mustaro

The controversies around the 2020 US presidential elections certainly casts serious concerns on the efficiency of the current voting system in representing the people's will. Is the naive Plurality voting suitable in an extremely polarized…

Theoretical Economics · Economics 2023-05-10 Karthik H. Shankar

This paper introduces a definition of ideological polarization of an electorate around a particular central point. By being flexible about the location or width of the center, this measure enables the researcher to analyze polarization…

General Economics · Economics 2025-07-11 Boris Ginzburg

We present an alternative voting system that aims at bridging the gap between proportional representative systems and majoritarian, single winner election systems. The system lets people vote for multiple parties, but then assigns each…

Computer Science and Game Theory · Computer Science 2016-12-01 Pietro Speroni di Fenizio , Daniele A. Gewurz

Research on the causes of political polarization points towards multiple drivers of the problem, from social and psychological to economic and technological. However, political institutions stand out, because -- while capable of…

Physics and Society · Physics 2026-02-10 Daria Boratyn , Dariusz Stolicki

The simplified hypothesis that an election is polarized as an explanation of recent electoral outcomes worldwide is centered on perceptions of voting patterns rather than ideological data from the electorate. While the literature focuses on…

Computers and Society · Computer Science 2024-07-30 Carlos Navarrete , Mariana Macedo , Viktor Stojkoski , Marcela Parada-Contzen , Christopher A Martínez

We study how electoral rules shape polarization dynamics when voters and candidates both adapt to repeated election outcomes. We introduce two geometric primitives for comparing rules under this feedback: the \emph{winner radius} $R_t =…

Computer Science and Game Theory · Computer Science 2026-04-23 Sumit Mukherjee

The metric distortion framework posits that n voters and m candidates are jointly embedded in a metric space such that voters rank candidates that are closer to them higher. A voting rule's purpose is to pick a candidate with minimum total…

Computer Science and Game Theory · Computer Science 2023-07-03 Fatih Erdem Kizilkaya , David Kempe

Political polarization is perceived as a threat to democracies. Using the Galam model of opinion dynamics deployed in a five-dimensional parameter space, I show that polarization is the byproduct of an essential hallmark of a vibrant…

Physics and Society · Physics 2023-07-19 Serge Galam
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