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The study of complex political phenomena such as parties' polarization calls for mathematical models of political systems. In this paper, we aim at modeling the time evolution of a political system whereby various parties selfishly interact…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Nicolas Lanzetti , Joudi Hajar , Florian Dörfler

Polarization, defined as the emergence of sharply divided groups with opposing and often extreme views, is an increasingly prominent feature of modern societies. While many studies analyze this phenomenon in the context of single issues,…

Evolutionary societal changes often prompt a debate. The positions of the two major political parties in the United States on civil rights issues underwent a reversal in the 20th century. The conventional view holds that this shift was a…

Applications · Statistics 2025-02-26 Nuannuan Xiang , Yuki Shiraito

The challenge of understanding the collective behaviors of social systems can benefit from methods and concepts from physics [1-6], not because humans are similar to electrons, but because certain large-scale behaviors can be understood…

Physics and Society · Physics 2020-08-20 Alexander Siegenfeld , Yaneer Bar-Yam

There is growing evidence of systematic attempts to influence democratic elections by controlled and digitally organized dissemination of fake news. This raises the question of the intrinsic robustness of democratic electoral processes…

Physics and Society · Physics 2024-01-03 Glory M. Givi , Robin Delabays , Matthieu Jacquemet , Philippe Jacquod

Over the years, American politics have become increasingly polarized. In the current political landscape, a president cannot easily collaborate with the opposite party and pass legislature. Ideologies between parties have drifted apart to…

Social and Information Networks · Computer Science 2015-03-27 Pandya George

This study examines the relationship between ambiguity and the ideological positioning of political parties across the political spectrum. We identify a strong non-monotonic (inverted U-shaped) relationship between party ideology and…

General Economics · Economics 2024-03-21 Hector Galindo-Silva

Could John Kerry have gained votes in the 2004 Presidential election by more clearly distinguishing himself from George Bush on economic policy? At first thought, the logic of political preferences would suggest not: the Republicans are to…

Applications · Statistics 2013-12-10 Andrew Gelman , Cexun Jeffrey Cai

The form of political polarization where citizens develop strongly negative attitudes towards out-party policies and members has become increasingly prominent across many democracies. Economic hardship and social inequality, as well as…

General Economics · Economics 2022-10-12 Alexander J. Stewart , Joshua B. Plotkin , Nolan McCarty

This paper introduces a definition of ideological polarization of an electorate around a particular central point. The definition is flexible about the location or boundaries of the center. Using US survey data, the paper shows how this…

General Economics · Economics 2024-11-27 Boris Ginzburg

Changes in political geography and electoral district boundaries shape representation in the United States Congress. To disentangle the effects of geography and gerrymandering, we generate a large ensemble of alternative redistricting plans…

Democracy often fails to meet its ideals, and these failures may be made worse by electoral institutions. Unwanted outcomes include polarized institutions, unresponsive representatives, and the ability of a faction of voters to gain power…

General Economics · Economics 2022-10-12 Samuel S. -H. Wang , Jonathan Cervas , Bernard Grofman , Keena Lipsitz

Political polarization has become a growing concern in democratic societies, as it drives tribal alignments and erodes civic deliberation among citizens. Given its prevalence across different countries, previous research has sought to…

Physics and Society · Physics 2024-07-01 Federico Zimmerman , Lucía Pedraza , Joaquín Navajas , Pablo Balenzuela

We study the United States Congress by constructing networks between Members of Congress based on the legislation that they cosponsor. Using the concept of modularity, we identify the community structure of Congressmen, as connected via…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 Yan Zhang , A. J. Friend , Amanda L. Traud , Mason A. Porter , James H. Fowler , Peter J. Mucha

Using the recently introduced declination function, we estimate the net number of seats won in the US House of Representatives due to asymmetries in vote distributions. Such asymmetries can arise from combinations of partisan gerrymandering…

Applications · Statistics 2017-08-09 Jeffrey S. Buzas , Gregory S. Warrington

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

Recent empirical findings suggest that societies have become more polarized in various countries. That is, the median voter of today represents a smaller fraction of society compared to two decades ago and yet, the mechanisms underlying…

Physics and Society · Physics 2020-01-15 Lucas Böttcher , Pedro Montealegre , Eric Goles , Hans Gersbach

Political moderation, a key attractor in democratic systems, proves highly fragile under realistic information conditions. We develop a stochastic model of opinion dynamics to analyze how noise and differential susceptibility reshape the…

Physics and Society · Physics 2026-01-23 Renato Vieira dos Santos

Social media platforms play a pivotal role in shaping public opinion and amplifying political discourse, particularly during elections. However, the same dynamics that foster democratic engagement can also exacerbate polarization. To better…

Social and Information Networks · Computer Science 2024-12-05 Hazem Ibrahim , Farhan Khan , Hend Alabdouli , Maryam Almatrooshi , Tran Nguyen , Talal Rahwan , Yasir Zaki

We propose new mathematical programming models for optimal partitioning of a signed graph into cohesive groups. To demonstrate the approach's utility, we apply it to identify coalitions in US Congress since 1979 and examine the impact of…

Social and Information Networks · Computer Science 2020-01-22 Samin Aref , Zachary Neal