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A national voting population, when segmented into groups like, for example, different states, can yield a counter-intuitive scenario where the winner may not necessarily get the most number of total votes. A recent example is the 2016…

Physics and Society · Physics 2017-09-06 Soumyajyoti Biswas , Parongama Sen

In this paper, we reconsider the spin model suggested recently to understand some features of collective decision making among higher organisms [A.T. Hartnett et al., Phys. Rev. Lett. 116 (2016) 038701]. Within the model, the state of an…

Statistical Mechanics · Physics 2023-06-28 Petro Sarkanych , Mariana Krasnytska , Luis Gómez-Nava , Pawel Romanczuk , Yurij Holovatch

For a binary choice problem, the spatial coordination of decisions in an agent community is investigated both analytically and by means of stochastic computer simulations. The individual decisions are based on different local information…

Statistical Mechanics · Physics 2009-11-07 Frank Schweitzer , Joerg Zimmermann , Heinz Muehlenbein

Susceptibility governs the dynamics of contagion. The classical SIR model is one of the simplest compartmental models of contagion spread, assuming a single shared susceptibility level. However, variation in susceptibility over a population…

Populations and Evolution · Quantitative Biology 2020-09-22 Christopher Rose , Andrew J. Medford , C. Franklin Goldsmith , Tejs Vegge , Joshua Weitz , Andrew A. Peterson

The outcomes of democratic elections rest on individuals' decision-making that is driven by their varying preferences and beliefs. Individuals may prefer consensus to gridlock, or gridlock to consensus, and information may be fractured via…

Physics and Society · Physics 2024-10-29 Jonathan Engle , Bryce Morsky

The persistence exponent, which characterises the long-time decay of the survival probability of stochastic processes in the presence of an absorbing target, plays a key role in quantifying the dynamics of fluctuating systems. Determining…

Statistical Mechanics · Physics 2025-06-23 Julien Brémont , Léo Régnier , Olivier Bénichou , Raphaël Voituriez

We study in details the turnout rate statistics for 77 elections in 11 different countries. We show that the empirical results established in a previous paper for French elections appear to hold much more generally. We find in particular…

Physics and Society · Physics 2015-06-03 Christian Borghesi , Jean-Claude Raynal , Jean-Philippe Bouchaud

One of the fundamental principles driving diversity or homogeneity in domains such as cultural differentiation, political affiliation, and product adoption is the tension between two forces: influence (the tendency of people to become…

Computer Science and Game Theory · Computer Science 2015-10-28 David Kempe , Jon Kleinberg , Sigal Oren , Aleksandrs Slivkins

Social dynamics determined by voting in a stochastic environment is analyzed for a society composed of two cohesive groups of similar size. Within the model of random walks determined by voting, explicit formulas are derived for the capital…

Multiagent Systems · Computer Science 2011-09-21 P. Yu. Chebotarev , A. K. Loginov , Ya. Yu. Tsodikova , Z. M. Lezina , V. I. Borzenko

We introduce the heterogeneous voter model (HVM), in which each agent has its own intrinsic rate to change state, reflective of the heterogeneity of real people, and the partisan voter model (PVM), in which each agent has an innate and…

Physics and Society · Physics 2010-08-04 Naoki Masuda , N. Gibert , S. Redner

Consider an undirected graph G, representing a social network, where each node is blue or red, corresponding to positive or negative opinion on a topic. In the voter model, in discrete time rounds, each node picks a neighbour uniformly at…

Social and Information Networks · Computer Science 2025-06-03 Abhiram Manohara , Ahad N. Zehmakan

A two state model for opinion forming, which has proven heuristic power, is reviewed with a novel emphasis on the existence or absence of a threshold for the dynamics. Monitored by repeated small groups discussions floater agents update…

Physics and Society · Physics 2008-03-18 Serge Galam

Opinion dynamics, the evolution of individuals through social interactions, is an important area of research with applications ranging from politics to marketing. Due to its interdisciplinary relevance, studies of opinion dynamics remain…

Social and Information Networks · Computer Science 2025-11-04 Mohammad Shirzadi , Emilio Cruciani , Ahad N. Zehmakan

A current paradigm in computer simulation studies of social sciences problems by physicists is the emergence of consensus. The question is to establish when the dynamics of a set of interacting agents that can choose among several options…

Physics and Society · Physics 2007-09-25 Maxi San Miguel , Víctor M. Eguíluz , Raúl Toral , Konstantin Klemm

We model an electorate voting on the funding of a public good in a two-party system in an evolutionary game theory framework. Voters adopt one of four strategies: Consensus-makers, Gridlockers, Party 1 Zealots, and Party 2 Zealots, which…

Physics and Society · Physics 2026-03-27 Jonathan Engle , Bryce Morsky

Collective leadership and herding may arise in standard models of opinion dynamics as an interplay of a strong separation of time scales within the population and its hierarchical organization. Using the voter model as a simple opinion…

Physics and Society · Physics 2017-07-12 Liudmila Rozanova , Marian Boguna

One form of long-term behavior revealed by opinion dynamics simulations is intermittency, where an individual cycles between eras of stable, constant beliefs and turbulent, fluctuating beliefs, for example when inferring the political bias…

Physics and Society · Physics 2023-08-01 Nicholas Kah Yean Low , Andrew Melatos

We investigate majority-vote opinion dynamics on Geometric Inhomogeneous Random Graphs (GIRGs), a powerful model for spatial complex networks. In contrast to classic coarsening dynamics where a single opinion typically achieves global…

Social and Information Networks · Computer Science 2026-03-11 Mats Bierwirth , Johannes Lengler

We introduce a variant of the voter model in which agents may have different degrees of confidence on their opinions. Those with low confidence are normal voters whose state can change upon a single contact with a different neighboring…

Statistical Mechanics · Physics 2022-07-27 Luís Carlos F. Latoski , W. G. Dantas , Jeferson J. Arenzon

We study the problem of reconstructing the probability measure of the Curie-Weiss model from a sample of the voting behaviour of a subset of the population. While originally used to study phase transitions in statistical mechanics, the…

Probability · Mathematics 2025-08-06 Miguel Ballesteros , Ivan Naumkin , Gabor Toth