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The aim of this work is to put forward a statistical mechanics theory of social interaction, generalizing econometric discrete choice models. After showing the formal equivalence linking econometric multinomial logit models to equilibrium…

Physics and Society · Physics 2009-07-16 Ignacio Gallo

This paper is concerned with a family of Reaction-Diffusion systems that we introduced in [15], and that generalizes the SIR type models from epidemiology. Such systems are now also used to describe collective behaviors.In this paper, we…

Analysis of PDEs · Mathematics 2021-02-16 Henri Berestycki , Samuel Nordmann , Luca Rossi

We propose models describing the collective dynamics of two opposing groups of individuals with stochastic communication. Individuals from the same group are assumed to align in a stochastic manner, while individuals from different groups…

Classical Analysis and ODEs · Mathematics 2019-07-15 Shi Jin , Ruiwen Shu

A continuous-opinion model accounting for the social compromise propensity is theoretically and numerically analysed. An agent's opinion is represented by a real number that can be changed through social interactions with her neighbours.…

Physics and Society · Physics 2025-10-09 Carlos Uriarte , Pablo Rodriguez-Lopez , Nagi Khalil

In many domains of life, business and management, numerous problems are addressed by small groups of individuals engaged in face-to-face discussions. While research in social psychology has a long history of studying the determinants of…

Physics and Society · Physics 2018-02-07 Mehdi Moussaid , Alejandro Noriega Campero , Abdullah Almaatouq

We extend a sociophysics model of two-group conflict dynamics to three groups. The model with attractors and chaos is proposed as a tool for exploring and managing intractable conflicts. It can be used to generate scenarios of trajectories…

Physics and Society · Physics 2018-12-05 Miron Kaufman , Hung Diep , Sanda Kaufman , Monte Carlo

We propose a thermodynamic multi-state spin model in order to describe equilibrial behavior of a society. Our model is inspired by the Axelrod model used in social network studies. In the framework of the statistical mechanics language, we…

Physics and Society · Physics 2015-01-09 Jozef Genzor , Vladimir Buzek , Andrej Gendiar

During intergroup confrontations, agitating stimuli such as opponents' threats and provocations can trigger collective violence, even without the usual mechanisms of ingroup cooperation, such as norms with sanctions. We examine video…

Physics and Society · Physics 2026-03-31 Jeroen Bruggeman , Don Weenink , Bram Mak

We propose, develop, and analyze a mathematical model of intergroup attitudes in a community that is divided between two distinct social groups (which may be distinguished by religion, ethnicity, or some other socially distinguishing…

Physics and Society · Physics 2015-12-07 Christopher Thron , Rachel McCoy

Statistical mechanics has proven to be able to capture the fundamental rules underlying phenomena of social aggregation and opinion dynamics, well studied in disciplines like sociology and psychology. This approach is based on the…

Physics and Society · Physics 2016-01-13 Andrea Guazzini , Daniele Vilone , Franco Bagnoli

A two-spin system based on the idea used to formulate the dynamical model simulating the process of opinion spreading in a society, where people adopt one of the four social attitudes [Physica A 351, 593 (2005)] is studied. The model is…

Statistical Mechanics · Physics 2021-02-03 Józef Sznajd

Three theories offer competing predictions about how people respond to growing diversity in their social environment. Contact theory suggests more exposure to out-groups reduces prejudice; conflict theory predicts a stronger in-group…

We propose a model for social dynamics on a network. In this model each actor holds a position on some issue, actors and their opinions being associated to vertices of the graph, and, additionally, the actors hold opinions of one another,…

Physics and Society · Physics 2016-01-20 Ikemefuna Agbanusi , Jared C. Bronski

Social hierarchy in animal groups carries a crucial adaptive function by reducing conflict and injury while protecting valuable group resources. Social hierarchy is dynamic and can be altered by social conflict, agonistic interactions, and…

Neurons and Cognition · Quantitative Biology 2023-04-27 Sergey Shuvaev , Evgeny Amelchenko , Dmitry Smagin , Natalia Kudryavtseva , Grigori Enikolopov , Alexei Koulakov

This paper proposes a model to explain the potential role of inter-group conflicts in determining the rise and fall of signaling norms. Individuals in a population are characterized by high and low productivity types and they are matched in…

Populations and Evolution · Quantitative Biology 2023-08-08 Ethan Holdahl , Jiabin Wu

Individuals belong to certain social groups in search of a sense of belonging, pride, stability, and significance. Perceiving the group to which one belongs as an "in-group" and other groups as "out-groups" often leads to harmful and…

Physics and Society · Physics 2024-04-23 Yasuko Kawahata

In present paper we propose the consistent statistical approach which appropriate for a number of models describing both behavior of biological populations and various social groups interacting with each other.The approach proposed based on…

Physics and Society · Physics 2012-09-27 E. D. Vol

We study a model for a statistical network formed by interactions between its nodes and links. Each node can be in one of two states (Ising spin up or down) and the node-link interaction facilitates linking between the like nodes. For high…

Statistical Mechanics · Physics 2009-11-11 A. E. Allahverdyan , K. G. Petrosyan

An heuristic model of the society, as an assembly of weakly interacting individuals, is discussed. The model allows to connect macroscopic phenomena with features of relations between individuals. Addressing to the problem of inequality, a…

Biological Physics · Physics 2023-10-16 Vladimir Pokrovskii

We propose a simple model to explore an educational phenomenon where the correct answer emerges from group discussion. We construct our model based on several plausible assumptions: (i) We tend to follow peers' opinions. However, if a…

Physics and Society · Physics 2025-05-27 Jibeom Seo , Beom Jun Kim
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