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Opinion dynamics of random-walking agents on finite two-dimensional lattices is studied. In the model, the opinion is continuous, and both the lattice and the opinion can be either periodic or non-periodic. At each time step, all agents…

Physics and Society · Physics 2012-04-27 Suhan Ree

Social movements, neurons in the brain or even industrial suppliers are best described by agents evolving on networks with basic interaction rules. In these real systems, the connectivity between agents corresponds to the a critical state…

Physics and Society · Physics 2007-05-23 Philippe Curty

In the evolutionary Prisoner's Dilemma (PD) game, agents play with each other and update their strategies in every generation according to some microscopic dynamical rule. In its spatial version, agents do not play with every other but,…

Populations and Evolution · Quantitative Biology 2009-03-08 Luis G. Moyano , Angel Sánchez

The Hegselmann-Krause (HK) model of opinion dynamics describes how opinions held by individuals in a community change over time in response to the opinions of others and their access to the true value, T, to which these opinions relate.…

Social and Information Networks · Computer Science 2025-02-28 Allen G. Rodrigo

A model for the joint evolution of opinions and how much the agents trust each other is presented. The model is built using the framework of the Continuous Opinions and Discrete Actions (CODA) model. Instead of a fixed probability that the…

Physics and Society · Physics 2014-11-19 André C. R. Martins

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

We present a numerical study, based on Monte Carlo simulations, aimed at defining new empirical parameters measurable from observations and able to trace the different phases of star cluster dynamical evolution. As expected, a central…

Astrophysics of Galaxies · Physics 2022-02-23 B. Bhat , B. Lanzoni , F. R. Ferraro , E. Vesperini

Differences in opinion can be seen as distances between individuals, and such differences do not always vanish over time. In this paper, we propose a modeling framework that captures the formation of opinion clusters, based on extensions of…

Dynamical Systems · Mathematics 2025-06-09 Christian Kuehn , Jaeyoung Yoon

Opinion polarization is a ubiquitous phenomenon in opinion dynamics. In contrast to the traditional consensus oriented group decision making (GDM) framework, this paper proposes a framework with the co-evolution of both opinions and…

Social and Information Networks · Computer Science 2017-05-18 Qingxing Dong , Xin Zhou

Dynamics in a distributed system are self-stabilizing if they are guaranteed to reach a stable state regardless of how the system is initialized. Game dynamics are uncoupled if each player's behavior is independent of the other players'…

Computer Science and Game Theory · Computer Science 2014-05-07 Aaron D. Jaggard , Neil Lutz , Michael Schapira , Rebecca N. Wright

Random pairwise encounters often occur in large populations, or groups of mobile agents, and various types of local interactions that happen at encounters account for emergent global phenomena. In particular, in the fields of swarm…

Multiagent Systems · Computer Science 2021-03-16 Thomas Dagès , Alfred M. Bruckstein

The spontaneous formation and subsequent growth, dissolution, merger and competition of social groups bears similarities to physical phase transitions in metastable finite systems. We examine three different scenarios, percolation, spinodal…

Physics and Society · Physics 2022-09-22 Frank Schweitzer , Georges Andres

We study the formation of stable outcomes via simple dynamics in cardinal hedonic games, where the utilities of agents change over time depending on the history of the coalition formation process. Specifically, we analyze situations where…

Computer Science and Game Theory · Computer Science 2022-12-01 Niclas Boehmer , Martin Bullinger , Anna Maria Kerkmann

In this article, I investigate the use of Bayesian updating rules applied to modeling social agents in the case of continuos opinions models. Given another agent statement about the continuous value of a variable $x$, we will see that…

Physics and Society · Physics 2009-04-04 Andre C. R. Martins

The set of solutions of random constraint satisfaction problems (zero energy groundstates of mean-field diluted spin glasses) undergoes several structural phase transitions as the amount of constraints is increased. This set first breaks…

Statistical Mechanics · Physics 2007-12-19 Guilhem Semerjian

In this paper, we study the evolution of opinions over social networks with bounded confidence in social cliques. Node initial opinions are independently and identically distributed; at each time step, nodes review the average opinions of a…

Social and Information Networks · Computer Science 2021-07-13 Jiangbo Zhang , Deming Yuan , Lei Wang , Claudio Altafini , Guodong Shi

The phenomenon of residential segregation was captured by Schelling's famous segregation model where two types of agents are placed on a grid and an agent is content with her location if the fraction of her neighbors which have the same…

Computer Science and Game Theory · Computer Science 2019-07-18 Hagen Echzell , Tobias Friedrich , Pascal Lenzner , Louise Molitor , Marcus Pappik , Friedrich Schöne , Fabian Sommer , David Stangl

We introduce a stochastic geometry dynamics inspired by opinion dynamics that captures the essence of modern asymmetric social networks with leaders and followers. Points in the Euclidean space represent opinions, and the leader of an agent…

Probability · Mathematics 2026-05-29 Natasa Dragovic , Francois Baccelli

Game dynamics theory, as a field of science, the consistency of theory and experiment is essential. In the past 10 years, important progress has been made in the merging of the theory and experiment in this field, in which dynamics cycle is…

Theoretical Economics · Economics 2024-11-13 Zhijian Wang , Shujie Zhou , Qinmei Yao , Yijia Wang

Recently, we proposed polycontextural networks as a model of evolving systems of interacting beliefs. Here, we present an analysis of the phase transition as well as the scaling properties. The model contains interacting agents that strive…

Statistical Mechanics · Physics 2025-01-17 Johannes Falk , Edwin Eichler , Katja Windt , Marc-Thorsten Hütt