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We study a model for social influence in which the agents' opinion is a continuous variable [G. Weisbuch et al., Complexity \textbf{7}, 2, 55 (2002)]. The convergent opinion adjustment process takes place as a result of random binary…

Statistical Mechanics · Physics 2007-05-23 M. F. Laguna , Guillermo Abramson , Damian H. Zanette

We generalize a binary majority-vote model on adaptive networks to its plurality-vote counterpart and analyze the time scale to consensus when voters are given more than two options. When opinions are uniformly distributed in the population…

Physics and Society · Physics 2018-05-01 Degang Wu , K. Y. Szeto

In this work we study a Sznajd-like opinion dynamics on a square lattice of linear size $L$. For this purpose, we consider that each agent has a convincing power $C$, that is a time-dependent quantity. Each high convincing power group of…

Physics and Society · Physics 2014-03-13 Nuno Crokidakis

Formation of consensus, in binary yes/no type of voting, is a well defined process. However, even in presence of clear incentives, the dynamics involved can be incredibly complex. Specifically, formations of large groups of similarly…

Physics and Society · Physics 2020-08-14 Sudip Mukherjee , Soumyajyoti Biswas , Parongama Sen

We study the process of opinion formation in an Ising social network of scientific collaborations. The network is undirected. An Ising spin is associated with each network node being oriented up (red) or down (blue). Certain nodes carry…

Physics and Society · Physics 2026-01-07 Kristina Bukina , Dima L. Shepelyansky

We study opinion dynamics in a population of interacting adaptive agents voting on a set of complex multidimensional issues. We consider agents which can classify issues into for or against. The agents arrive at the opinions about each…

Physics and Society · Physics 2009-03-11 Renato Vicente , Andre C. R. Martins , Nestor Caticha

We consider a stochastic, continuous state and time opinion model where each agent's opinion locally interacts with other agents' opinions in the system, and there is also exogenous randomness. The interaction tends to create clusters of…

Social and Information Networks · Computer Science 2016-02-29 Josselin Garnier , George Papanicolaou , Tzu-Wei Yang

This work extends the recent opinion dynamics model from Cheng et al., emphasizing the role of group pressure in consensus formation. We generalize the findings to incorporate social influence algorithms with general time-varying,…

Physics and Society · Physics 2025-03-14 Iryna Zabarianska , Anton V. Proskurnikov

We introduce a stochastic model of binary opinion dynamics in one dimension. The binary opinions $\pm 1$ are analogous to up and down Ising spins and in the equivalent spin system, only the spins at the domain boundary can flip. The…

Statistical Mechanics · Physics 2014-06-16 Suman Sinha , Soham Biswas , Parongama Sen

We consider the plurality consensus problem among $n$ agents. Initially, each agent has one of $k$ different opinions. Agents choose random interaction partners and revise their state according to a fixed transition function, depending on…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-01 Gregor Bankhamer , Petra Berenbrink , Felix Biermeier , Robert Elsässer , Hamed Hosseinpour , Dominik Kaaser , Peter Kling

The dynamical process of opinion formation within a model using a local majority opinion updating rule is studied numerically in networks with the small-world geometrical property. The network is one in which shortcuts are added to randomly…

Physics and Society · Physics 2009-11-11 Ping-Ping Li , Da-Fang Zheng , P. M. Hui

We introduce time variation in the flip-rates of the Voter Model. This type of generalisation is relevant to models of ageing in language change, allowing the representation of changes in speakers' learning rates over their lifetime and may…

Statistical Mechanics · Physics 2015-05-27 G. J. Baxter

In this work we study the opinion formation in a voter-like model defined on a square lattice of linear size $L$. The agents may be in three different states, representing any public debate with three choices (yes, no, undecided). We…

Physics and Society · Physics 2013-07-18 Nuno Crokidakis

In this work we study the opinion evolution in a community-based population with intergroup interactions. We address two issues. First, we consider that such intergroup interactions can be negative with some probability $p$. We develop a…

Physics and Society · Physics 2020-02-21 André L. Oestereich , Marcelo A. Pires , Nuno Crokidakis

We consider a general class of three--state models where individuals hold one of two opposite opinions, or are neutral, and exchange opinions in generic pairwise interactions. We show that when opinions spread in a population where a…

Physics and Society · Physics 2016-03-09 Francesca Colaiori , Claudio Castellano

We study the consensus formation for an agents based model, generalizing that originally proposed by Krause \cite{Kr}, by allowing the communication channels between any couple of agents to be switched on or off randomly, at each time step,…

Social and Information Networks · Computer Science 2026-03-26 Gianfelice Michele , Giuseppe Scola

We study the effect of adaptivity on a social model of opinion dynamics and consensus formation. We analyze how the adaptivity of the network of contacts between agents to the underlying social dynamics affects the size and topological…

Physics and Society · Physics 2008-05-23 Balazs Kozma , Alain Barrat

We investigate opinion dynamics in multi-agent networks when a bias toward one of two possible opinions exists; for example, reflecting a status quo vs a superior alternative. Starting with all agents sharing an initial opinion representing…

Multiagent Systems · Computer Science 2021-03-09 Aris Anagnostopoulos , Luca Becchetti , Emilio Cruciani , Francesco Pasquale , Sara Rizzo

We developed a statistical mechanics approach to the problem of opinion formation in interacting agents, constrained by a set of social rules, $B$. To provide the agents with an adaptive quality, we represented both the social agents and…

Physics and Society · Physics 2017-06-28 Juan Pablo Neirotti

We study opinion evolution in networks of stubborn agents discussing a sequence of issues, modeled through the so called concatenated Friedkin-Johnsen (FJ) model. It is concatenated in the sense that agents' opinions evolve for each issue,…

Optimization and Control · Mathematics 2024-05-24 David Ohlin , Fethi Bencherki , Emma Tegling