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The bounded confidence model of opinion dynamics, introduced by Deffuant et al, is a stochastic model for the evolution of continuous-valued opinions within a finite group of peers. We prove that, as time goes to infinity, the opinions…

Probability · Mathematics 2011-04-19 Javier Gómez-Serrano , Carl Graham , Jean-Yves Le Boudec

We study an opinion dynamics model in which each agent takes a random Bernoulli distributed action whose probability is updated at each discrete time step, and we prove that this model converges almost surely to consensus. We also provide a…

Social and Information Networks · Computer Science 2024-01-31 Olle Abrahamsson , Danyo Danev , Erik G. Larsson

In the standard $q$-voter model, a given agent can change its opinion only if there is a full consensus of the opposite opinion within a group of influence of size $q$. A more realistic extension is the threshold $q$-voter, where a minimal…

Physics and Society · Physics 2020-05-28 A. R. Vieira , Antonio F. Peralta , Raul Toral , Maxi San Miguel , C. Anteneodo

Human interactions create social networks forming the backbone of societies. Individuals adjust their opinions by exchanging information through social interactions. Two recurrent questions are whether social structures promote opinion…

Physics and Society · Physics 2023-07-31 Fatemeh Zarei , Yerali Gandica , Luis Enrique Correa Rocha

We present an example of a regular opinion function which, as it evolves in accordance with the discrete-time Hegselmann-Krause bounded confidence dynamics, always retains opinions which are separated by more than two. This confirms a…

Dynamical Systems · Mathematics 2014-03-03 Edvin Wedin , Peter Hegarty

We introduce a novel non-cooperative game to analyse opinion formation and resistance, incorporating principles from social psychology such as confirmation bias, resource constraints, and influence penalties. Our simulation features Large…

Artificial Intelligence · Computer Science 2025-09-03 Amin Qasmi , Usman Naseem , Mehwish Nasim

In this paper we study the impact of news media and public surveys on the electoral campaigns for political competitions. We present an agent-based model that addresses the effective influence of surveys in orienting the opinions of voters…

Physics and Society · Physics 2018-03-28 A. E. Biondo , A. Pluchino , A. Rapisarda

In this study, I present a theoretical social learning model to investigate how confirmation bias affects opinions when agents exchange information over a social network. Hence, besides exchanging opinions with friends, agents observe a…

Theoretical Economics · Economics 2023-02-27 Marcos R. Fernandes

We propose a collective opinion formation model with a so-called confirmation bias. The confirmation bias is a psychological effect with which, in the context of opinion formation, an individual in favor of an opinion is prone to…

Physics and Society · Physics 2013-06-24 Ryosuke Nishi , Naoki Masuda

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

The formation of opinions in a large population is governed by endogenous (human interactions) and exogenous (media influence) factors. In the analysis of opinion evolution in a large population, decision making rules can be approximated…

Dynamical Systems · Mathematics 2012-05-08 Anahita Mirtabatabaei , Peng Jia , Francesco Bullo

Social networks often exert social pressure, causing individuals to adapt their expressed opinions to conform to their peers. An agent in such systems can be modeled as having a (true and unchanging) inherent belief while broadcasting a…

Systems and Control · Electrical Eng. & Systems 2024-06-28 Jennifer Tang , Aviv Adler , Amir Ajorlou , Ali Jadbabaie

In the classical Approximate Majority problem with two opinions there are agents with Opinion 1 and with Opinion 2. The goal is to reach consensus and to agree on the majority opinion if the bias is sufficiently large. It is well known that…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-13 Petra Berenbrink , Felix Biermeier , Christopher Hahn

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

Many empirical networks are intrinsically pluralistic, with interactions occurring within groups of arbitrary agents. Then the agent in the network can be influenced by types of neighbors, common examples include similarity, opposition, and…

Physics and Society · Physics 2020-05-12 Shuo Liu , Xiwang Guan , Shuangling Luo , Haoxiang Xia

Natural or artificial barriers, such as the Himalayas, the Berlin Wall, or the Korean Demilitarized Zone, can significantly impede human migration. As a consequence, they may also hinder the dissemination of opinions within society, thereby…

Physics and Society · Physics 2025-05-09 Yan-Wen Xiao , Wei-Chen Guo , Bao-Quan Ai , Liang He

We study a model of opinion formation where the opinions in conflict are not equivalent. This is the case when the subject of the decision is to respect a norm or a law. In such scenarios, one of the possible behaviors is to abide by the…

Physics and Society · Physics 2010-03-29 M. F. Laguna , G. Abramson , S. Risau-Gusman , J. R. Iglesias

The influence of the social relationships of an individual on the individual's opinions (about a topic, a product, or whatever else) is a well known phenomenon and it has been widely studied. This paper considers a network of positive (i.e.…

Computational Complexity · Computer Science 2022-12-01 Miriam Di Ianni

We investigate different opinion formation models on adaptive network topologies. Depending on the dynamical process, rewiring can either (i) lead to the elimination of interactions between agents in different states, and accelerate the…

Physics and Society · Physics 2009-09-29 Cecilia Nardini , Balazs Kozma , Alain Barrat

Opinion diffusion is a crucial phenomenon in social networks, often underlying the way in which a collective of agents develops a consensus on relevant decisions. The voter model is a well-known theoretical model to study opinion spreading…

Multiagent Systems · Computer Science 2024-03-14 Luca Becchetti , Vincenzo Bonifaci , Emilio Cruciani , Francesco Pasquale
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