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Related papers: Sznajd model and its applications

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The original Deffuant model consists of a finite number of agents whose opinion is a number in $[0,1]$. Two socially connected agents are uniformly randomly selected at each time step and approach each other at a rate $\mu\in [0,1/2]$ if…

Probability · Mathematics 2021-12-07 Hsin-Lun Li

We define a stochastic reaction-diffusion process that describes a consensus formation in a non-sedentary population. The process is a diffusive version of the Majority Vote model, where the state update follows two stages: in the first…

Statistical Mechanics · Physics 2022-03-14 J. R. S. Lima , F. W. S. Lima , T. F. A. Alves , G. A. Alves , A. Macedo-Filho

We study a model for opinion formation which incorporates three basic ingredients for the evolution of the opinion held by an individual: imitation, influence of fashion and randomness. We show that in the absence of fashion, the model…

Statistical Mechanics · Physics 2009-11-10 Claudio J. Tessone , Raul Toral

A new model is formulated of the sociological effect of the spiral of silence, introduced by Elisabeth Noelle-Neumann in 1974. The probability that a new opinion is openly expressed decreases with the difference between this new opinion and…

Physics and Society · Physics 2023-07-19 P. Gawronski , M. Nawojczyk , K. Kulakowski

The Zaller theory of opinion formation is reformulated with one free parameter $\mu$, which measures the largest possible ideological distance which can be made by a citizen in one mental step. Our numerical results show the transient…

Physics and Society · Physics 2009-11-13 Krzysztof Kulakowski

In this work we study the dynamics of opinion formation in the Sznajd model with anticonformity on regular lattices in two and three dimensions. The anticonformity behavior is similar to the introduction of Galam's contrarians in the…

Statistical Mechanics · Physics 2018-09-19 Matheus Calvelli , Nuno Crokidakis , Thadeu J. P. Penna

Related to an idea of Lewin, a mathematical model for behavioral changes under the influence of a social field is developed. The social field reflects public opinion, social norms and trends. It is not only given by external factors (the…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

Diffusion (score-based) generative models have been widely used for modeling various types of complex data, including images, audios, and point clouds. Recently, the deep connection between forward-backward stochastic differential equations…

Machine Learning · Computer Science 2022-06-22 Weitao Du , Tao Yang , He Zhang , Yuanqi Du

Involving effects of media, opinion leader and other agents on the opinion of individuals of market society, a trader based model is developed and utilized to simulate price via supply and demand. Pronounced effects are considered with…

Physics and Society · Physics 2009-11-11 Caglar Tuncay

We introduce a statistical physics model for opinion dynamics on random networks where agents adopt the opinion held by the majority of their direct neighbors only if the fraction of these neighbors exceeds a certain threshold, p_u. We find…

Physics and Society · Physics 2009-11-13 Peter Klimek , Renaud Lambiotte , Stefan Thurner

A fundamental question related to innovation diffusion is how the social network structure influences the process. Empirical evidence regarding real-world influence networks is very limited. On the other hand, agent-based modeling…

Physics and Society · Physics 2015-06-17 Katarzyna Sznajd-Weron , Janusz Szwabinski , Rafal Weron , Tomasz Weron

Sand pile models are dynamical systems describing the evolution from $N$ stacked grains to a stable configuration. It uses local rules to depict grain moves and iterate it until reaching a fixed configuration from which no rule can be…

Discrete Mathematics · Computer Science 2013-02-19 Kévin Perrot , Eric Rémila

This paper proposes a new consensus model in participatory decision making. The model employs advice centrality approach by electing a leader and recommender named as Supra Decision Maker (SDM). A SDM has a role as a decision bench-marker…

Social and Information Networks · Computer Science 2012-03-27 Vitri Tundjungsari , Jazi Eko Istiyanto , Edi Winarko , Retantyo Wardoyo

Recently, a model of opinion formation with kinetic exchanges has been proposed in which a spontaneous symmetry breaking transition was reported [M. Lallouache et al, Phys. Rev. E, {\bf 82} 056112 (2010)]. We generalise the model to…

Physics and Society · Physics 2013-05-29 Parongama Sen

Real-world relations among entities can often be observed and determined by different perspectives/views. For example, the decision made by a user on whether to adopt an item relies on multiple aspects such as the contextual information of…

Machine Learning · Computer Science 2018-02-16 Chun-Ta Lu , Lifang He , Hao Ding , Bokai Cao , Philip S. Yu

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

We introduce a consensus model inspired by the Sznajd Model. The updating is synchronous and memory plays here a decisive role in making possible the reaching of total consensus. We study the phase transition between the state with…

Condensed Matter · Physics 2009-11-10 Lorenzo Sabatelli , Peter Richmond

Social media and social networking sites have become a global pinboard for exposition and discussion of news, topics, and ideas, where social media users often update their opinions about a particular topic by learning from the opinions…

Social and Information Networks · Computer Science 2016-05-25 Abir De , Isabel Valera , Niloy Ganguly , Sourangshu Bhattacharya , Manuel Gomez Rodriguez

We study a stochastic model for the diffusion of competing opinions in a population composed of three types of agents: trend-followers, opposers, and indifferent individuals. The decision dynamics are driven by reinforcement mechanisms,…

Probability · Mathematics 2025-06-24 Manuel González-Navarrete

In this work we consider the influence of mass media in the dynamics of the two-dimensional Sznajd model. This influence acts as an external field, and it is introduced in the model by means of a probability $p$ of the agents to follow the…

Physics and Society · Physics 2011-12-23 Nuno Crokidakis