Pairwise stochastic bounded confidence opinion dynamics: Heavy tails and stability

Author(s):  
Francois Baccelli ◽  
Avhishek Chatterjee ◽  
Sriram Vishwanath
2017 ◽  
Vol 62 (11) ◽  
pp. 5678-5693 ◽  
Author(s):  
Francois Baccelli ◽  
Avhishek Chatterjee ◽  
Sriram Vishwanath

Automatica ◽  
2021 ◽  
Vol 129 ◽  
pp. 109683
Author(s):  
Francesco Vasca ◽  
Carmela Bernardo ◽  
Raffaele Iervolino

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Xiaoxuan Liu ◽  
Changwei Huang ◽  
Haihong Li ◽  
Qionglin Dai ◽  
Junzhong Yang

In complex systems, agents often interact with others in two distinct types of interactions, pairwise interaction and group interaction. The Deffuant–Weisbuch model adopting pairwise interaction and the Hegselmann–Krause model adopting group interaction are the two most widely studied opinion dynamics. In this study, we propose a novel opinion dynamics by combining pairwise and group interactions for agents and study the effects of the combination on consensus in the population. In the model, we introduce a parameter α to control the weights of the two interactions in the dynamics. Through numerical simulations, we find that there exists an optimal α , which can lead to a highest probability of complete consensus and minimum critical bounded confidence for the formation of consensus. Furthermore, we show the effects of α on opinion formation by presenting the observations for opinion clusters. Moreover, we check the robustness of the results on different network structures and find the promotion of opinion consensus by α not limited to a complete graph.


2007 ◽  
Vol 18 (09) ◽  
pp. 1377-1395 ◽  
Author(s):  
ALESSANDRO DI MARE ◽  
VITO LATORA

A way to simulate the basic interactions between two individuals with different opinions, in the context of strategic game theory, is proposed. Various games are considered, which produce different kinds of opinion formation dynamics. First, by assuming that all individuals (players) are equals, we obtain the bounded confidence model of continuous opinion dynamics proposed by Deffuant et al. In such a model a tolerance threshold is defined, such that individuals with difference in opinion larger than the threshold can not interact. Then, we consider that the individuals have different inclinations to change opinion and different abilities in convincing the others. In this way, we obtain the so-called "Stubborn individuals and Orators" (SO) model, a generalization of the Deffuant et al. model, in which the threshold tolerance is different for every couple of individuals. We explore, by numerical simulations, the dynamics of the SO model, and we propose further generalizations that can be implemented.


Automatica ◽  
2018 ◽  
Vol 93 ◽  
pp. 114-125 ◽  
Author(s):  
Claudio Altafini ◽  
Francesca Ceragioli

2015 ◽  
Vol 18 (01n02) ◽  
pp. 1550002 ◽  
Author(s):  
MEYSAM ALIZADEH ◽  
CLAUDIO CIOFFI-REVILLA ◽  
ANDREW CROOKS

Empirical findings from social psychology show that sometimes people show favoritism toward in-group members in order to reach a global consensus, even against individuals' own preferences (e.g., altruistically or deontically). Here we integrate ideas and findings on in-group favoritism, opinion dynamics, and radicalization using an agent-based model entitled cooperative bounded confidence (CBC). We investigate the interplay of homophily, rejection, and in-group cooperation drivers on the formation of opinion clusters and the emergence of extremist, radical opinions. Our model is the first to explicitly explore the effect of in-group favoritism on the macro-level, collective behavior of opinions. We compare our model against the two-dimentional bounded confidence model with rejection mechanism, proposed by Huet et al. [Adv. Complex Syst.13(3) (2010) 405–423], and find that the number of opinion clusters and extremists is reduced in our model. Moreover, results show that group influence can never dominate homophilous and rejecting encounters in the process of opinion cluster formation. We conclude by discussing implications of our model for research on collective behavior of opinions emerging from individuals' interaction.


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