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Evolution of Social Power for Opinion Dynamics Networks

Abstract : This article studies the evolution of opinions and interpersonal influence structures in a group of agents as they discuss a sequence of issues, each of which follows an opinion dynamics model. In this work, we propose a general opinion dynamics model and an evolution of interpersonal influence structures based on the model of reflected appraisals proposed by Friedkin. Our contributions can be summarized as follows: (i) we introduce a model of opinion dynamics and evolution of interpersonal influence structures between issues viewed as a best response cost minimization to the neighbor's actions, (ii) we show that DeGroot's and Friedkin-Johnsen's models of opinion dynamics and their evolution of interpersonal influence structures are particular cases of our proposed model, and (iii) we prove the existence of an equilibrium. This work is a step towards providing a solid formulation of the evolution of opinions and interpersonal influence structures over a sequence of issues.
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Contributor : Alonso Silva <>
Submitted on : Thursday, November 16, 2017 - 6:30:52 PM
Last modification on : Wednesday, December 9, 2020 - 3:17:14 PM
Long-term archiving on: : Saturday, February 17, 2018 - 4:43:16 PM

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  • HAL Id : hal-01636648, version 1
  • ARXIV : 1711.06441

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Susana Rey, Patricio Reyes, Alonso Silva. Evolution of Social Power for Opinion Dynamics Networks. 55th Annual Allerton Conference on Communication, Control, and Computing, Oct 2017, Monticello, Illinois, United States. ⟨hal-01636648⟩

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