Opinion formation in kinetic exchange models: Spontaneous symmetry-breaking transition

Mehdi Lallouache, Anindya S. Chakrabarti, Anirban Chakraborti, and Bikas K. Chakrabarti
Phys. Rev. E 82, 056112 – Published 16 November 2010

Abstract

We propose a minimal multiagent model for the collective dynamics of opinion formation in the society by modifying kinetic exchange dynamics studied in the context of income, money, or wealth distributions in a society. This model has an intriguing spontaneous symmetry-breaking transition to polarized opinion state starting from nonpolarized opinion state. In order to analyze the model, we introduce an iterative map version of the model, which has very similar statistical characteristics. An approximate theoretical analysis of the numerical results is also given, based on the iterative map version.

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  • Received 16 July 2010

DOI:https://doi.org/10.1103/PhysRevE.82.056112

©2010 American Physical Society

Authors & Affiliations

Mehdi Lallouache*

  • Département de Physique, École Normale Supérieure de Cachan, 94230 Cachan, France and Chaire de Finance Quantitative, Laboratoire de Mathématiques Appliquées aux Systèmes, École Centrale Paris, 92290 Châtenay-Malabry, France

Anindya S. Chakrabarti

  • Department of Economics, Boston University, 270 Bay State Road, Boston, Massachusetts 02215, USA

Anirban Chakraborti

  • Chaire de Finance Quantitative, Laboratoire de Mathématiques Appliquées aux Systèmes, École Centrale Paris, 92290 Châtenay-Malabry, France

Bikas K. Chakrabarti§

  • Centre for Applied Mathematics and Computational Science, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700 064, India and Economic Research Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata 700 018, India

  • *mehdi.lallouache@ens-cachan.fr
  • aschakrabarti@gmail.com
  • anirban.chakraborti@ecp.fr
  • §bikask.chakrabarti@saha.ac.in

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Issue

Vol. 82, Iss. 5 — November 2010

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