Kinetic exchange opinion model: solution in the single parameter map limit

TL;DR

This paper analyzes a simplified kinetic exchange opinion model in the single parameter map limit, providing insights into its dynamical properties and phase diagram, and explores the generalized two-parameter version revealing universal behavior.

Contribution

It offers an exact solution for the single parameter map limit and characterizes the phase diagram of the generalized two-parameter model.

Findings

Exact phase diagram of the two-parameter model

Universal behavior along the phase boundary

Insights into the order parameter dynamics

Abstract

We study a recently proposed kinetic exchange opinion model (Lallouache et. al., Phys. Rev E 82:056112, 2010) in the limit of a single parameter map. Although it does not include the essentially complex behavior of the multiagent version, it provides us with the insight regarding the choice of order parameter for the system as well as some of its other dynamical properties. We also study the generalized two- parameter version of the model, and provide the exact phase diagram. The universal behavior along this phase boundary in terms of the suitably defined order parameter is seen.