Mean field solutions of kinetic exchange opinion models

TL;DR

This paper provides an exact mean field solution for an infinite-range opinion formation model, revealing phase transitions influenced by two- and three-agent interactions, including a tricritical point.

Contribution

It offers the first exact solution of an infinite-range opinion model with both two- and three-agent interactions, analyzing phase transitions and tricritical behavior.

Findings

Identifies active-absorbing phase transition in the model

Discovers continuous and discontinuous transition lines

Locates a tricritical point separating the transition types

Abstract

We present here the exact solution of an infinite range, discrete, opinion formation model. The model shows an active-absorbing phase transition, similar to that numerically found in its recently proposed continuous version (Lallouache et al., Phys. Rev E 82, 056112 (2010)). Apart from the two-agent interactions here we also report the effect of having three agent interactions. The phase diagram has a continuous transition line (two agent interaction dominated) and a discontinuous transition line (three agent interaction dominated) separated by a tricritical point.