Mean field solutions of kinetic exchange opinion models

Details Mean field solutions of kinetic exchange opinion models Mean field solutions of kinetic exchange opinion models

2011-06-02

arxiv.org/abs/1106.0419v3

Phys. Rev. E 84, 056106 (2011)

Physics

Physics and Society

9 pages, 7 eps figs

Scientific paper

10.1103/PhysRevE.84.056106

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.

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