title: Mean-field solutions of kinetic-exchange opinion models.
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.
authors.affiliation: Theoretical Condensed Matter Physics Division, Saha Institute of Nuclear Physics, Kolkata, India. soumyajyoti.biswas@saha.ac.in
authors.forename: Soumyajyoti
authors.initials: S
authors.lastname: Biswas
mesh_terms: D000465:Algorithms; D001290:Attitude; D003198:Computer Simulation; D007700:Kinetics; D015233:Models, Statistical; D008962:Models, Theoretical; D009010:Monte Carlo Method; D011336:Probability; D011639:Public Opinion; D013269:Stochastic Processes