Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-11-28
Phys. Rev. E 76, 051102 (2007)
Physics
Condensed Matter
Statistical Mechanics
4 pages, 4 figures
Scientific paper
10.1103/PhysRevE.76.051102
We introduce a model of negotiation dynamics whose aim is that of mimicking the mechanisms leading to opinion and convention formation in a population of individuals. The negotiation process, as opposed to ``herding-like'' or ``bounded confidence'' driven processes, is based on a microscopic dynamics where memory and feedback play a central role. Our model displays a non-equilibrium phase transition from an absorbing state in which all agents reach a consensus to an active stationary state characterized either by polarization or fragmentation in clusters of agents with different opinions. We show the exystence of at least two different universality classes, one for the case with two possible opinions and one for the case with an unlimited number of opinions. The phase transition is studied analytically and numerically for various topologies of the agents' interaction network. In both cases the universality classes do not seem to depend on the specific interaction topology, the only relevant feature being the total number of different opinions ever present in the system.
Baronchelli Andrea
Barrat Alain
Dall'Asta Luca
Loreto Vittorio
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