Majority-vote model with different agents

André L.M. Vilela and F.G. Brady Moreira

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 19, 4171-4178

Abstract: We consider the majority-vote model with noise in a network of social interactions for a system with two classes of individuals, class σ and class τ. For the two-agent model each class has its own dynamics, with individuals of σ class being influenced by neighbors of both classes, while the individuals of type τ are influenced only by neighbors of that class. We use Monte Carlo simulations and finite-size scaling techniques to estimate the critical properties of the system in the stationary state. The calculated values of the critical noise parameters, qσ∗ and qτ∗, allow us to identify five distinct regions in the phase diagram on the qτ–qσ plane. The critical exponents for each class are the same and we conclude that the present model belongs to the same universality class as the two-dimensional Ising model.

Keywords: Sociophysics; Phase transition; Monte Carlo simulation; Finite-size scaling (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:19:p:4171-4178

DOI: 10.1016/j.physa.2009.06.046

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