Binary and Multivariate Stochastic Models of Consensus Formation

  • Authors:
  • Maxi San Miguel;Victor M. Eguiluz;Raul Toral;Konstantin Klemm

  • Affiliations:
  • IMEDEA;IMEDEA;IMEDEA;Leipzig University

  • Venue:
  • Computing in Science and Engineering
  • Year:
  • 2005

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Abstract

The emergence of consensus is a current paradigm in many computer simulation studies of social sciences problems. The specific issue is how to determine when the dynamics of a set of interacting agents that can choose among several options (political vote, opinion, cultural features, and so on) lead to a consensus in one of those options, or when a state with several coexisting social options prevails. Many researchers seek to identify the mechanisms that produce the latter, called a polarized state, in the face of general convergent dynamics. The problem of spatially distributed agents, for example, shares many characteristics with the problem of domain growth in phase-transition kinetics:consensus emerges when a single spatial domain grows to occupy the entire system, whereas polarization corresponds to a situation in which the system isn't ordered and different spatial domains compete. In this article, we consider stochastic dynamic models studied via computer simulation.