Consensus in Small and Large Audiences

  • V. Kanevsky
  • A. Garcia
  • V. Naroditsky
Conference paper
Part of the Woodward Conference book series (WOODWARD)

Abstract

We consider the dynamics of a population in which individuals select a color from a finite set of colors. Each individual in the population has a “neighborhood” and the choices made by the neighbors influence the selection process of that individual. We are interested in the dynamics of the evolution of such a system to the monochromatic state of unison. We consider how the mean time to unison varies with the sizes of the population and the neighborhood, the geometry of the neighborhoods and the initial number of colors. Some analytical results are presented for the case where the size of the neighborhood is the entire population. Results of computer experiments for a variety of scenarios are presented and discussed.

Keywords

Entropy Stein 

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Copyright information

© Springer-Verlag New York, Inc. 1992

Authors and Affiliations

  • V. Kanevsky
    • 1
  • A. Garcia
    • 2
  • V. Naroditsky
    • 1
  1. 1.Department of Mathematics and Computer ScienceSan Jose State UniversitySan JoseUSA
  2. 2.Department of PhysicsSan Jose State UniversitySan JoseUSA

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