Opinion Dynamics and Influencing on Random Geometric Graphs

Abstract

We investigate the two-word Naming Game on two-dimensional random geometric graphs. Studying this model advances our understanding of the spatial distribution and propagation of opinions in social dynamics. A main feature of this model is the spontaneous emergence of spatial structures called opinion domains which are geographic regions with clear boundaries within which all individuals share the same opinion. We provide the mean-field equation for the underlying dynamics and discuss several properties of the equation such as the stationary solutions and two-time-scale separation. For the evolution of the opinion domains we find that the opinion domain boundary propagates at a speed proportional to its curvature. Finally we investigate the impact of committed agents on opinion domains and find the scaling of consensus time.

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Document Details

Document Type
Technical Report
Publication Date
Jul 04, 2017
Accession Number
AD1059461

Entities

People

  • Boleslaw Szymanski
  • Chjan Chin Lim
  • G. Korniss
  • Weituo Zhang

Organizations

  • Rensselaer Polytechnic Institute

Tags

Communities of Interest

  • Air Platforms
  • Autonomy

DTIC Thesaurus Topics

  • Agent-Based Simulations
  • Artificial Intelligence
  • Computer Science
  • Equations
  • Geographic Regions
  • Geometric Forms
  • Language
  • Lines (Geometry)
  • Linguistics
  • Military Research
  • Physics
  • Probability
  • Random Variables
  • Simulations
  • Social Sciences
  • Spatial Distribution
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Agent-Based Social Robotics and Mobile-Assisted Learning in Virtual Environments.
  • Graph Algorithms and Convex Optimization.