title: 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.
authors.affiliation: Department of Mathematical Sciences, Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY, 12180-3590 USA.
authors.forename: Weituo
authors.initials: W
authors.lastname: Zhang
authors.affiliation: Department of Mathematical Sciences, Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY, 12180-3590 USA.
authors.forename: Chjan C
authors.initials: CC
authors.lastname: Lim
authors.affiliation: Department of Physics, Applied Physics and Astronomy, Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY, 12180-3590 USA.
authors.forename: G
authors.initials: G
authors.lastname: Korniss
authors.affiliation: Department of Computer Science, Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY, 12180-3590 USA.
authors.forename: Boleslaw K
authors.initials: BK
authors.lastname: Szymanski
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D006801:Humans; D007857:Leadership; D008960:Models, Psychological; D009275:Names; D011639:Public Opinion; D012919:Social Behavior