Multiopinion coevolving voter model with infinitely many phase transitions
Abstract
We consider an idealized model in which individuals' changing opinions and their social network coevolve, with disagreements between neighbors in the network resolved either through one imitating the opinion of the other or by reassignment of the discordant edge. Specifically, an interaction between x and one of its neighbors y leads to x imitating y with probability (1α) and otherwise (i.e., with probability α) x cutting its tie to y in order to instead connect to a randomly chosen individual. Building on previous work about the twoopinion case, we study the multipleopinion situation, finding that the model has infinitely many phase transitions (in the large graph limit with infinitely many initial opinions). Moreover, the formulas describing the end states of these processes are remarkably simple when expressed as a function of β =α/(1α).
 Publication:

Physical Review E
 Pub Date:
 December 2013
 DOI:
 10.1103/PhysRevE.88.062818
 arXiv:
 arXiv:1303.7434
 Bibcode:
 2013PhRvE..88f2818S
 Keywords:

 89.75.Fb;
 87.23.Ge;
 64.60.A;
 89.75.Hc;
 Structures and organization in complex systems;
 Dynamics of social systems;
 Specific approaches applied to studies of phase transitions;
 Networks and genealogical trees;
 Physics  Physics and Society;
 Condensed Matter  Disordered Systems and Neural Networks;
 Computer Science  Social and Information Networks;
 Mathematics  Probability;
 Nonlinear Sciences  Adaptation and SelfOrganizing Systems
 EPrint:
 15 pages, 6 figures