Multiopinion coevolving voter model with infinitely many phase transitions.

Journal Article (Journal Article)

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 (1-α) 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 two-opinion case, we study the multiple-opinion 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/(1-α).

Full Text

Duke Authors

Cited Authors

  • Shi, F; Mucha, PJ; Durrett, R

Published Date

  • December 30, 2013

Published In

Volume / Issue

  • 88 / 6

Start / End Page

  • 062818 -

PubMed ID

  • 24483522

Pubmed Central ID

  • PMC5131864

Electronic International Standard Serial Number (EISSN)

  • 1550-2376

International Standard Serial Number (ISSN)

  • 1539-3755

Digital Object Identifier (DOI)

  • 10.1103/physreve.88.062818


  • eng