Local interaction scale controls the existence of a non-trivial optimal critical mass in opinion spreading
2010 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 82, no 2, 022102- p.Article in journal (Refereed) Published
We study a model of opinion formation where the collective decision of a group is said to happen if the fraction of agents having the most common opinion exceeds a threshold value, a critical mass. We find that there exists a unique nontrivial critical mass giving the most efficient convergence to consensus. In addition, we observe that for small critical masses, the characteristic time scale for the relaxation to consensus splits into two. The shorter time scale corresponds to a direct relaxation and the longer one can be explained by the existence of intermediate metastable states similar to those found in [P. Chen and S. Redner, Phys. Rev. E 71, 036101 (2005)]. This longer time scale is dependent on the precise condition for consensus—with a modification of the condition it can go away.
Place, publisher, year, edition, pages
2010. Vol. 82, no 2, 022102- p.
IdentifiersURN: urn:nbn:se:umu:diva-35592DOI: 10.1103/PhysRevE.82.022102ISI: 000280826800007OAI: oai:DiVA.org:umu-35592DiVA: diva2:345376