2008/01/31 by B. Kozma, Balazs Kozma, Alain Barrat
Physics and Astronomy · Social Sciences · #Complex Network Analysis Techniques #Evolutionary Game Theory and Cooperation #Opinion Dynamics and Social Influence #physics.soc-ph
paper · pdf · doi:10.1088/1751-8113/41/22/224020
published as J. Phys. A: Math. Theor. 41 (2008) 224020. · 10 pages, 3 figures,to appear in a special proceedings issue of J. Phys. A covering the "Complex Networks: from Biology to Information Technology" conference (Pula, Italy, 2007)
arxiv created 2008/01/31 · openalex publication_date 2008/05/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the effect of adaptivity on a social model of opinion dynamics and consensus formation. We analyse how the adaptivity of the network of contacts between agents to the underlying social dynamics affects the size and topological properties of groups and the convergence time to the stable final state. We find that, while on static networks these properties are determined by percolation phenomena, on adaptive networks the rewiring process leads to different behaviors: adaptive rewiring fosters group formation by enhancing communication between agents of similar opinion, though it also makes possible the division of clusters. We show how the convergence time is determined by the characteristic time of link rearrangement. We finally investigate how the adaptivity yields nontrivial correlations between the internal topology and the size of the groups of agreeing agents. PACS numbers: 89.75.−k, −87.23.Ge, 05.40.−a (Some figures in this article are in colour only in the electronic version) 1.