Modelling opinion formation driven communities in social networks

Abstract In a previous paper we proposed a model to study the dynamics of opinion formation in human societies by a co-evolution process involving two distinct time scales of fast transaction and slower network evolution dynamics. In the transaction dynamics we take into account short range interactions as discussions between individuals and long range interactions to describe the attitude to the overall mood of society. The latter is handled by a uniformly distributed parameter α, assigned randomly to each individual, as quenched personal bias. The network evolution dynamics is realised by rewiring the societal network due to state variable changes as a result of transaction dynamics. The main consequence of this complex dynamics is that communities emerge in the social network for a range of values in the ratio between time scales. In this paper we focus our attention on the attitude parameter α and its influence on the conformation of opinion and the size of the resulting communities. We present numerical studies and extract interesting features of the model that can be interpreted in terms of social behaviour.

[1]  Gerardo Iñiguez,et al.  Opinion and community formation in coevolving networks. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  R. N. Costa Filho,et al.  Role of parties in the vote distribution of proportional elections , 2009 .

[3]  Mark S. Granovetter Economic Action and Social Structure: The Problem of Embeddedness , 1985, American Journal of Sociology.

[4]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[5]  S. Boorman,et al.  Social Structure from Multiple Networks. I. Blockmodels of Roles and Positions , 1976, American Journal of Sociology.

[6]  André A Moreira,et al.  Competitive cluster growth in complex networks. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Duncan J. Watts,et al.  The Structure and Dynamics of Networks: (Princeton Studies in Complexity) , 2006 .

[8]  S. Strogatz,et al.  Linguistics: Modelling the dynamics of language death , 2003, Nature.

[9]  V. Latora,et al.  Complex networks: Structure and dynamics , 2006 .

[10]  Maxi San Miguel,et al.  Ordering dynamics with two non-excluding options: bilingualism in language competition , 2006, physics/0609079.

[11]  Stanley Wasserman,et al.  Social Network Analysis: Methods and Applications , 1994, Structural analysis in the social sciences.

[12]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[13]  R. Rosenfeld Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[14]  S. Fortunato,et al.  Statistical physics of social dynamics , 2007, 0710.3256.

[16]  宁北芳,et al.  疟原虫var基因转换速率变化导致抗原变异[英]/Paul H, Robert P, Christodoulou Z, et al//Proc Natl Acad Sci U S A , 2005 .

[17]  A-L Barabási,et al.  Structure and tie strengths in mobile communication networks , 2006, Proceedings of the National Academy of Sciences.

[18]  VoLUME Xxxix,et al.  THE AMERICAN JOURNAL OF SOCIOLOGY , 2010 .

[19]  Gueorgi Kossinets,et al.  Empirical Analysis of an Evolving Social Network , 2006, Science.

[20]  Guido Caldarelli,et al.  Scale-Free Networks , 2007 .

[21]  October I Physical Review Letters , 2022 .

[22]  Albert-László Barabási,et al.  Internet: Diameter of the World-Wide Web , 1999, Nature.

[23]  R. Holley,et al.  Ergodic Theorems for Weakly Interacting Infinite Systems and the Voter Model , 1975 .

[24]  Andrea Lancichinetti,et al.  Detecting the overlapping and hierarchical community structure in complex networks , 2008, 0802.1218.

[25]  S. Fiske,et al.  Social Psychology , 2019, Encyclopedia of Personality and Individual Differences.

[26]  Alessandro Vespignani,et al.  Epidemic spreading in scale-free networks. , 2000, Physical review letters.

[27]  Jari Saramäki,et al.  Emergence of communities in weighted networks. , 2007, Physical review letters.

[28]  Albert-László Barabási,et al.  Evolution of Networks: From Biological Nets to the Internet and WWW , 2004 .

[29]  O. Bagasra,et al.  Proceedings of the National Academy of Sciences , 1914, Science.

[30]  Ericka Stricklin-Parker,et al.  Ann , 2005 .