Abstract
In this paper, we study the opinion dynamics of Improved Deffuant model (IDM), where the convergence parameter μ is a function of the opposite’s degree K according to the celebrity effect, in small-world network (SWN) and scale-free network (SFN). Generically, the system undergoes a phase transition from the plurality state to the polarization state and to the consensus state as the confidence parameter ε increasing. Furthermore, the evolution of the steady opinion s * as a function of ε, and the relation between the minority steady opinion \(s_{*}^{min}\) and the individual connectivity k also have been analyzed. Our present work shows the crucial role of the confidence parameter and the complex system topology in the opinion dynamics of IDM.
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References
Liljeros, F., Edling, C.R., Amaral, L.A.N., Stanley, H.E., Aberg, Y.: The web of human sexual contacts. Nature 411, 907 (2001)
Watts, D.J., Strogatz, S.H.: Collective dynamics of ’small-world’ networks. Nature 393, 440 (1998)
Barabási, A.-L., Albert, R.: Emergence of Scaling in Random Networks. Science 286, 509 (1999)
Newman, M.E.J.: The structure of scientific collaboration networks. Proc. Natl. Acad. Sci. U.S.A. 98, 404 (2001)
Barabási, A.-L., Jeong, H., Néda, Z., Ravasz, E., Schubert, A., Vicsek, T.: Evolution of the social network of scientific collaborations. Physica A 311, 590 (2002)
Csányi, G., Szendrői, B.: Structure of a large social network. Phys. Rev. E 69, 036131 (2004)
Wang, F., Moreno, Y., Sun, Y.: Structure of peer-to-peer social networks. Phys. Rev. E 73, 036123 (2006)
Goh, K.-I., Eom, Y.-H., Jeong, H., Kahng, B., Kim, D.: Structure and evolution of online social relationships: Heterogeneity in unrestricted discussions. Phys. Rev. E 73, 066123 (2006)
Latané, B.: The psychology of social impact. American Psychologist 36, 343 (1981)
Latané, B., Wolf, S.: The social impact of majorities and minorities. Psychological Review 88, 438 (1981)
Sznajd-Weron, K., Sznajd, J.: Opinion evolution in closed community. Int. J. Mod. Phys. C 11, 1157 (2000)
Deffuant, G., Neau, D., Amblard, F., Weisbuch, G.: Mixing beliefs among interacting agents. Adv. Complex Systems 3, 87 (2000)
Boccaletti, S., Latora, V., Moreno, Y., Chavez, M., Hwang, D.-U.: Complex networks: structure and dynamics. Phys. Rep. 424, 175 (2006)
Albert, R., Barabási, A.-L.: Statistical mechanics of complex networks. Rev. Mod. Phys. 74, 47 (2002)
Porfiri, M., Bollt, E.M., Stilwell, D.J.: Decline of minorities in stubborn societies. Eur. Phys. J. B 57, 481 (2007)
Weisbuch, G., Dedduant, G., Amblard, F.: Persuasion dynamics. Physica A 353, 555 (2005)
Kozma, B., Barrat, A.: Consensus formation on adaptive networks. Phys. Rev. E 77, 016102 (2008)
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© 2009 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering
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Guo, L., Cai, X. (2009). Bifurcation Phenomena of Opinion Dynamics in Complex Networks. In: Zhou, J. (eds) Complex Sciences. Complex 2009. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02466-5_114
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DOI: https://doi.org/10.1007/978-3-642-02466-5_114
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