Abstract
We present a model of opinions on simplicial complexes characterized by traits. The population of agents is situated at the sites of three types of scale-free networks of different sizes which display two important characteristics of real-world social networks: clustering and modularity. A new method of opinion formation is presented using advantages of simplicial complex approach. The dynamics is twofold: the agents change their opinions and new opinions are created. Topological invariants of simplicial complexes reveal relationships among opinions, particularly those which survive.
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References
Castellano, C., Fortunato, S., Loreto, V.: Statistical physics of social dynamics. Rev. Mod. Phys. (in press) preprint arXiv:0710.3256
Sznajd-Weron, K., Sznajd, J.: Opinion evolution in closed community. Int. J. of Mod. Phys. C 11, 1157–1165 (2000)
Stauffer, D.: Monte Carlo simulations of Sznajd model. J. of Art. Soc. and Soc. Sim. 5(1), 4 (2001)
Deffuant, G., Neau, D., Amblard, F., Weisbuch, G.: Mixing beliefs among interacting agents. Adv. in Comp. Sys. 3, 87–98 (2000)
Deffuant, G., Amblard, F., Weisbuch, G., Faure, T.: How can extremism prevail? A study based on the relative agreement interaction model. J. of Art. Soc. and Soc. Sim. 5(4), 1 (2002)
Stauffer, D., Sousa, A., Schulze, C.: Discretized Opinion Dynamics of the Deffuant Model on Scale-Free Networks. J. of Art. Soc. and Soc. Sim. 7(3), 7 (2004)
Axelrod, R.: The Dissemination of Culture: A Model with Local Convergence and Global Polarization. J. of Confl. Res. 4(2), 203–226 (1997)
Dall’ Asta, L., Baronchelli, A., Barrat, A., Loreto, V.: Nonequalibrium dynamics of language games on complex networks. Phys. Rev. E 74, 036105 (2006)
Maletić, S., Rajković, M., Vasiljević, D.: Simplicial Complexes of Networks and Their Statistical Properties. In: Bubak, M., van Albada, G.D., Dongarra, J., Sloot, P.M.A. (eds.) ICCS 2008, Part II. LNCS, vol. 5102, pp. 568–575. Springer, Heidelberg (2008)
Barabási, A.-L., Albert, R., Jeong, H.: Mean-field theory for scale-free random networks. Phys. A 272, 173 (1999)
Mitrović, M., Tadić, B.: Spectral and Dynamical Properties in Classes of Sparse Networks with Mesoscopic Inhomogeneity (preprint) arXiv:0809.4850v1
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Maletić, S., Rajković, M. (2009). Simplicial Complex of Opinions on Scale-Free Networks. In: Fortunato, S., Mangioni, G., Menezes, R., Nicosia, V. (eds) Complex Networks. Studies in Computational Intelligence, vol 207. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01206-8_11
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DOI: https://doi.org/10.1007/978-3-642-01206-8_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-01205-1
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