Generalized voter-like models on heterogeneous networks
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This Chapter presents a generalized model of consensus formation, which is able to encompass all previous formulations of copy/invasion processes inspired by variations on the voter model and the Moran process. It considered the implementation of such generalized dynamics on a heterogeneous contact pattern, represented by a complex network, and derived the theoretical predictions for the relevant dynamical quantities, within the assumptions of the heterogeneous mean-field theory. The chapter provides a brief review of previous results that can be recovered by this generalized formalism, and considers a novel application to the case of opinion formation in a social network. In particular, it addressed the case in which the opinion strength of an individual is related to his/her degree centrality in the network.
CitationMoretti, P., Baronchelli, A., Starnini, M., Pastor-Satorras, R. Generalized voter-like models on heterogeneous networks. A: "Dynamics on and of complex networks: time-varying dynamical networks". Springer, 2013, p. 285-300.