2006
DOI: 10.1016/j.physa.2005.06.102
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Ising-based model of opinion formation in a complex network of interpersonal interactions

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Cited by 95 publications
(57 citation statements)
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“…If the spin-spin couplings are renormalized according to this principle, the Ising model on scale-free networks always has a ferromagnetic threshold, whereas it is known that, with uniform couplings, networks with infinite degree variance are magnetized at any temperature (Aleksiejuk et al, 2002;Leone et al, 2002). The issue of how opinion dynamics is influenced by the hierarchical structure in societies/organizations has also been investigated (Grabowski and Kosiński, 2006b;Laguna et al, 2005). Other authors investigated fashion (Nakayama and Nakamura, 2004), the interplay between opinions and personal taste (Bagnoli et al, 2004) and the effect of opinion surveys on the outcome of elections (Alves et al, 2002).…”
Section: G Other Modelsmentioning
confidence: 99%
“…If the spin-spin couplings are renormalized according to this principle, the Ising model on scale-free networks always has a ferromagnetic threshold, whereas it is known that, with uniform couplings, networks with infinite degree variance are magnetized at any temperature (Aleksiejuk et al, 2002;Leone et al, 2002). The issue of how opinion dynamics is influenced by the hierarchical structure in societies/organizations has also been investigated (Grabowski and Kosiński, 2006b;Laguna et al, 2005). Other authors investigated fashion (Nakayama and Nakamura, 2004), the interplay between opinions and personal taste (Bagnoli et al, 2004) and the effect of opinion surveys on the outcome of elections (Alves et al, 2002).…”
Section: G Other Modelsmentioning
confidence: 99%
“…In the simplest form of the model (on a 2-dimensional lattice without an external magnetic field) one observes a second-order phase transition of magnetization as a function of temperature. 1 In addition to its prominence in Theoretical Physics, this model -due to its simplicity and the fundamental relevance in systems of interacting two-state elementshas been applied to a multitude of real-world phenomena across a wide range of disciplines, ranging from opinion formation [34] to biological membranes [35]. The model itself and its diverse extensions (e.g., spin glasses, [36], or the Hopfield model, [37]) have also had a strong impact on Systems Biology.…”
Section: Physics and Systems Biology -Some Rules Of Interactionmentioning
confidence: 99%
“…Agent based variants of such a model have further been studied by Yasutomi [12,13] and Górski et al [14] who by numerical simulations demonstrated that they are able to reveal money emergence as well as its collapse. In general, agent based models [15,16] find an increasing number of promising applications in various areas of economics [12,17,18,19,20,21] and in social sciences [22,23,24,25,26] and the need for this kind of approaching the related phenomena, especially in an economic context, is being expressed more and more forcefully [27,28,29]. For all these reasons in the present contribution, we further pursue simulations based on an agent based model which from an initial barter trading is able to spontaneously elevate one of the commodities to the money status.…”
Section: Introductionmentioning
confidence: 99%