SZNAJD MODEL AND PROPORTIONAL ELECTIONS: THE ROLE OF THE TOPOLOGY OF THE NETWORK

Fabio Stucchi Vannucchi () and Carmen P. C. Prado ()
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Fabio Stucchi Vannucchi: Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05314-970 São Paulo, SP, Brazil
Carmen P. C. Prado: Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05314-970 São Paulo, SP, Brazil

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 06, 979-990

Abstract: The Sznajd model (SM) has been employed with success in the last years to describe opinion propagation in a community. In particular, it has been claimed that its transient is able to reproduce some scale properties observed in data of proportional elections, in different countries, if the community structure (the network) is scale-free. In this work, we investigate the properties of the transient of a particular version of the SM, introduced by Bernardes and co-authors in 2002. We studied the behavior of the model in networks of different topologies through the time evolution of an order parameter known asinterface density, and concluded that regular lattices with high dimensionality also leads to a power-law distribution of the number of candidates withvvotes. Also, we show that the particular absorbing state achieved in the stationary state (or else, the winner candidate), is related to a particular feature of the model, that may not be realistic in all situations.

Keywords: Sznajd model; opinion dynamics; sociophysics; complex networks; proportional elections; 05.50.+q; 64.60.aq; 64.60.De; 87.23.Ge; 89.65.-s; 89.75.-k (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0129183109014102

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