Berlin 2005 – wissenschaftliches Programm

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AKSOE: Physik sozio-ökonomischer Systeme

AKSOE 1: Dynamics of Groups and Organizations I

AKSOE 1.3: Vortrag

Freitag, 4. März 2005, 11:00–11:30, TU P-N203

Opinion formation and election results: analytical approach — •František Slanina — Institute of Physics, Academy of Sciences of the Czech Republic, Na Slovance 2, 18221 Praha, Czech Republic

The Sznajd model, which describes opinion formation and social influence, is treated analytically on a complete graph. We prove the existence of the phase transition in the original formulation of the model, while for the Ochrombel modification we find smooth behaviour without transition. We calculate the average time to reach the stationary state as well as the exponential tail of its probability distribution. An analytical argument for the observed 1/n dependence in the distribution of votes in Brazilian elections is provided.