The Sznajd dynamics in a social network

Krzysztof Malarz ,  Krzysztof Kułakowski 

AGH University of Science and Technology, Faculty of Physics and Applied Computer Science (AGH), Mickiewicza 30, Kraków 30-059, Poland

Abstract
The Sznajd model [1] is analyzed on an Erdös-Rènyi [2] directed network
where the clusterization coefficient is enhanced considerably [3,4]. Due
to the directed links, full accordance is not possible. The system
attains a stationary distribution of votes after time τ, which varies
  • linearly with the system size N,
  • exponentially with the initial discrepancy |p0–1/2| from the metastable state, where p0 is an initial fraction of the opinion S=–1 among actors
  • and follows power law vs. the probability of applying the Sznajd rule p.

[1] J. Sznajd and K. Sznajd-Weron, Int. J. Mod. Phys. C 11 (2000) 1157.

[2] B. Bollobas, Random Graphs, Cambridge UP 2001.

[3] P. Holme and B. J. Kim, Phys. Rev. E 65 (2002) 026107.

[4] A. Manka, K. Malarz and K. Kulakowski, Int. J. Mod. Phys. C (2007), in print (arXiv:physics/0701177).

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Presentation: Oral at 3 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych", by Krzysztof Malarz
See On-line Journal of 3 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych"

Submitted: 2007-09-11 14:19
Revised:   2009-06-07 00:44
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