NETWORK OF SOCIAL GROUPS OR LET'S HAVE A PARTY

Marian Brandau () and Steffen Trimper ()
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Marian Brandau: Fachbereich Physik, Martin–Luther–Universität, 06099 Halle (Saale), Germany
Steffen Trimper: Fachbereich Physik, Martin–Luther–Universität, 06099 Halle (Saale), Germany

International Journal of Modern Physics C (IJMPC), 2006, vol. 17, issue 04, 511-520

Abstract: We present a simple model for growing up and depletion of parties due to the permanent communication between the participants of the events. Because of the rapid exchange of information, everybody is able to evaluate its own and all other parties by means of the list of its friends. Therefore, the number of participants at different parties can be changed incessantly. Depending on the depth of the social contacts, which will be characterized by a parameter α, a stable distribution of party members emerges. At a criticalαcan abrupt depletion of almost all parties is observed and as the consequence all the people are assembled at a single party. The model is based on a hierarchical social network. The probability that a certain person is contacted by another one depends on the social distance introduced within the network and homophily parameter α.

Keywords: Social networks; scale free networks; sociophysics; dynamic models (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S0129183106008649

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