Stationary state structure of a random copying mechanism over a complex network

Cesar Hidalgo, Francisco Claro H. and Pablo A. Marquet

Physica A: Statistical Mechanics and its Applications, 2005, vol. 353, issue C, 674-684

Abstract: An analytical approach to network dynamics is used to show that when agents copy their state randomly, the network arrives to a stationary regime in which the distribution of states is independent of the degree. The effects of network topology on the process are characterized introducing a quantity called influence and studying its behavior for scale-free and random networks. We show that for this model degree averaged quantities are constant in time regardless of the number of states involved.

Keywords: Complex networks; State dynamics; Sociophysics; Social dynamics; Opinion formation (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:353:y:2005:i:c:p:674-684

DOI: 10.1016/j.physa.2005.01.035

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