An infinite stochastic model of social network formation

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:113

Article

Liggett, TM ; Rolles, SWW

关键词: interacting particle system;    invariant measures;    network formation;   

DOI  :  10.1016/j.spa.2004.03.011

来源: Elsevier

【 摘 要 】

We consider an infinite interacting particle system in which individuals choose neighbors according to evolving sets of probabilities. If x chooses y at some time, the effect is to increase the probability that y chooses x at later times. We characterize the extremal invariant measures for this process. In an extremal equilibrium, the set of individuals is partitioned into finite sets called stars, each of which includes a center that is always chosen by the other individuals in that set. (C) 2004 Elsevier B.V. All rights reserved.

【 授权许可】

Free