An infinite stochastic model of social network formation

Thomas M. Liggett and Silke W. W. Rolles

Stochastic Processes and their Applications, 2004, vol. 113, issue 1, 65-80

Abstract: 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.

Keywords: Interacting; particle; system; Invariant; measures; Network; formation (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (2)

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