Open Access
September 2013 Interacting particle systems as stochastic social dynamics
David Aldous
Bernoulli 19(4): 1122-1149 (September 2013). DOI: 10.3150/12-BEJSP04


The style of mathematical models known to probabilists as Interacting Particle Systems and exemplified by the Voter, Exclusion and Contact processes have found use in many academic disciplines. In many such disciplines the underlying conceptual picture is of a social network, where individuals meet pairwise and update their “state” (opinion, activity etc) in a way depending on the two previous states. This picture motivates a precise general setup we call Finite Markov Information Exchange (FMIE) processes. We briefly describe a few less familiar models (Averaging, Compulsive Gambler, Deference, Fashionista) suggested by the social network picture, as well as a few familiar ones.


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David Aldous. "Interacting particle systems as stochastic social dynamics." Bernoulli 19 (4) 1122 - 1149, September 2013.


Published: September 2013
First available in Project Euclid: 27 August 2013

zbMATH: 1278.60141
MathSciNet: MR3102546
Digital Object Identifier: 10.3150/12-BEJSP04

Keywords: Epidemic , Interacting particle system , Markov chain , Social network , voter model

Rights: Copyright © 2013 Bernoulli Society for Mathematical Statistics and Probability

Vol.19 • No. 4 • September 2013
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