- Volume 19, Number 4 (2013), 1122-1149.
Interacting particle systems as stochastic social dynamics
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.
Bernoulli, Volume 19, Number 4 (2013), 1122-1149.
First available in Project Euclid: 27 August 2013
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Aldous, David. Interacting particle systems as stochastic social dynamics. Bernoulli 19 (2013), no. 4, 1122--1149. doi:10.3150/12-BEJSP04. https://projecteuclid.org/euclid.bj/1377612846