Interacting particle systems as stochastic social dynamics
Abstract
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.
Cite
@article{arxiv.1309.6766,
title = {Interacting particle systems as stochastic social dynamics},
author = {David Aldous},
journal= {arXiv preprint arXiv:1309.6766},
year = {2013}
}
Comments
Published in at http://dx.doi.org/10.3150/12-BEJSP04 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)