Are Copying and Innovation Enough?

Abstract

Exact analytic solutions and various numerical results for the rewiring of bipartite networks are discussed. An interpretation in terms of copying and innovation processes make this relevant in a wide variety of physical contexts. These include Urn models and Voter models, and our results are also relevant to some studies of Cultural Transmission, the Minority Game and some models of ecology.

Contribution to the proceedings of ECMI08, based on a talk given by A.D.K.Plato as part of the minisymposium on Mathematics and Social Networks. Includes appendix of supplementary material not in published version

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