Are Copying and Innovation Enough?

TL;DR

This paper provides exact solutions and numerical analyses for bipartite network rewiring, interpreting the results through copying and innovation processes relevant across diverse physical and social models.

Contribution

It introduces a unified analytical framework for bipartite network rewiring based on copying and innovation, applicable to various models in physics, ecology, and social sciences.

Findings

Exact analytic solutions for network rewiring

Numerical results illustrating process dynamics

Interpretation in terms of copying and innovation

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.