Multiparameter Models of Innovation Diffusion on Complex Networks

作者:McCullen N J*; Rucklidge A M; Bale C S E; Foxon T J; Gale W F
来源:SIAM Journal on Applied Dynamical Systems, 2013, 12(1): 515-532.
DOI:10.1137/120885371

摘要

A model, applicable to a range of innovation diffusion applications with a strong peer-to-peer component, is developed and studied, along with methods for its investigation and analysis. A particular application is to individual households deciding whether to install an energy efficiency measure in their home. The model represents these individuals as nodes on a network, each with a variable representing their current state of adoption of the innovation. The motivation to adopt is composed of three terms, representing personal preference, an average of each individual%26apos;s network neighbors%26apos; states, and a system average, which is a measure of the current social trend. The adoption state of a node changes if a weighted linear combination of these factors exceeds some threshold. Numerical simulations have been carried out, computing the average uptake after a sufficient number of time-steps over many randomizations at all model parameter values, on various network topologies, including random (Erdos-Renyi), small world (Watts-Strogatz), and (Newman) highly clustered, community-based networks. An analytical and probabilistic approach has been developed to account for the observed behavior, which explains the results of the numerical calculations.

  • 出版日期2013