An Overview of Diffusion in Complex Networks
Dunia López-Pintado ()
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Dunia López-Pintado: Department of Economics, Universidad Pablo de Olavide; CORE, Université catholique de Louvain
No 16.10, Working Papers from Universidad Pablo de Olavide, Department of Economics
Abstract:
We survey a series of theoretical contributions on diffusion in random networks. We start with a benchmark contagion process, referred in the epidemiology literature as the Susceptible-Infected-Susceptible model, which describes the spread of an infectious disease in a population. To make this model tractable, the interaction structure is considered as a heterogeneous sampling process characterized by the degree distribution. Within this framework, we distinguish between the case of unbiased-degree networks and biased-degree networks. We focus on the characterization of the diffusion threshold; that is, a condition on the primitives of the model that guarantees the spreading of the product to a significant fraction of the population, and its persistence. We also extend the analysis introducing a general diffusion model with features that are more appropriate for describing the diffusion of a new product, idea, behavior, etc.
Keywords: degree distribution; random networks; diffusion threshold; endemic state; homophily. (search for similar items in EconPapers)
JEL-codes: C73 L14 O31 O33 (search for similar items in EconPapers)
Pages: 25 pages
Date: 2016-10
New Economics Papers: this item is included in nep-gth
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Persistent link: https://EconPapers.repec.org/RePEc:pab:wpaper:16.10
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