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|Title:||How homophily affects learning and diffusion in networks |
Jackson, Matthew O.
|Issue Date:||2009 |
|Series/Report no.:||Nota di lavoro // Fondazione Eni Enrico Mattei: Sustainable development 35.2009|
|Abstract:||We examine how three different communication processes operating through social networks are affected by homophily - the tendency of individuals to associate with others similar to themselves. Homophily has no effect if messages are broadcast or sent via shortest paths; only connection density matters. In contrast, homophily substantially slows learning based on repeated averaging of neighbors' information and Markovian diffusion processes such as the Google random surfer model. Indeed, the latter processes are strongly affected by homophily but completely independent of connection density, provided this density exceeds a low threshold. We obtain these results by establishing new results on the spectra of large random graphs and relating the spectra to homophily. We conclude by checking the theoretical predictions using observed high school friendship networks from the Adolescent Health dataset.|
Speed of Learning
Speed of Convergence
|Document Type:||Working Paper|
|Appears in Collections:||FEEM Working Papers, Fondazione Eni Enrico Mattei |
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