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Meeting Strangers and Friends of Friends: How Random Are Social Networks?

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Author Info
Matthew O. Jackson
Brian W. Rogers

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Abstract

We present a dynamic model of network formation where nodes find other nodes with whom to form links in two ways: some are found uniformly at random, while others are found by searching locally through the current structure of the network (e.g., meeting friends of friends). This combination of meeting processes results in a spectrum of features exhibited by large social networks, including the presence of more high- and low-degree nodes than when links are formed independently at random, having low distances between nodes in the network, and having high clustering of links on a local level. We fit the model to data from six networks and impute the relative ratio of random to network-based meetings in link formation, which turns out to vary dramatically across applications. We show that as the random/network-based meeting ratio varies, the resulting degree distributions can be ordered in the sense of stochastic dominance, which allows us to infer how the formation process affects average utility in the network. (JEL D85, Z13)

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Publisher Info
Article provided by American Economic Association in its journal American Economic Review.

Volume (Year): 97 (2007)
Issue (Month): 3 (June)
Pages: 890-915
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Handle: RePEc:aea:aecrev:v:97:y:2007:i:3:p:890-915

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  1. Matthew Jackson & Brian Rogers, 2007. "Relating Network Structure to Diffusion Properties through Stochastic Dominance," Advances in Theoretical Economics, Berkeley Electronic Press, vol. 7(1), pages 1341-1341. [Downloadable!] (restricted)
  2. Vigier, A., 2008. "Globalization, Education, and the Topology of Social Networks," Cambridge Working Papers in Economics 0851, Faculty of Economics, University of Cambridge. [Downloadable!]
  3. Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2008. "Network Games," Economics Working Papers ECO2008/07, European University Institute. [Downloadable!]
  4. Erzo G.J. Luttmer, 2006. "Consumer search and firm growth," Working Papers 645, Federal Reserve Bank of Minneapolis. [Downloadable!]
  5. Sanjeev Goyal & Andrea Galeotti, 2007. "A Theory of Strategic Diffusion," Working Papers 2007.70, Fondazione Eni Enrico Mattei. [Downloadable!]
  6. Erzo G.J. Luttmer, 2008. "On the mechanics of firm growth," Working Papers 657, Federal Reserve Bank of Minneapolis. [Downloadable!]
  7. Erzo G.J. Luttmer, 2007. "On the Mechanics of Firm Growth," Working Papers 2007-4, University of Minnesota, Department of Economics, revised 10 2007. [Downloadable!]
  8. George Ehrhardt & Matteo Marsili & Fernando Vega-Redondo, 2008. "Networks Emerging in a Volatile World," Economics Working Papers ECO2008/08, European University Institute. [Downloadable!]
  9. Christian Ghiglino, 2007. "Random walk to innovation: why productivity follows a power law," Economics Discussion Papers 627, University of Essex, Department of Economics. [Downloadable!]
  10. Andrea Galeotti & Sanjeev Goyal, 2007. "A Theory of Strategic Diffusion," Economics Discussion Papers 635, University of Essex, Department of Economics. [Downloadable!]
  11. Mengel, Friederike & Fosco, Constanza, 2007. "Cooperation through Imitation and Exclusion in Networks," MPRA Paper 5258, University Library of Munich, Germany. [Downloadable!]
  12. Frédéric Deroïan & Christian Milelli & Zouhaïer M’Chirgui, 2007. "Evidences on inter-firm R&D partnerships in three high-tech industries," EconomiX Working Papers 2007-24, University of Paris West - Nanterre la Défense, EconomiX. [Downloadable!]
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