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Random Graphs and Social Networks: An Economics Perspective

  • Yannis M. Ioannides

This review of current research on networks emphasizes three strands of the literature on social networks. The first strand is composed of models of endogenous network formation from both the economics and the computer science literature. The review highlights the sen- sitive dependence of the topology of endogenous networks on parameters of the behavioral models employed. The second strand draws from the recent econophysics literature in order to review the recent revival of interest in the random graph theory. This mathematical tool allows one to study social networks that result from uncoordinated random action of indi- viduals in setting up connections with others. The review explores a number of examples to assess the potential of recent research on random graphs with arbitrary degree distributions in accommodating more general behavioral motivations for social network formation. The third strand focuses on a specific model of social networks, Markov random graphs, that is quite central in the mathematical sociology and spatial statistics literatures but little known outside those literatures. These are random graphs where the events that different edges are present are dependent, if edges are incident to the same node, and independent, otherwise. The paper assesses the potential for economic applications with this particular tool. The paper concludes with an assessment of observable consequences of optimizing behavior in networks for the purpose of estimation.

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Paper provided by Department of Economics, Tufts University in its series Discussion Papers Series, Department of Economics, Tufts University with number 0518.

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Date of creation: 2005
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Handle: RePEc:tuf:tuftec:0518
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  8. Rosenblat, Tanya & Mobius, Markus, 2010. "Getting Closer or Drifting Apart?," Staff General Research Papers 32113, Iowa State University, Department of Economics.
  9. James Albrecht & Pieter Gautier, 2004. "Equilibrium Directed Search with Multiple Applications," Econometric Society 2004 Latin American Meetings 330, Econometric Society.
  10. Sanjeev Goyal & Marco van der Leij & Jose Luis Moraga, 2004. "Economics: An Emerging Small World?," Tinbergen Institute Discussion Papers 04-001/1, Tinbergen Institute.
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  13. Robert Shimer, 2001. "The Assignment of Workers to Jobs In an Economy with Coordination Frictions," NBER Working Papers 8501, National Bureau of Economic Research, Inc.
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  20. Cameron, A Colin & Trivedi, Pravin K, 1986. "Econometric Models Based on Count Data: Comparisons and Applications of Some Estimators and Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 1(1), pages 29-53, January.
  21. Gerard R. Butters, 1977. "Equilibrium Distributions of Sales and Advertising Prices," Review of Economic Studies, Oxford University Press, vol. 44(3), pages 465-491.
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  23. Kirman, Alan P & Oddou, Claude & Weber, Shlomo, 1986. "Stochastic Communication and Coalition Formation," Econometrica, Econometric Society, vol. 54(1), pages 129-38, January.
  24. George A. Akerlof, 1981. "Jobs as Dam Sites," Review of Economic Studies, Oxford University Press, vol. 48(1), pages 37-49.
  25. Sanjeev Goyal & Fernando Vega-Redondo, 2000. "Learning, Network Formation and Coordination," Tinbergen Institute Discussion Papers 00-093/1, Tinbergen Institute.
  26. Ionnides, Yannis M, 1990. "Trading Uncertainty and Market Form," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(3), pages 619-38, August.
  27. Matthew O. Jackson & Brian W. Rogers, 2005. "The Economics of Small Worlds," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 617-627, 04/05.
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