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Random Graphs and Social Networks: An Economics Perspective

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  • Yannis M. Ioannides

Abstract

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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Bibliographic Info

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
Date of revision:
Handle: RePEc:tuf:tuftec:0518

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  14. Yannis M. Ioannides & Adriaan R. Soetevent, 2005. "Social Networking and Individual Outcomes Beyond the Mean Field Case," Discussion Papers Series, Department of Economics, Tufts University 0521, Department of Economics, Tufts University.
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  21. Sanjeev Goyal & Sumit Joshi, 2006. "Unequal connections," International Journal of Game Theory, Springer, vol. 34(3), pages 319-349, October.
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Citations

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Cited by:
  1. Antoni Calvo-Armengol & Yannis M. Ioannides, 2005. "Social Networks in Labor Markets," Discussion Papers Series, Department of Economics, Tufts University 0517, Department of Economics, Tufts University.
  2. Darlene C. Chisholm & Margaret S. McMillan & George Norman, 2005. "Product Differentiation and Film Programming Choice: Do First-Run Movie Theatres Show the Same Films?," Discussion Papers Series, Department of Economics, Tufts University 0523, Department of Economics, Tufts University.
  3. Gilbert Metcalf & Jongsang Park, 2007. "A comment on the role of prices for excludable public goods," International Tax and Public Finance, Springer, vol. 14(6), pages 685-698, December.
  4. Yannis M. Ioannides & Adriaan R. Soetevent, 2005. "Social Networking and Individual Outcomes Beyond the Mean Field Case," Discussion Papers Series, Department of Economics, Tufts University 0521, Department of Economics, Tufts University.
  5. Darlene Chisholm & George Norman, 2005. "When to Exit a Product: Evidence from the U.S. Motion-Pictures Exhibition Market," Discussion Papers Series, Department of Economics, Tufts University 0522, Department of Economics, Tufts University.

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