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Relating Network Structure to Diffusion Properties through Stochastic Dominance

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Author Info
Matthew O. Jackson (Stanford University)
Brian W. Rogers (Northwestern University)

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Abstract

We examine the spread of a disease or behavior through a social network. In particular, we analyze how infection rates depend on the distribution of degrees (numbers of links) among the nodes in the network. We introduce new techniques using first- and second order stochastic dominance relationships of the degree distribution in order to compare infection rates across different social networks.

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File URL: http://www.bepress.com/cgi/viewcontent.cgi?article=1341&context=bejte
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Publisher Info
Article provided by Berkeley Electronic Press in its journal The B.E. Journal of Theoretical Economics.

Volume (Year): 7 (2007)
Issue (Month): 1 ()
Pages:
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Handle: RePEc:bpj:bejtec:v:7:y:2007:i:1:n:6

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Web page: http://www.bepress.com/bejte

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Related research
Keywords: diffusion; infection; SIS; networks; social networks;

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Find related papers by JEL classification:
D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
A14 - General Economics and Teaching - - General Economics - - - Sociology of Economics
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Galeotti, Andrea & Vega-Redondo, Fernando, 2005. "Strategic analysis in complex networks with local externalities," Working Papers 1224, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  2. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September. [Downloadable!] (restricted)
  3. Matthew O. Jackson & Brian W. Rogers, 2007. "Meeting Strangers and Friends of Friends: How Random Are Social Networks?," American Economic Review, American Economic Association, vol. 97(3), pages 890-915, June. [Downloadable!]
  4. Dunia López-Pintado, 2004. "Diffusion In Complex Social Networks," Working Papers. Serie AD 2004-33, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  5. Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2008. "Network Games," Economics Working Papers ECO2008/07, European University Institute. [Downloadable!]
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Jan Lorenz & Stefano Battiston & Frank Schweitzer, 2009. "Systemic Risk in a Unifying Framework for Cascading Processes on Networks," Quantitative Finance Papers 0907.5325, arXiv.org. [Downloadable!]
  2. Roland Pongou & Roberto Serrano, 2009. "A Dynamic Theory of Fidelity Networks with an Application to the Spread of HIV/AIDS," Working Papers 2009-2, Brown University, Department of Economics. [Downloadable!]
    Other versions:
  3. Jackson, Matthew O. & Yariv, Leeat, 2006. "Diffusion of Behavior and Equilibrium Properties in Network Games," Working Papers 1264, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
    Other versions:
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This page was last updated on 2009-12-24.

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