IDEAS home Printed from https://ideas.repec.org/a/bpj/bejtec/v7y2007i1n6.html
   My bibliography  Save this article

Relating Network Structure to Diffusion Properties through Stochastic Dominance

Author

Listed:
  • Jackson Matthew O.

    () (Stanford University)

  • Rogers Brian W.

    () (Northwestern University)

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.

Suggested Citation

  • Jackson Matthew O. & Rogers Brian W., 2007. "Relating Network Structure to Diffusion Properties through Stochastic Dominance," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 1-16, February.
  • Handle: RePEc:bpj:bejtec:v:7:y:2007:i:1:n:6
    as

    Download full text from publisher

    File URL: https://www.degruyter.com/view/j/bejte.2007.7.1/bejte.2007.7.1.1341/bejte.2007.7.1.1341.xml?format=INT
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Momi, Takeshi, 2001. "Non-existence of equilibrium in an incomplete stock market economy," Journal of Mathematical Economics, Elsevier, vol. 35(1), pages 41-70, February.
    2. Grossman, Sanford J & Hart, Oliver D, 1979. "A Theory of Competitive Equilibrium in Stock Market Economies," Econometrica, Econometric Society, vol. 47(2), pages 293-329, March.
    3. Albaek, Svend & Mollgaard, Peter & Overgaard, Per B, 1997. "Government-Assisted Oligopoly Coordination? A Concrete Case," Journal of Industrial Economics, Wiley Blackwell, vol. 45(4), pages 429-443, December.
    4. Oussama Lachiri & Jean-Marc Bonnisseau, 2004. "Dreze's Criterion In A Multi-Period Economy With Stock Markets," Royal Economic Society Annual Conference 2004 88, Royal Economic Society.
    5. Dierker, Egbert & Grodal, Birgit, 1996. "Profit Maximization Mitigates Competition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), pages 139-160.
    6. Grossman, Sanford J., 1977. "A characterization of the optimality of equilibrium in incomplete markets," Journal of Economic Theory, Elsevier, vol. 15(1), pages 1-15, June.
    7. Steinar Ekern & Robert Wilson, 1974. "On the Theory of the Firm in an Economy with Incomplete Markets," Bell Journal of Economics, The RAND Corporation, vol. 5(1), pages 171-180, Spring.
    8. Tarun Sabarwal, 2004. "On the Allocative Efficiency of Competitive Prices in Economies with Incomplete Markets," GE, Growth, Math methods 0410006, EconWPA.
    9. Egbert Dierker & Birgit Grodahl, 1995. "Profit maximization mitigates competition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), pages 139-160.
    10. Duffie, Darrell & Shafer, Wayne, 1985. "Equilibrium in incomplete markets: I : A basic model of generic existence," Journal of Mathematical Economics, Elsevier, vol. 14(3), pages 285-300, June.
    11. Dierker, Egbert & Grodal, Birgit, 1996. "Profit Maximization Mitigates Competition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), pages 139-160.
    12. Egbert Dierker & Hildegard Dierker & Birgit Grodal, 2002. "Nonexistence of Constrained Efficient Equilibria When Markets are Incomplete," Econometrica, Econometric Society, vol. 70(3), pages 1245-1251, May.
    13. Radner, Roy, 1972. "Existence of Equilibrium of Plans, Prices, and Price Expectations in a Sequence of Markets," Econometrica, Econometric Society, vol. 40(2), pages 289-303, March.
    14. Kelsey, David & Milne, Frank, 1996. "The existence of equilibrium in incomplete markets and the objective function of the firm," Journal of Mathematical Economics, Elsevier, vol. 25(2), pages 229-245.
    15. Joseph E. Stiglitz, 1982. "The Inefficiency of the Stock Market Equilibrium," Review of Economic Studies, Oxford University Press, vol. 49(2), pages 241-261.
    16. Elul Ronel, 1995. "Welfare Effects of Financial Innovation in Incomplete Markets Economies with Several Consumption Goods," Journal of Economic Theory, Elsevier, vol. 65(1), pages 43-78, February.
    17. Geanakoplos, J. & Magill, M. & Quinzii, M. & Dreze, J., 1990. "Generic inefficiency of stock market equilibrium when markets are incomplete," Journal of Mathematical Economics, Elsevier, pages 113-151.
    18. David Cass & Alessandro Citanna, 1998. "Pareto improving financial innovation in incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), pages 467-494.
    19. Peter M. DeMarzo, 1993. "Majority Voting and Corporate Control: The Rule of the Dominant Shareholder," Review of Economic Studies, Oxford University Press, vol. 60(3), pages 713-734.
    20. David Cass & Alessandro Citanna, 1998. "Pareto improving financial innovation in incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), pages 467-494.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bpj:bejtec:v:7:y:2007:i:1:n:6. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Peter Golla). General contact details of provider: https://www.degruyter.com .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.