IDEAS home Printed from https://ideas.repec.org/p/stn/sotoec/9712.html
   My bibliography  Save this paper

Interactive contagion

Author

Listed:
  • Lee, I.H.
  • Valentinyi, A.

Abstract

A local interaction game is a game where agents play an identical stage game against their neighbors over time. This paper obtains a general result on the long-run equilibrium distribution of the local interaction game whose stage game is the 2 x 2 coordination game. It is established that starting from a random initial configuration with a positive probability of playing the risk dominant strategy, a sufficiently large population coordinates on the risk dominant equilibrium with probability 1 for the nearest neighbor interaction Our result improves previous ones including Blume (1995), Ellison (1993,1995), and Morris (1997) in a non-trivial way. It proves that there is an interactive contagion mechanism through which the risk dominant equilibrium may spread, in addition to the autonomous mechanism considered by others. Taking advantage of the mechanism we prove that for the nearest neighbor interaction, half dominance is sufficient for the degenerate long-run equilibrium distribution concentrated on the risk dominant strategy.

Suggested Citation

  • Lee, I.H. & Valentinyi, A., 1997. "Interactive contagion," Discussion Paper Series In Economics And Econometrics 9712, Economics Division, School of Social Sciences, University of Southampton.
  • Handle: RePEc:stn:sotoec:9712
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    References listed on IDEAS

    as
    1. Groves, Theodore & Ledyard, John O, 1977. "Optimal Allocation of Public Goods: A Solution to the "Free Rider" Problem," Econometrica, Econometric Society, vol. 45(4), pages 783-809, May.
    2. Hurwicz, Leonid, 1979. "On allocations attainable through Nash equilibria," Journal of Economic Theory, Elsevier, vol. 21(1), pages 140-165, August.
    3. Groves, Theodore & Ledyard, John O, 1980. "The Existence of Efficient and Incentive Compatible Equilibria with Public Goods," Econometrica, Econometric Society, vol. 48(6), pages 1487-1506, September.
    4. L. Hurwicz, 1979. "Outcome Functions Yielding Walrasian and Lindahl Allocations at Nash Equilibrium Points," Review of Economic Studies, Oxford University Press, vol. 46(2), pages 217-225.
    5. Tian, Guoqiang, 1988. "On the constrained Walrasian and Lindahl correspondences," Economics Letters, Elsevier, vol. 26(4), pages 299-303.
    6. Laffont, Jean-Jacques & Maskin, Eric, 1980. "A Differential Approach to Dominant Strategy Mechanisms," Econometrica, Econometric Society, vol. 48(6), pages 1507-1520, September.
    7. Guoqiang Tian, 1989. "Implementation of the Lindahl Correspondence by a Single-Valued, Feasible, and Continuous Mechanism," Review of Economic Studies, Oxford University Press, vol. 56(4), pages 613-621.
    8. Andrew Postlewaite & David Wettstein, 1989. "Feasible and Continuous Implementation," Review of Economic Studies, Oxford University Press, vol. 56(4), pages 603-611.
    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:stn:sotoec:9712. 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: (Chris Thorn). General contact details of provider: http://edirc.repec.org/data/desotuk.html .

    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.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with 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.