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Games on Social Networks: On a Problem Posed by Goyal

Author

Listed:
  • Ali Kakhbod

    (University of Michigan, Ann Arbor)

  • Demosthenis Teneketzis

    (University of Michigan, Ann Arbor)

Abstract

Within the context of games on networks S. Goyal (Goyal (2007), pg. 39) posed the following problem. Under any arbitrary but fixed topology, does there exist at least one pure Nash equilibrium that exhibits a positive relation between the cardinality of a player's set of neighbors and its utility payoff? In this paper we present a class of games/topologies in which pure Nash equilibria with the above property do not exist.

Suggested Citation

  • Ali Kakhbod & Demosthenis Teneketzis, 2011. "Games on Social Networks: On a Problem Posed by Goyal," Economics Bulletin, AccessEcon, vol. 31(3), pages 2177-2184.
    • Handle: RePEc:ebl:ecbull:eb-10-00442
    as

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    File URL: http://www.accessecon.com/Pubs/EB/2011/Volume31/EB-11-V31-I3-P197.pdf
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    References listed on IDEAS

    as
    1. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521857406, Enero-Abr.
    2. Sanjeev Goyal, 2007. "Introduction to Connections: An Introduction to the Economics of Networks," Introductory Chapters, in: Connections: An Introduction to the Economics of Networks, Princeton University Press.
    3. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521674096, Enero-Abr.
    4. Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
    Full references (including those not matched with items on IDEAS)

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    JEL classification:

    • D0 - Microeconomics - - General
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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