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Nash equilibria of network formation games under consent

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  • Gilles, Robert P.
  • Chakrabarti, Subhadip
  • Sarangi, Sudipta

Abstract

We investigate the Nash equilibria of game theoretic models of network formation based on explicit consent in link formation. These so-called “consent models” explicitly take account of link formation costs. We provide characterizations of Nash equilibria of such consent models under both one-sided and two-sided costs of link formation. We relate these equilibrium concepts to link-based stability concepts, in particular strong link deletion proofness.

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  • Gilles, Robert P. & Chakrabarti, Subhadip & Sarangi, Sudipta, 2012. "Nash equilibria of network formation games under consent," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 159-165.
    • Handle: RePEc:eee:matsoc:v:64:y:2012:i:2:p:159-165
    DOI: 10.1016/j.mathsocsci.2012.03.005
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    1. Page, Frank Jr. & Wooders, Myrna H. & Kamat, Samir, 2005. "Networks and farsighted stability," Journal of Economic Theory, Elsevier, vol. 120(2), pages 257-269, February.
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    9. Hans Haller & Jurjen Kamphorst & Sudipta Sarangi, 2007. "(Non-)existence and Scope of Nash Networks," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 597-604, June.
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    Cited by:

    1. Sarkhel, Manish & Gupta, Sonakshi, 2023. "Consensus through connections," Economics Letters, Elsevier, vol. 232(C).
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    3. Ding, Sihua, 2022. "Link investment substitutability: A factor influencing network formation," Games and Economic Behavior, Elsevier, vol. 136(C), pages 340-359.

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    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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