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Network formation under mutual consent and costly communication

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  • Gilles, Robert P.
  • Sarangi, Sudipta

Abstract

We consider two different approaches to describe the formation of social networks under mutual consent and costly communication. First, we consider a network-based approach; in particular Jackson-Wolinsky's concept of pairwise stability. Next, we discuss a non-cooperative game-theoretic approach, through a refinement of the Nash equilibria of Myerson's consent game. This refinement, denoted as monadic stability, describes myopically forward looking behavior of the players. We show through an equivalence that the class of monadically stable networks is a strict subset of the class of pairwise stable networks that can be characterized fully by modifications of the properties defining pairwise stability.

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  • Gilles, Robert P. & Sarangi, Sudipta, 2010. "Network formation under mutual consent and costly communication," Mathematical Social Sciences, Elsevier, vol. 60(3), pages 181-185, November.
    • Handle: RePEc:eee:matsoc:v:60:y:2010:i:3:p:181-185
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    References listed on IDEAS

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    Cited by:

    1. Robert P. Gilles, 2019. "Building social networks under consent: A survey," Papers 1910.11693, arXiv.org, revised Apr 2020.
    2. 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.
    3. Ronak Jain & Vatsal Khandelwal, 2024. "Silent networks: The role of inaccurate beliefs in reducing useful social interactions," CSAE Working Paper Series 2024-06, Centre for the Study of African Economies, University of Oxford.
    4. Gilles, R.P. & Lazarova, E.A. & Ruys, P.H.M., 2011. "Economic Institutions and Stability : A Network Approach," Discussion Paper 2011-084, Tilburg University, Center for Economic Research.
    5. Chenghong Luo & Ana Mauleon & Vincent Vannetelbosch, 2022. "Coalition-proof stable networks," Review of Economic Design, Springer;Society for Economic Design, vol. 26(2), pages 185-209, June.
    6. Olaizola, Norma & Valenciano, Federico, 2015. "Unilateral vs. bilateral link-formation: A transition without decay," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 13-28.
    7. Pramod C. Mane & Kapil Ahuja & Nagarajan Krishnamurthy, 2020. "Stability, efficiency, and contentedness of social storage networks," Annals of Operations Research, Springer, vol. 287(2), pages 811-842, April.

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