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The Role of Beliefs and Confidence in Building Social Networks

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  • Sudipta Sarangi
  • Robert P. Gilles

Abstract

We examine the process of building social relationships in a non-cooperative game where such link formation is costly and requires mutual consent. We provide a noncooperative foundation for several link-based network stability concepts that have been studied in the literature on network formation. In our model players form myopic beliefs about the feasibility of building direct relationships with their acquaintances. These beliefs represent how each neighbor of a player is expected to respond to the initiation of a link by that player. We introduce a stability concept called �monadic stability� where agents play a best response to their formed myopic beliefs such that these beliefs are self-confirming. The resulting equilibrium networks form a class of networks that are shown to have some very appealing properties.

Suggested Citation

  • Sudipta Sarangi & Robert P. Gilles, 2005. "The Role of Beliefs and Confidence in Building Social Networks," Departmental Working Papers 2005-15, Department of Economics, Louisiana State University.
    • Handle: RePEc:lsu:lsuwpp:2005-15
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    File URL: https://www.lsu.edu/business/economics/files/workingpapers/pap05_15.pdf
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    References listed on IDEAS

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    1. Stef Tijs & Anne van den Nouweland & Bhaskar Dutta, 1998. "Link formation in cooperative situations," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(2), pages 245-256.
    2. Rod Garratt & Cheng-Zhong Qin, 2003. "On cooperation structures resulting from simultaneous proposals," Economics Bulletin, AccessEcon, vol. 3(5), pages 1-9.
    3. 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.
    4. Fudenberg, Drew & Levine, David K, 1993. "Self-Confirming Equilibrium," Econometrica, Econometric Society, vol. 61(3), pages 523-545, May.
    5. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
    6. Bloch, Francis & Jackson, Matthew O., 2007. "The formation of networks with transfers among players," Journal of Economic Theory, Elsevier, vol. 133(1), pages 83-110, March.
    7. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    8. Gilles, R.P. & Sarangi, S., 2005. "Stable Networks and Convex Payoffs," Other publications TiSEM 39cf595b-19d9-4b4a-8fc8-d, Tilburg University, School of Economics and Management.
    9. Paul Belleflamme & Francis Bloch, 2004. "Market sharing agreements and collusive networks," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 387-411, May.
    10. repec:ebl:ecbull:v:3:y:2003:i:5:p:1-9 is not listed on IDEAS
    11. Demange,Gabrielle & Wooders,Myrna (ed.), 2005. "Group Formation in Economics," Cambridge Books, Cambridge University Press, number 9780521842716, October.
    12. Jackson, Matthew O. & Watts, Alison, 2002. "The Evolution of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 106(2), pages 265-295, October.
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