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Building Social Networks

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Author Info
Robert P. Gilles
Sudipta Sarangi

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Abstract

We examine the process of building social relationships as a non-cooperative game that requires mutual consent and involves reaching out to others at a cost. Players create their social network from amongst their set of acquaintances. Having acquaintances allows players to form naive beliefs about the feasibility of building direct relationships with their acquaintances. These myopic beliefs describe how the other players are expected to respond to the initiation of a link by a 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 subset of the set of pairwise stable networks.

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File URL: http://www.diw.de/documents/publikationen/73/diw_01.c.44839.de/dp642.pdf
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Publisher Info
Paper provided by DIW Berlin, German Institute for Economic Research in its series Discussion Papers of DIW Berlin with number 642.

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Length: 28 p.
Date of creation: 2006
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Handle: RePEc:diw:diwwpp:dp642

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Related research
Keywords: Social networks; network formation; pairwise stability; trust; self-confirming equilibrium;

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Find related papers by 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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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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, 05. [Downloadable!] (restricted)
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  2. Sudipta Sarangi & Robert P. Gilles, . "Stable Networks and Convex Payoffs," Departmental Working Papers 2005-13, Department of Economics, Louisiana State University. [Downloadable!]
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  3. Fudenberg, Drew & Levine, David K, 1993. "Self-Confirming Equilibrium," Econometrica, Econometric Society, vol. 61(3), pages 523-45, May. [Downloadable!] (restricted)
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  4. Jackson, Matthew O. & Watts, Alison, 2002. "On the formation of interaction networks in social coordination games," Games and Economic Behavior, Elsevier, vol. 41(2), pages 265-291, November. [Downloadable!] (restricted)
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  5. Slikker, M. & Nouweland, A. van den, 1999. "Network formation models with costs for establishing links," Research Memorandum 771, Tilburg University, Faculty of Economics and Business Administration. [Downloadable!]
  6. Gilles, R.P. & Sarangi, S., 2004. "Social network formation with consent," Discussion Paper 70, Tilburg University, Center for Economic Research. [Downloadable!]
  7. Rod Garratt & Cheng-Zhong Qin, 2003. "On cooperation structures resulting from simultaneous proposals," Economics Bulletin, Economics Bulletin, vol. 3(5), pages 1-9. [Downloadable!]
  8. Stef Tijs & Anne van den Nouweland & Bhaskar Dutta, 1998. "Link formation in cooperative situations," International Journal of Game Theory, Springer, vol. 27(2), pages 245-256. [Downloadable!] (restricted)
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  9. 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. [Downloadable!] (restricted)
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  10. 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. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Rodrigo Harrison & Roberto Muñoz, 2008. "Stability and equilibrium selection in a link formation game," Economic Theory, Springer, vol. 37(2), pages 335-345, November. [Downloadable!] (restricted)
  2. Subhadip Chakrabarti & Robert Gilles, 2007. "Network potentials," Review of Economic Design, Springer, vol. 11(1), pages 13-52, June. [Downloadable!] (restricted)
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