Stable Networks and Convex Payoffs

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Stable Networks and Convex Payoffs

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Sudipta Sarangi ()
Robert P. Gilles ()

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Sudipta Sarangi

Abstract

Recently a variety of link-based stability concepts have emerged in the literature on game theoretic models of social network formation. We investigate two basic formation properties that establish equivalence between some well known types of stable networks and their natural extensions. These properties can be identified as convexity conditions on the network payoff structures.

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Paper provided by Department of Economics, Louisiana State University in its series Departmental Working Papers with number 2005-13.

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Handle: RePEc:lsu:lsuwpp:2005-13

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Paper
- Gilles, Robert P. & Sarangi, Sudipta, 2005. "Stable networks and convex payoffs," Discussion Paper 84, Tilburg University, Center for Economic Research. [Downloadable!]

This paper has been announced in the following NEP Reports:

NEP-ALL-2005-09-17 (All new papers)
NEP-GTH-2005-09-17 (Game Theory)
NEP-MIC-2005-09-17 (Microeconomics)
NEP-NET-2005-09-17 (Network Economics)
NEP-SOC-2005-09-17 (Social Norms & Social Capital)

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.:

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)
Other versions:
- Paul Belleflamme & Francis Bloch, 2001. "Market Sharing Agreements and Collusive Networks," Working Papers 443, Queen Mary, University of London, Department of Economics. [Downloadable!]
Bloch, Francis & Jackson, Matthew, 2004. "The Formation of Networks with Transfers among Players," Working Papers 1194, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
Other versions:
- Matthew O. Jackson & Francis Bloch, 2004. "The Formation of Networks with Transfers among Players," Working Papers 2004.80, Fondazione Eni Enrico Mattei. [Downloadable!]
- 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)
Gilles, R.P. & Sarangi, S., 2004. "Social network formation with consent," Discussion Paper 70, Tilburg University, Center for Economic Research. [Downloadable!]
Jackson, Matthew O. & van den Nouweland, Anne, 2005. "Strongly stable networks," Games and Economic Behavior, Elsevier, vol. 51(2), pages 420-444, May. [Downloadable!] (restricted)
Other versions:
- Matthew O. Jackson & Anne van den Nouweland, 2002. "Strongly Stable Networks," Microeconomics 0211006, EconWPA. [Downloadable!]
- Matthew O. Jackson & Anne van den Nouweland, 2001. "Strongly Stable Networks," University of Oregon Economics Department Working Papers 2001-3, University of Oregon Economics Department, revised 15 Nov 2002. [Downloadable!]
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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)
Other versions:
- Matthew O. Jackson & Asher Wolinsky, 1995. "A Strategic Model of Social and Economic Networks," Discussion Papers 1098R, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
- Matthew O. Jackson & Asher Wolinsky, 1994. "A Strategic Model of Social and Economic Networks," Discussion Papers 1098, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]

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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.)

Antoni Calvó-Armengol & Rahmi İlkılıç, 2009. "Pairwise-stability and Nash equilibria in network formation," International Journal of Game Theory, Springer, vol. 38(1), pages 51-79, March. [Downloadable!] (restricted)
Other versions:
- Antoni Calvó-Armengol & Rahmi Ilkiliç, 2005. "Pairwise-Stability and Nash Equilibria in Network Formation," Working Papers 2005.34, Fondazione Eni Enrico Mattei. [Downloadable!]
Sudipta Sarangi & Robert P. Gilles, . "The Role of Beliefs and Confidence in Building Social Networks," Departmental Working Papers 2005-15, Department of Economics, Louisiana State University. [Downloadable!]
Robert P. Gilles & Sudipta Sarangi, 2006. "Building Social Networks," Discussion Papers of DIW Berlin 642, DIW Berlin, German Institute for Economic Research. [Downloadable!]

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