Network potentials
Abstract
A network payoff function assigns a utility to all participants in a (social) network. In this paper we discuss properties of such network payoff functions that guarantee the existence of certain types of pairwise stable networks and the convergence of certain network formation processes. In particular we investigate network payoff functions that admit an exact network potential or an ordinal network potential. We relate these network potentials to exact and ordinal potentials of a non-cooperative network formation game based on consent in link formation. Our main results extend and strengthen the current insights in the literature on game theoretic approaches to social network formation.(This abstract was borrowed from another version of this item.)
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Bibliographic Info
Article provided by Springer in its journal Review of Economic Design.
Volume (Year): 11 (2007)
Issue (Month): 1 (June)
Pages: 13-52
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Web page: http://link.springer.de/link/service/journals/10058/index.htm
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Related research
Keywords: Network formation; Pairwise stability; Potential functions; C72; C79; D85;Other versions of this item:
- Subhadip Chakrabarti & Robert P. Gilles, 2005. "Network Potentials," Bonn Econ Discussion Papers bgse28_2005, University of Bonn, Germany.
- 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
References
References listed on IDEASPlease 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.:
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"Strongly Stable Networks,"
Microeconomics
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- Matthew O. Jackson, 2001. "Strongly Stable Networks," University of Oregon Economics Department Working Papers 2001-3, University of Oregon Economics Department, revised 15 Nov 2002.
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Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Berno Buechel & Tim Hellmann, 2008.
"Under-connected and over-connected networks,"
Working Papers
400, Bielefeld University, Center for Mathematical Economics.
- Tim Hellmann & Berno Buechel, 2009. "Under-connected and Over-connected Networks," Working Papers 2009.38, Fondazione Eni Enrico Mattei.
- Pin, Paolo, 2011.
"Eight degrees of separation,"
Research in Economics,
Elsevier, vol. 65(3), pages 259-270, September.
- Paolo Pin, 2006. "Eight Degrees of Separation," Working Papers 2006.78, Fondazione Eni Enrico Mattei.
- Paolo Pin, 2006. "Eight degrees of separation," Working Papers 2006_26, Department of Economics, University of Venice "Ca' Foscari".
- Berno Buechel & Tim Hellmann, 2012. "Under-connected and over-connected networks: the role of externalities in strategic network formation," Review of Economic Design, Springer, vol. 16(1), pages 71-87, March.
- Tim Hellmann & Mathias Staudigl, 2012. "Evolution of Social networks," Working Papers 470, Bielefeld University, Center for Mathematical Economics.
- Tim Hellmann, 2009. "Convexity and Complementarity in Network Formation: Implications for the Structure of Pairwise Stable Networks," Working Papers 423, Bielefeld University, Center for Mathematical Economics.
- 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.
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