Eight degrees of separation
AbstractWe present a network formation game whose equilibria are undirected networks. Every connected couple contributes to the aggregate payoff by a fixed quantity, and the outcome is split between players according to the Myerson value allocation rule. This setup shows a wide multiplicity of non-empty equilibria, all of them connected. We show that the efficient equilibria of the game are either the empty network, or a network whose diameter does not exceed a threshold of 8 (i.e. there are no two nodes with a distance greater than 8).
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Research in Economics.
Volume (Year): 65 (2011)
Issue (Month): 3 (September)
Contact details of provider:
Web page: http://www.elsevier.com/locate/inca/622941
Network formation Myerson value;
Other versions of this item:
- D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
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.:
- Matthew O. Jackson & Brian W. Rogers, 2005.
"Search in the Formation of Large Networks: How Random are Socially Generated Networks?,"
Game Theory and Information
- Jackson, Matthew O. & Rogers, Brian W., 2005. "Search in the formation of large networks: How random are socially generated networks?," Working Papers 1216, California Institute of Technology, Division of the Humanities and Social Sciences.
- David Pérez-Castrillo & David Wettstein, .
"Bidding For The Surplus: A Non-Cooperative Approach To The Shapley Value,"
UFAE and IAE Working Papers
461.00, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Perez-Castrillo, David & Wettstein, David, 2001. "Bidding for the Surplus : A Non-cooperative Approach to the Shapley Value," Journal of Economic Theory, Elsevier, vol. 100(2), pages 274-294, October.
- Matthew O. Jackson & Asher Wolinsky, 1994.
"A Strategic Model of Social and Economic Networks,"
1098, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- (*), Anne van den Nouweland & Marco Slikker, 2000. "original papers : Network formation models with costs for establishing links," Review of Economic Design, Springer, vol. 5(3), pages 333-362.
- Noemí Navarro & Andrés Perea, 2001. "Bargaining In Networks And The Myerson Value," Economics Working Papers we016121, Universidad Carlos III, Departamento de Economía.
- Matthew O. Jackson & Brian W. Rogers, 2007. "Meeting Strangers and Friends of Friends: How Random Are Social Networks?," American Economic Review, American Economic Association, vol. 97(3), pages 890-915, June.
- Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
- Paul Belleflamme & Francis Bloch, 2001. "Market Sharing Agreements and Collusive Networks," Working Papers 443, Queen Mary, University of London, School of Economics and Finance.
- Qin, Cheng-Zhong, 1996. "Endogenous Formation of Cooperation Structures," Journal of Economic Theory, Elsevier, vol. 69(1), pages 218-226, April.
- Matthew O. Jackson, 2003.
"Allocation Rules for Network Games,"
2003.51, Fondazione Eni Enrico Mattei.
- 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.
- Goyal, Sanjeev & Vega-Redondo, Fernando, 2007. "Structural holes in social networks," Journal of Economic Theory, Elsevier, vol. 137(1), pages 460-492, November.
- ELLEFLAMME, Paul & BLOCH, Francis, .
"Market sharing agreements and collusive networks,"
CORE Discussion Papers RP
-1711, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
- Subhadip Chakrabarti & Robert Gilles, 2007.
Review of Economic Design,
Springer, vol. 11(1), pages 13-52, June.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If references are entirely missing, you can add them using this form.