Inequality and network structure
AbstractWe explore the manner in which the structure of a social network constrains the level of inequality that can be sustained among its members, based on the following considerations: (i) any distribution of value must be stable with respect to coalitional deviations, and (ii) the network structure itself determines the coalitions that may form. We show that if players can jointly deviate only if they form a clique in the network, then the degree of inequality that can be sustained depends on the cardinality of the maximum independent set. For bipartite networks, the size of the maximum independent set fully characterizes the degree of inequality that can be sustained. This result extends partially to general networks and to the case in which a group of players can deviate jointly if they are all sufficiently close to each other in the network.
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 Games and Economic Behavior.
Volume (Year): 73 (2011)
Issue (Month): 1 (September)
Contact details of provider:
Web page: http://www.elsevier.com/locate/inca/622836
Inequality Networks Cooperative games Lorenz dominance;
Other versions of this item:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- D30 - Microeconomics - - Distribution - - - General
- 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.:
- Gabrielle Demange, 2004.
"On group stability in hierarchies and networks,"
- Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
- 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.
- 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.
- 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.
- van den Nouweland, Anne & Borm, Peter, 1991.
"On the Convexity of Communication Games,"
International Journal of Game Theory,
Springer, vol. 19(4), pages 421-30.
- Francis Bloch (GREQAM and Universite de la Mediterranee), Garance Genicot (Georgetown University, and Debraj Ray (New York University and Instituto de Analisis Economico (CSIC)), 2004.
"Informal Insurance in Social Networks,"
gueconwpa~04-04-16, Georgetown University, Department of Economics.
- Dutta, Bhaskar & Ray, Debraj, 1989. "A Concept of Egalitarianism under Participation Constraints," Econometrica, Econometric Society, vol. 57(3), pages 615-35, May.
- Kaneko, Mamoru & Wooders, Myrna Holtz, 1982.
"Cores of partitioning games,"
Mathematical Social Sciences,
Elsevier, vol. 3(4), pages 313-327, December.
- Kets, Willemien & Iyengar, Garud & Sethi, Rajiv & Bowles, Samuel, 2011.
"Inequality and network structure,"
Games and Economic Behavior,
Elsevier, vol. 73(1), pages 215-226, September.
- Kalai, Ehud & Postlewaite, Andrew & Roberts, John, 1978. "Barriers to trade and disadvantageous middlemen: Nonmonotonicity of the core," Journal of Economic Theory, Elsevier, vol. 19(1), pages 200-209, October.
- Goyal, Sanjeev & Vega-Redondo, Fernando, 2007. "Structural holes in social networks," Journal of Economic Theory, Elsevier, vol. 137(1), pages 460-492, November.
- S. Illeris & G. Akehurst, 2001. "Introduction," The Service Industries Journal, Taylor & Francis Journals, vol. 21(1), pages 1-4, January.
- Hojman, Daniel A. & Szeidl, Adam, 2008. "Core and periphery in networks," Journal of Economic Theory, Elsevier, vol. 139(1), pages 295-309, March.
- Iyengar, G. & Kets, W. & Sethi, R. & Bowles, S., 2008.
"Inequality and Network Structure,"
2008-76, Tilburg University, Center for Economic Research.
- Iehlé, Vincent, 2014.
"The lattice structure of the S-Lorenz core,"
Economics Papers from University Paris Dauphine
123456789/11604, Paris Dauphine University.
- Marianna Belloc & Samuel Bowles, 2013. "The Persistence of Inferior Cultural-Institutional Conventions," American Economic Review, American Economic Association, vol. 103(3), pages 93-98, May.
- Newton, Jonathan, 2012. "Coalitional stochastic stability," Games and Economic Behavior, Elsevier, vol. 75(2), pages 842-854.
- Marianna Belloc & Samuel Bowles, 2012. "The persistence of inferior cultural-institutional conventions," Working Papers 157, University of Rome La Sapienza, Department of Public Economics.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.