Group Stability of Hierarchies in Games with Spillovers
AbstractIn a recent paper, Demange (2004) has shown that hierarchical organizations can guarantee the existence of stable cooperative outcomes by appropriately allocating the blocking power to a subset of coalitions, the “teams”. This paper extends the analysis of Demange to cooperative problems with spillovers. We show that if blocking coalitions have “pessimistic expectations” on the reaction of outsiders, in all cooperative problems there exists an allocation which is blocked by no team. We also study the case of ”passive expectations”, for which the same result holds in all games with negative spillovers, while stable allocations may fail to exist in games with positive spillovers. In the latter class of games, however, hierarchies are shown to be the most stable organizational forms.
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.
Bibliographic InfoPaper provided by Department of Economics, University of Venice "Ca' Foscari" in its series Working Papers with number 2006_14.
Length: 22 pages
Date of creation: 2006
Date of revision:
Contact details of provider:
Postal: Cannaregio, S. Giobbe no 873 , 30121 Venezia
Web page: http://www.unive.it/dip.economia
More information through EDIRC
Organizational design; networks; group stability; spillovers.;
Other versions of this item:
- Currarini, Sergio, 2007. "Group stability of hierarchies in games with spillovers," Mathematical Social Sciences, Elsevier, vol. 54(3), pages 187-202, December.
- C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
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.:
- Ray, D. & Vohra, R., 1993.
"Equilibrium Binding Agreements,"
21, Boston University - Department of Economics.
- Gabrielle Demange, 2004.
"On group stability in hierarchies and networks,"
- Radner, Roy, 1993. "The Organization of Decentralized Information Processing," Econometrica, Econometric Society, vol. 61(5), pages 1109-46, September.
- Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
- Kaneko, Mamoru & Wooders, Myrna Holtz, 1982.
"Cores of partitioning games,"
Mathematical Social Sciences,
Elsevier, vol. 3(4), pages 313-327, December.
- Yi, Sang-Seung, 1997. "Stable Coalition Structures with Externalities," Games and Economic Behavior, Elsevier, vol. 20(2), pages 201-237, August.
- Yukihiko Funaki & Takehiko Yamato, 1999. "The core of an economy with a common pool resource: A partition function form approach," International Journal of Game Theory, Springer, vol. 28(2), pages 157-171.
- Sergio Currarini & Marco A. Marini, 2013. "Majority Rule and Coalitional Stability," Economics Bulletin, AccessEcon, vol. 33(3), pages 1660-1668.
- Sergio Currarini, 2007.
"Network design in games with spillovers,"
Review of Economic Design,
Springer, vol. 10(4), pages 305-326, March.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Geraldine Ludbrook).
If references are entirely missing, you can add them using this form.