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Group Stability of Hierarchies in Games with Spillovers

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  • Sergio Currarini

    ()
    (Department of Economics, University Of Venice Ca’ Foscari)

Abstract

In 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.

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File URL: http://www.unive.it/media/allegato/DIP/Economia/Working_papers/Working_papers_2006/WP_DSE_Currarini_14_06.pdf
File Function: First version, 2006
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Bibliographic Info

Paper provided by Department of Economics, University of Venice "Ca' Foscari" in its series Working Papers with number 2006_14.

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Length: 22 pages
Date of creation: 2006
Date of revision:
Handle: RePEc:ven:wpaper:2006_14

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Keywords: Organizational design; networks; group stability; spillovers.;

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References

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  1. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
  2. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
  3. 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.
  4. Kaneko, Mamoru & Wooders, Myrna Holtz, 1982. "Cores of partitioning games," Mathematical Social Sciences, Elsevier, vol. 3(4), pages 313-327, December.
  5. Radner, Roy, 1993. "The Organization of Decentralized Information Processing," Econometrica, Econometric Society, vol. 61(5), pages 1109-46, September.
  6. Gabrielle Demange, 2004. "On Group Stability in Hierarchies and Networks," Journal of Political Economy, University of Chicago Press, vol. 112(4), pages 754-778, August.
  7. Yi, Sang-Seung, 1997. "Stable Coalition Structures with Externalities," Games and Economic Behavior, Elsevier, vol. 20(2), pages 201-237, August.
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Cited by:
  1. Sergio Currarini & Marco A. Marini, 2013. "Majority Rule and Coalitional Stability," Economics Bulletin, AccessEcon, vol. 33(3), pages 1660-1668.
  2. Sergio Currarini, 2006. "Network Design in Games with Spillovers," Working Papers 2006_16, Department of Economics, University of Venice "Ca' Foscari".

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