Coalition Formation in General Apex Games
We generalize the class of apex game by combining a winning coalition of symmetric minor players with�a collection of apex sets which can form winning coalitions only together with a fixed quota of minor players.� By applying power indices to these games and their subgames we generate players' preferences over coalitions which we use to define a coalition formation game.� We focus on strongly monotonic power indices and investigate under which conditions on the initial general apex game there are core stable coalitions in the resulting coalition formation game.� Besides several general results, we develop condition for the Shapley-Shubik index, the Banzhaf index, and the normalized Banzhaf index in particular.� It turns out that many statements can be easily verified for arbitrary collections of apex sets.� Nevertheless, we give some relations between the collection of apex sets and the set of core stable coalitions.
|Date of creation:||28 Oct 2013|
|Date of revision:|
|Contact details of provider:|| Postal: |
Web page: http://www.economics.ox.ac.uk/
More information through EDIRC
References listed on IDEAS
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.:
- Vincent Iehlé, 2005.
"The core-partition of hedonic games,"
Cahiers de la Maison des Sciences Economiques
b05091, Université Panthéon-Sorbonne (Paris 1).
- Iehlé, Vincent, 2007. "The Core-Partition of Hedonic Games," Economics Papers from University Paris Dauphine 123456789/87, Paris Dauphine University.
- Vincent Iehlé, 2005. "The core-partition of hedonic games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00197528, HAL.
- Dinko Dimitrov & Claus-Jochen Haake, 2006.
"Government versus Opposition: Who Should be Who in the 16th German Bundestag?,"
Journal of Economics,
Springer, vol. 89(2), pages 115-128, November.
- Dinko Dimitrov & Claus-Jochen Haake, 2005. "Government versus opposition: Who should be who in the 16th German Bundestag?," Working Papers 375, Bielefeld University, Center for Mathematical Economics.
- Sagonti, Emanuela, 1991. "On the Strong Monotonicity of Power Indices," International Journal of Game Theory, Springer, vol. 20(1), pages 13-22.
- Dinko Dimitrov & Claus-Jochen Haake, 2008.
"A note on the paradox of smaller coalitions,"
Social Choice and Welfare,
Springer, vol. 30(4), pages 571-579, May.
- Dreze, J H & Greenberg, J, 1980.
"Hedonic Coalitions: Optimality and Stability,"
Econometric Society, vol. 48(4), pages 987-1003, May.
- Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
- Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001.
"Core in a simple coalition formation game,"
Social Choice and Welfare,
Springer, vol. 18(1), pages 135-153.
- Montero, Maria, 2002.
"Non-cooperative bargaining in apex games and the kernel,"
Games and Economic Behavior,
Elsevier, vol. 41(2), pages 309-321, November.
- Montero, M.P., 1999. "Noncooperative Bargaining in Apex Games and the Kernel," Discussion Paper 1999-61, Tilburg University, Center for Economic Research.
- Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
- Dimitrov, Dinko & Haake, Claus-Jochen, 2008. "Stable governments and the semistrict core," Games and Economic Behavior, Elsevier, vol. 62(2), pages 460-475, March.
When requesting a correction, please mention this item's handle: RePEc:oxf:wpaper:680. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Caroline Wise)
If references are entirely missing, you can add them using this form.