On the voting power of an alliance and the subsequent power of its members
AbstractEven, and in fact chiefly, if two or more players in a voting gamehave on a binary issue independent opinions, they may haveinterest to form a single voting alliance giving an average gainof influence for all of them. Here, assuming the usualindependence of votes, we first study the alliance voting powerand obtain new results in the so-called asymptotic limit for whichthe number of players is large enough and the alliance weightremains a small fraction of the total of the weights. Then, wepropose to replace the voting game inside the alliance by a randomgame which allows new possibilities. The validity of theasymptotic limit and the possibility of new alliances are examinedby considering the decision process in the Council of Ministers ofthe European Union.
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Bibliographic InfoArticle provided by Springer in its journal Social Choice and Welfare.
Volume (Year): 28 (2007)
Issue (Month): 2 (February)
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Web page: http://link.springer.de/link/service/journals/00355/index.htm
Other versions of this item:
- M.R. Feix & D. Lepelley & V. Merlin & J.L. Rouet, 2006. "On the voting power of an alliance and the subsequent power of its members," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 200605, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
- Vincent Merlin & Marc Feix & Dominique Lepelley & Jean-Louis Rouet, 2007. "On the Voting Power of an Alliance and the Subsequent Power of its Members," Post-Print halshs-00010168, HAL.
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.:
- Moshé Machover & Dan S. Felsenthal, 2002. "Annexations and alliances: When are blocs advantageous a priori?," Social Choice and Welfare, Springer, vol. 19(2), pages 295-312.
- Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
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- Moshé Machover & Dan S. Felsenthal, 2001. "The Treaty of Nice and qualified majority voting," Social Choice and Welfare, Springer, vol. 18(3), pages 431-464.
- Lindner, Ines & Machover, Moshe, 2004. "L.S. Penrose's limit theorem: proof of some special cases," Mathematical Social Sciences, Elsevier, vol. 47(1), pages 37-49, January.
- Michel Grabisch & Agnieszka Rusinowska, 2008. "A model of influence in a social network," Post-Print halshs-00344457, HAL.
- Michel Grabisch & Agnieszka Rusinowska, 2008.
"A model of influence in a social network,"
Documents de travail du Centre d'Economie de la Sorbonne
b08066, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- Michel Grabisch & Agnieszka Rusinowska, 2010. "A model of influence in a social network," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers) halshs-00308741, HAL.
- Michel Grabisch & Agnieszka Rusinowska, 2008. "A model of influence in a social network," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers) halshs-00344457, HAL.
- Fabrice BARTHELEMY & Mathieu MARTIN, 2011.
"A Comparison Between the Methods of Apportionment Using Power Indices. The Case of the US Presidential Election,"
Annales d'Economie et de Statistique,
ENSAE, issue 101-102, pages 87-106.
- Fabrice Barthélémy & Mathieu MARTIN, 2007. "A comparison between the methods of apportionment using power indices: the case of the U.S. presidential election," THEMA Working Papers 2007-26, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Fabrice Barthelemy & Mathieu Martin, 2011. "A comparison between the methods of apportionment using power indices: the case of the U.S. presidential elections," THEMA Working Papers 2011-13, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- repec:hal:journl:halshs-00308741 is not listed on IDEAS
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