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On the voting power of an alliance and the subsequent power of its members

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Author Info

  • Marc Feix
  • Dominique Lepelley

    ()

  • Vincent Merlin

    ()

  • Jean-Louis Rouet

    ()

Abstract

Even, 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.

(This abstract was borrowed from another version of this item.)

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File URL: http://hdl.handle.net/10.1007/s00355-006-0171-6
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Bibliographic Info

Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 28 (2007)
Issue (Month): 2 (February)
Pages: 181-207

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Handle: RePEc:spr:sochwe:v:28:y:2007:i:2:p:181-207

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References

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  1. 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.
  2. 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.
  3. Dan S. Felsenthal & Moshé Machover, 2002. "Annexations and alliances: When are blocs advantageous a priori?," Social Choice and Welfare, Springer, vol. 19(2), pages 295-312, April.
  4. Dennis Leech, 2003. "Computing Power Indices for Large Voting Games," Management Science, INFORMS, vol. 49(6), pages 831-837, June.
  5. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
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Cited by:
  1. Michel Grabisch & Agnieszka Rusinowska, 2010. "A model of influence in a social network," Theory and Decision, Springer, vol. 69(1), pages 69-96, July.
  2. 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.
  3. repec:hal:journl:halshs-00308741 is not listed on IDEAS
  4. repec:hal:journl:halshs-00344457 is not listed on IDEAS

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