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

Author

Listed:
  • M.R. Feix

    (SUBATECH/EMN)

  • D. Lepelley

    (CERESUR)

  • V. Merlin

    (CREM – CNRS)

  • J.L. Rouet

    (MAPMO – CNRS)

Abstract

Even, and in fact chiefly, if two or more players in a voting game have on a binary issue independent opinions, they may have interest to form a single voting alliance giving an average gain of influence for all of them. Here, assuming the usual independence of votes, we first study the alliance voting power and obtain new results in the so-called asymptotic limit for which the number of players is large enough and the alliance weight remains a small fraction of the total of the weights. Then, we propose to replace the voting game inside the alliance by a random game which allows new possibilities. The validity of the asymptotic limit and the possibility of new alliances are examined by considering the decision process in the Council of Ministers of the European Union.

Suggested Citation

  • 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.
    • Handle: RePEc:tut:cremwp:200605
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    References listed on IDEAS

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    Cited by:

    1. Laurent, Thibault & Le Breton, Michel & Lepelley, Dominique & de Mouzon, Olivier, 2017. "Exploring the Effects on the Electoral College of National and Regional Popular Vote Interstate Compact: An Electoral Engineering Perspective," TSE Working Papers 17-861, Toulouse School of Economics (TSE), revised May 2018.
    2. Fabrice Barthelemy & Mathieu Martin, 2011. "A Comparison Between the Methods of Apportionment Using Power Indices: the Case of the US Presidential Elections," Annals of Economics and Statistics, GENES, issue 101-102, pages 87-106.
    3. Michel Grabisch & Agnieszka Rusinowska, 2010. "A model of influence in a social network," Theory and Decision, Springer, vol. 69(1), pages 69-96, July.
    4. Fabrice Barthelemy & Gabriele Esposito & Mathieu Martin & Vincent Merlin, 2011. "Fair Apportionment in the Italian Senate : Which Reform Should Be Implemented?," THEMA Working Papers 2011-16, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    5. Le Breton, Michel & Lepelley, Dominique & Macé, Antonin & Merlin, Vincent, 2017. "Le mécanisme optimal de vote au sein du conseil des représentants d’un système fédéral," L'Actualité Economique, Société Canadienne de Science Economique, vol. 93(1-2), pages 203-248, Mars-Juin.
    6. Werner Kirsch & Wojciech S{l}omczy'nski & Dariusz Stolicki & Karol .Zyczkowski, 2018. "Double Majority and Generalized Brexit: Explaining Counterintuitive Results," Papers 1812.07048, arXiv.org.

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