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La détermination du nombre des délégués au sein des structures intercommunales : une application de l'indice de pouvoir de Banzhaf

Author

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  • Franck Bisson

    (CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR1 - Université de Rennes 1 - UNIV-RENNES - Université de Rennes - CNRS - Centre National de la Recherche Scientifique)

  • Jean Bonnet

    () (CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR1 - Université de Rennes 1 - UNIV-RENNES - Université de Rennes - CNRS - Centre National de la Recherche Scientifique)

  • Dominique Lepelley

    (CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR1 - Université de Rennes 1 - UNIV-RENNES - Université de Rennes - CNRS - Centre National de la Recherche Scientifique)

Abstract

We investigate in this paper the representation of the cities inside the french local entities called E.P.C.I. (Etablissement Public de Coopération Intercommunale). In these entities, each city is represented by a given number of delegates. Our analysis focuses on E.PC.I.s from Basse-Normandie and is based upon the notion of voting power index (in the sense of Banzhaf), borrowed from cooperative game theory. Our calculations take into account the fact that some coalitions are more likely to occur than others. It turns out that the voting power of cities is often different from their relative size, as measured by their population. We finally propose an algorithm allowing the determination of the « optimal » number of delegates for each city.

Suggested Citation

  • Franck Bisson & Jean Bonnet & Dominique Lepelley, 2004. "La détermination du nombre des délégués au sein des structures intercommunales : une application de l'indice de pouvoir de Banzhaf," Post-Print hal-00149378, HAL.
  • Handle: RePEc:hal:journl:hal-00149378
    Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00149378
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    Cited by:

    1. Le Breton, Michel & Lepelley, Dominique & Macé, Antonin & Merlin, Vincent, 2016. "Le Mécanisme Optimal de Vote au Sein du Conseil des Représentants d'un Système Fédéral," TSE Working Papers 16-617, Toulouse School of Economics (TSE), revised Dec 2016.
    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. F. Barthélémy & M. Martin, 2005. "Répartition des sièges au sein des structures intercommunales du Val d’Oise," THEMA Working Papers 2005-16, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    4. Le Breton, Michel & Lepelley, Dominique & Macé, Antonin & Merlin, Vincent, 2016. "Le Mécanisme Optimal de Vote au Sein du Conseil des Représentants d'un Système Fédéral," TSE Working Papers 16-617, Toulouse School of Economics (TSE), revised Dec 2016.

    More about this item

    Keywords

    Power indices; representation; inter-communities; application; Indices de pouvoir; représentativité; intercommunalité; application.;

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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