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Analyses géométriques et probabilistes des règles de vote, avec une application au scrutin majoritaire à deux tours

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  • Vincent Merlin
  • Dominique Lepelley

Abstract

[fre] Analyses géométriques et probabilistes des règles de vote, avec une application au scrutin majoritaire à deux tours. . La théorie des choix collectifs offre un cadre d'analyse cohérent des différentes procédures de décision. À côté de la démarche axiomatique classique, plusieurs outils d'analyse originaux ont été développés pour étudier les qualités et défauts des principales méthodes de décision. Nous présentons ici ces approches alter­natives, à savoir les outils de l'analyse géométrique et le calcul des probabilités des paradoxes de vote. Les avantages et inconvénients de ces démarches par rapport à l'analyse axiomatique seront discutés. Le vote majoritaire à deux tours servira d'exemple d'application tout au long de notre discussion. [eng] Geometric and probabilistic analysis for voting rules, wtth an application to plurality run-off. . Social Choice Theory proposes a consistent framework in order to analyse the decision methods. In comparison with the classical axiomatic approach, several original tools have been developped for studying the qualities and the flaws of the main decision processes. We shall present in this paper these alternative approaches, that is the tools of the Geometry of Voting, and the computation of the likelihood of voting paradoxes. The advantages and disadvantages of these approaches compared to the axiomatic analysis will be discussed. Two stage plurality run-off will be taken as an example of application throughout the paper.

Suggested Citation

  • Vincent Merlin & Dominique Lepelley, 1999. "Analyses géométriques et probabilistes des règles de vote, avec une application au scrutin majoritaire à deux tours," Revue Économique, Programme National Persée, vol. 50(4), pages 699-714.
  • Handle: RePEc:prs:reveco:reco_0035-2764_1999_num_50_4_410114
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    Cited by:

    1. Marc Fleurbaey, 2000. "Choix social : une difficulté et de multiples possibilités," Revue Économique, Programme National Persée, vol. 51(5), pages 1215-1232.

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