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Social choice theory and the "Centre de Mathématique Sociale". Some historical notes

Author

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  • Bernard Monjardet

    (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this paper we describe some research directions in social choice and aggregation theory led at the "Centre de Mathématique Sociale" since the fifties. We begin by presenting some institutional aspects concerning this EHESS center. Then we sketch a thematic history by considering the following questions about the "effet Condorcet" ("voting paradox"): What is it? How is it overcome? Why does it occur? These questions were tackled in Guilbaud's 1952 paper (Les théories de l'intérêt général et le problème logique de l'agrégation) which will be our leading clue for our inquiry. The conclusion outline some more recent developments researches linked to these questions.

Suggested Citation

  • Bernard Monjardet, 2005. "Social choice theory and the "Centre de Mathématique Sociale". Some historical notes," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00198573, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00198573
    DOI: 10.1007/s00355-005-0012-z
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00198573
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    Cited by:

    1. Eisermann, Michael, 2006. "Arrovian juntas," MPRA Paper 81, University Library of Munich, Germany, revised 03 Oct 2006.
    2. Daniel Eckert & Bernard Monjardet, 2010. "Guilbaud's 1952 theorem on the logical problem of aggregation," Post-Print halshs-00504959, HAL.
    3. Bernard Monjardet, 2007. "Some Order Dualities In Logic, Games And Choices," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(01), pages 1-12.
    4. Philippe Mongin, 2012. "Une source méconnue de la théorie de l'agrégation des jugements," Revue économique, Presses de Sciences-Po, vol. 63(4), pages 645-657.

    More about this item

    Keywords

    Arrow's theorem; distributive lattice; effet Condorcet; Guilbaud's theorem; median; metric; permutoedre; simple game; ultrafilter.; ultrafilter; jeu simple; médiane; métrique; majorité; théorème d'Arrow; théorème de Guilbaud; treillis distributif; ultrafiltre.;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • B21 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Microeconomics

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