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Consensus theories: an oriented survey

Author

Listed:
  • Olivier Hudry

    (Télécom ParisTech)

  • Bernard Monjardet

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, CAMS - Centre d'Analyse et de Mathématique sociales - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique)

Abstract
This article surveys seven directions of consensus theories: Arrowian results, federation consensus rules, metric consensus rules, tournament solutions, restricted domains, abstract consensus theories, algorithmic and complexity issues. This survey is oriented in the sense that it is mainly – but not exclusively – concentrated on the most significant results obtained, sometimes with other searchers, by a team of French searchers who are or were full or associate members of the Centre d'Analyse et de Mathématique Sociale (CAMS).

Suggested Citation

  • Olivier Hudry & Bernard Monjardet, 2010. "Consensus theories: an oriented survey," Post-Print halshs-00504974, HAL.
    • Handle: RePEc:hal:journl:halshs-00504974
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00504974v1
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    25. Irène Charon & Olivier Hudry, 2010. "An updated survey on the linear ordering problem for weighted or unweighted tournaments," Annals of Operations Research, Springer, vol. 175(1), pages 107-158, March.
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    Cited by:

    1. Edith Elkind & Piotr Faliszewski & Arkadii Slinko, 2015. "Distance rationalization of voting rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(2), pages 345-377, September.
    2. Olivier Hudry, 2015. "Complexity results for extensions of median orders to different types of remoteness," Annals of Operations Research, Springer, vol. 225(1), pages 111-123, February.
    3. Muhammad Mahajne & Shmuel Nitzan & Oscar Volij, 2013. "LEVEL r CONSENSUS AND STABLE SOCIAL CHOICE," Working Papers 1305, Ben-Gurion University of the Negev, Department of Economics.

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    More about this item

    Keywords

    median; tournament solutions; restricted domains; lower valuations; median semilattice; complexity; Consensus theories; Arrowian results; aggregation rules; metric consensus rules; Théories du consensus; résultats arrowiens; règles d'agrégation; distances; médiane; solutions de tournoi; domaines restreints; valuations inférieures; demi-treillis à médianes; complexité;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • C0 - Mathematical and Quantitative Methods - - General

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