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Consensus theories. An oriented survey

Author

Listed:
  • Olivier Hudry

    (Télécom ParisTech)

  • Bernard Monjardet

    (CAMS - Centre d'Analyse et de Mathématique sociales - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - 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 researchers, by a team of French researchers 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 hal-00642167, HAL.
    • Handle: RePEc:hal:journl:hal-00642167
    as

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    21. Olivier Hudry, 2008. "NP-hardness results for the aggregation of linear orders into median orders," Annals of Operations Research, Springer, vol. 163(1), pages 63-88, October.
    22. Leclerc, B., 1984. "Efficient and binary consensus functions on transitively valued relations," Mathematical Social Sciences, Elsevier, vol. 8(1), pages 45-61, August.
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    24. Hudry, Olivier, 2010. "On the complexity of Slater's problems," European Journal of Operational Research, Elsevier, vol. 203(1), pages 216-221, May.
    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

    aggregation rule; arrowian result; complexity; consensus theory; lower valuation; median; median semilattice; metric consensus rule; restricted domain; tournament solutions; valuation inférieure; distance; complexité; demi-treillis à médianes; domaine restreint; médiane; règle d'agrégation; résultat arrowien; solution de tournois; théorie du consensus;
    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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