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Codifications of complete preorders that are compatible with Mahalanobis disconsensus measures

Author

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  • Rodríguez Alcantud, José Carlos
  • de Andrés Calle, Rocío
  • González-Arteaga, Teresa

Abstract

We introduce the use of the Mahalanobis distance for the analysis of the cohesiveness of a group of linear orders or complete preorders. We prove that arbitrary codifications of the preferences are incompatible with this formulation, while affine transformations permit to compare profiles on the basis of such a proposal. This measure seems especially fit for the cases where the alternatives are correlated, e.g., committee selection when the candidates are affiliated to political parties.

Suggested Citation

  • Rodríguez Alcantud, José Carlos & de Andrés Calle, Rocío & González-Arteaga, Teresa, 2013. "Codifications of complete preorders that are compatible with Mahalanobis disconsensus measures," MPRA Paper 50533, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:50533
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    File URL: https://mpra.ub.uni-muenchen.de/50533/1/MPRA_paper_50533.pdf
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    References listed on IDEAS

    as
    1. Duncan Black, 1976. "Partial justification of the Borda count," Public Choice, Springer, vol. 28(1), pages 1-15, December.
    2. Wade D. Cook & Lawrence M. Seiford, 1982. "On the Borda-Kendall Consensus Method for Priority Ranking Problems," Management Science, INFORMS, vol. 28(6), pages 621-637, June.
    3. Jorge Alcalde-Unzu & Marc Vorsatz, 2013. "Measuring the cohesiveness of preferences: an axiomatic analysis," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 965-988, October.
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    Cited by:

    1. García-Lapresta, José Luis & Martínez-Panero, Miguel, 2024. "Two characterizations of the dense rank," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    2. González-Arteaga, T. & Alcantud, J.C.R. & de Andrés Calle, R., 2016. "A cardinal dissensus measure based on the Mahalanobis distance," European Journal of Operational Research, Elsevier, vol. 251(2), pages 575-585.

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    More about this item

    Keywords

    Complete preorders; Mahalanobis disconsensus measure; codification;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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