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The precedence function: a numerical evaluation method for multicriteria ranking problems

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  • Antonio Villar

    (Universidad Pablo de Olavide
    ISEAK)

Abstract

This paper proposes and characterizes a method to solve multicriteria evaluation problems when individual judgements are categorical and may fail to satisfy both transitivity and completeness. The evaluation function consists of a weighted sum of the average number of times that each alternative precedes some other, in all pairwise comparisons. It provides, therefore, a quantitative assessment which is well-grounded, immediate to compute, and easy to understand.

Suggested Citation

  • Antonio Villar, 2023. "The precedence function: a numerical evaluation method for multicriteria ranking problems," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(2), pages 211-219, October.
    • Handle: RePEc:spr:etbull:v:11:y:2023:i:2:d:10.1007_s40505-023-00249-3
    DOI: 10.1007/s40505-023-00249-3
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    References listed on IDEAS

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    1. Shmuel Nitzan & Ariel Rubinstein, 1981. "A further characterization of Borda ranking method," Public Choice, Springer, vol. 36(1), pages 153-158, January.
    2. Hansson, Bengt & Sahlquist, Henrik, 1976. "A proof technique for social choice with variable electorate," Journal of Economic Theory, Elsevier, vol. 13(2), pages 193-200, October.
    3. Mihara, H. Reiju, 2017. "Characterizing the Borda ranking rule for a fixed population," MPRA Paper 78093, University Library of Munich, Germany.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Antonio Villar, 2023. "Old rockers," Working Papers 23.10, Universidad Pablo de Olavide, Department of Economics.

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    More about this item

    Keywords

    Multidimensional evaluation; Categorical data; Non-transitive and incomplete preferences; Pairwise comparisons; Precedence function;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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