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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. Pedro Albarrán & Carmen Herrero & Antonio Villar, 2024. "From people's preferences to political representation. The case of the Spanish regional elections," Working Papers 24.02, Universidad Pablo de Olavide, Department of Economics.
    2. 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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