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An Aggregation Rule Based on the Binomial Distribution

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  • Josep Freixas

    (Departament de Matemàtiques, Universitat Politècnica de Catalunya, 08243 Manresa, Spain)

Abstract

Many decision-making situations require the evaluation of several voters or agents. In a situation where voters evaluate candidates, the question arises of how best to aggregate evaluations so as to compare the candidates. The aim of this work is to propose a method of aggregating the evaluations of the voters, which has outstanding properties and serve as a potential evaluative tool in many contexts. Ordered weighted averages is a family of rules appropriate for studying this problem. In this paper, I propose as a solution an ordered weighted average that satisfies compelling properties and whose weights are derived from the binomial distribution.

Suggested Citation

  • Josep Freixas, 2022. "An Aggregation Rule Based on the Binomial Distribution," Mathematics, MDPI, vol. 10(23), pages 1-14, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:23:p:4418-:d:982058
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    References listed on IDEAS

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