Mathematics (Mar 2021)

A Multicriteria Extension of the Efficient Market Hypothesis

  • Francisco Salas-Molina,
  • David Pla-Santamaria,
  • Fernando Mayor-Vitoria,
  • Maria Luisa Vercher-Ferrandiz

DOI
https://doi.org/10.3390/math9060649
Journal volume & issue
Vol. 9, no. 6
p. 649

Abstract

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Challenging the Efficient Market Hypothesis (EMH) has been a recurrent topic for researchers and practitioners since its formulation. Hundreds of empirical studies claim to either prove or disprove the EMH by means of a number of heterogeneous methods. Even though the EMH is usually adjusted to a measure of risk, there is a lack of a formal analysis within a multiple-criteria context. In this paper, we propose a extension of the EMH that accommodates the foundations of multiple-criteria decision analysis. To this end, we rely on a family of parametric signed dissimilarity measures to assess multidimensional performance differences. Since normalization is a critical step in our approach to avoid meaningless comparisons, we present two novel theoretical results connecting different normalization techniques. This multicriteria extension provides a common framework on which to add empirical evidence regarding the EMH testing.

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