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A Note on Numerical Representations of Nested System of Strict Partial Orders

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  • Dan Qin

    (NUCB Business School, Nagoya University of Commerce and Business, Nagoya 4700193, Japan)

Abstract

This note provides two numerical representations of a nested system of strict partial orders. The first representation is based on utility and threshold functions. We generalize the threshold representation of menu-dependent preferences by allowing the threshold to depend not only on the menu but also on the pair of alternatives under comparison. The threshold function can be interpreted as the distance between alternatives. The second representation is based on the aggregation of multi-dimensional preference. This representation describes a decision-making procedure where multiple criteria are gradually aggregated into an overall assessment.

Suggested Citation

  • Dan Qin, 2021. "A Note on Numerical Representations of Nested System of Strict Partial Orders," Games, MDPI, vol. 12(3), pages 1-9, July.
    • Handle: RePEc:gam:jgames:v:12:y:2021:i:3:p:57-:d:589968
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    References listed on IDEAS

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