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An Axiomatic Approach to Measuring Degree of Stochastic Dominance

Author

Listed:
  • Takashi Kamihigashi

    (Research Institute for Economics & Business Administration (RIEB), Kobe University, Japan)

  • John Stachurski

    (Research School of Economics, Australian National University, Australia)

Abstract

In recent years, a range of measures of "partial" or "degree of" stochastic dominance have been introduced. These measures attempt to determine the extent to which one distribution is dominated by another. In order to systematically assess these proposed measures and their relationship to partial stochastic dominance, we adopt an axiomatic approach. We propose axioms for measuring degree of stochastic dominance and study the relationship between them. Among other findings, we show that one and only one measure satisfies all the axioms.

Suggested Citation

  • Takashi Kamihigashi & John Stachurski, 2014. "An Axiomatic Approach to Measuring Degree of Stochastic Dominance," Discussion Paper Series DP2014-36, Research Institute for Economics & Business Administration, Kobe University.
    • Handle: RePEc:kob:dpaper:dp2014-36
    as

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    File URL: https://www.rieb.kobe-u.ac.jp/academic/ra/dp/English/DP2014-36.pdf
    File Function: First version, 2014
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    References listed on IDEAS

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    More about this item

    Keywords

    Stochastic dominance; Stochastic order;

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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