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Fraction-Degree Reference Dependent Stochastic Dominance

Author

Listed:
  • Jianping Yang

    (Zhejiang Sci-Tech University)

  • Chaoqun Zhao

    (Zhejiang Sci-Tech University)

  • Weiru Chen

    (Zhejiang Sci-Tech University)

  • Diwei Zhou

    (Loughborough University)

  • Shuguang Han

    (Zhejiang Sci-Tech University
    University of Alberta)

Abstract

For addressing the Allis-type anomalies, a fractional degree reference dependent stochastic dominance rule is developed which is a generalization of the integer degree reference dependent stochastic dominance rules. This new rule can effectively explain why the risk comparison does not satisfy translational invariance and scaling invariance in some cases. The rule also has a good property that it is compatible with the endowment effect of risk. This rule can help risk-averse but not absolute risk-averse decision makers to compare risks relative to reference points. We present some tractable equivalent integral conditions for the fractional degree reference dependent stochastic dominance rule, as well as some practical applications for the rule in economics and finance.

Suggested Citation

  • Jianping Yang & Chaoqun Zhao & Weiru Chen & Diwei Zhou & Shuguang Han, 2022. "Fraction-Degree Reference Dependent Stochastic Dominance," Methodology and Computing in Applied Probability, Springer, vol. 24(2), pages 1193-1219, June.
    • Handle: RePEc:spr:metcap:v:24:y:2022:i:2:d:10.1007_s11009-022-09939-0
    DOI: 10.1007/s11009-022-09939-0
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    References listed on IDEAS

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    1. Mao, Tiantian & Wang, Ruodu, 2022. "Fractional stochastic dominance in rank-dependent utility and cumulative prospect theory," Journal of Mathematical Economics, Elsevier, vol. 103(C).

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