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A new characterization of second-order stochastic dominance

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  • Yuanying Guan
  • Muqiao Huang
  • Ruodu Wang

Abstract

We provide a new characterization of second-order stochastic dominance, also known as increasing concave order. The result has an intuitive interpretation that adding a risk with negative expected value in adverse scenarios makes the resulting position generally less desirable for risk-averse agents. A similar characterization is also found for convex order and increasing convex order. The proof techniques for the main result are based on properties of Expected Shortfall, a family of risk measures that is popular in banking and insurance regulation. Applications in risk management and insurance are discussed.

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  • Yuanying Guan & Muqiao Huang & Ruodu Wang, 2024. "A new characterization of second-order stochastic dominance," Papers 2402.13355, arXiv.org, revised Sep 2024.
    • Handle: RePEc:arx:papers:2402.13355
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    References listed on IDEAS

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