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A SHORT NOTE ON SECOND-ORDER STOCHASTIC DOMINANCE PRESERVING COHERENT RISK MEASURES
Authors:Johannes  Leitner
Affiliation:Vienna University of Technology
Abstract:We improve results on law invariant coherent risk measures satisfying the Fatou property due to Kusuoka (2001; Adv. Math. Econ . 3, 83–95) by considering risk measures which are in addition second order stochastic dominance preserving. In particular, we derive a representation result for such risk measures.
Keywords:(Law invariant) coherent risk measures    second-order stochastic dominance    average value at risk
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