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math.OC2026
A Rank-Dependent Theory for Decision under Risk and Ambiguity
Roger J. A. Laeven, Mitja Stadje
This paper axiomatizes, in a two-stage setup, a new theory for decision under risk and ambiguity. The axiomatized preference relation on the space of random v…
math.OC2025
Robust Optimization of Rank-Dependent Models with Uncertain Probabilities
Guanyu Jin, Roger J. A. Laeven, Dick den Hertog
This paper studies distributionally robust optimization for a rich class of risk measures with ambiguity sets defined by -divergences. The risk measures are allowed to be non-l…
math.OC2024
Constructing Uncertainty Sets for Robust Risk Measures: A Composition of -Divergences Approach to Combat Tail Uncertainty
Guanyu Jin, Roger J. A. Laeven, Dick den Hertog +1
Risk measures, which typically evaluate the impact of extreme losses, are highly sensitive to misspecification in the tails. This paper studies a robust optimization approach to co…