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Complete duality for quasiconvex dynamic risk measures on modules of the $L^{p}$-type
quasiconvex functions dual representation complete duality L0-modules dynamic risk measures quasiconvex risk measures
2012/3/2
We provide a dual representation of quasiconvex conditional risk measures $% \rho $ defined on $L^{0}$ modules of the $L^{p}$ type. This is a consequence of more general result which extend the usual ...
Set-Valued Dynamic Risk Measures
dynamic risk measures transaction costs set-valued risk measures time consistency dual representation
2012/3/2
The paper concerns primal and dual representations as well as time consistency of set-valued dynamic risk measures. Set-valued risk measures appear naturally when markets with transaction costs are co...
This paper gives an overview of the theory of dynamic convex risk measures for random variables in discrete time setting. We summarize robust representation results of conditional convex risk measures...
Superhedging and Dynamic Risk Measures under Volatility Uncertainty
Superhedging Dynamic Risk Measures
2010/12/13
We consider dynamic sublinear expectations (i.e., time-consistent coherent risk measures) whose scenario sets consist of singular measures corresponding to a general form of volatility uncertainty. W...