We provide a characterization in terms of Fatou closedness for weakly closed monotone convex sets in the space of P-quasisure bounded random variables, where P is a (possibly non-dominated) class of probability measures. We illustrate the relevance of our results by applications in the field of Mathematical Finance .
We provide a characterization in terms of Fatou closedness for weakly closed monotone convex sets in the space of P-quasisure bounded random variables, where P is a (possibly non-dominated) class of probability measures. Applications of our results lie within robust versions the Fundamental Theorem of Asset Pricing or dual representation of convex risk measures .
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We illustrate the relevance
Applications
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by applications in the field of Mathematical Finance
lie within robust versions the Fundamental Theorem of Asset Pricing or dual representation of convex risk measures