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Dual Representation Of Monotone Convex Functions On L-0

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Gregor Svindland
2011

Abstract

We study monotone convex functions psi : L-0 (Omega, F, P) -> (-infinity, infinity] and derive a dual representation as well as conditions that ensure the existence of a sigma-additive subgradient. The results are motivated by applications in economic agents' choice theory.

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https://infoscience.epfl.ch/entities/publication/2b4e1109-3e40-4a5f-8c88-494c3d8abd37

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