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Subgradients of law-invariant convex risk measures on L1

  • Gregor Svindland
Published/Copyright: May 12, 2010
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Statistics & Risk Modeling
From the journal Volume 27 Issue 02

Abstract

We introduce a generalised subgradient for law-invariant closed convex risk measures on L1 and establish its relationship with optimal risk allocations and equilibria. Our main result gives sufficient conditions ensuring a non-empty generalised subgradient.


* Correspondence address: École Polytechnique Fédérale de Lausanne, EPFL CDM SFI CSF, EXTRA 218 (Bâtiment Extranef UNIL), 1015 Lausanne, Schweiz,

Published Online: 2010-05-12
Published in Print: 2009-12

© by Oldenbourg Wissenschaftsverlag, München, Germany

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