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arxiv: 1201.1788 · v2 · pith:II3ZCD76new · submitted 2012-01-09 · 💱 q-fin.RM · math.PR

Complete duality for quasiconvex dynamic risk measures on modules of the L^(p)-type

classification 💱 q-fin.RM math.PR
keywords quasiconvexcompletedualitymeasuresmodulesrisktypeappropriate
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In the conditional setting we provide a complete duality between quasiconvex risk measures defined on $L^{0}$ modules of the $L^{p}$ type and the appropriate class of dual functions. This is based on a general result which extends the usual Penot-Volle representation for quasiconvex real valued maps.

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