English

Complete duality for quasiconvex dynamic risk measures on modules of the $L^{p}$-type

Risk Management 2012-09-06 v2 Probability

Abstract

In the conditional setting we provide a complete duality between quasiconvex risk measures defined on L0L^{0} modules of the LpL^{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.

Keywords

Cite

@article{arxiv.1201.1788,
  title  = {Complete duality for quasiconvex dynamic risk measures on modules of the $L^{p}$-type},
  author = {Marco Frittelli and Marco Maggis},
  journal= {arXiv preprint arXiv:1201.1788},
  year   = {2012}
}