A converse comparison theorem for discrete-time finite-state BSDEs and risk measures using g-expectation
Date
2013
Authors
Elliott, R.J.
Lin, Y.
Yang, H.
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Communications on Stochastic Analysis, 2013; 7(2):227-244
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Abstract
This paper studies properties of non-linear expectations defined using the discrete-time finite-state Backward Stochastic Difference Equations (BSDE) proposed by Cohen and Elliott [6]. We also establish a converse comparison theorem. Properties of risk measures defined by non-linear expectations,especially the representation theorems, will be given. Finally we apply the theory of BSDEs to optimal design of dynamic risk measures.
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Copyright 2013 Serials Publications