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2016

Weakly time consistent concave valuations and their dual representations

3 years 19 days ago
Weakly time consistent concave valuations and their dual representations
We derive dual characterizations of two notions of weak time consistency for concave valuations, which are convex risk measures under a positive sign convention. Combined with a suitable risk aversion property, these notions are shown to amount to three simple rules for not necessarily minimal representations, describing precisely which features of a valuation determine its unique consistent update. A compatibility result shows that for a time-indexed sequence of valuations it is sufficient to verify these rules only pairwise with respect to the initial valuation, or, in discrete time, only stepwise. We conclude by describing classes of consistently risk averse dynamic valuations with prescribed static properties per time step. This gives rise to a new formalism for recursive valuation.
Berend Roorda, Johannes Schumacher
Added 03 Apr 2016
Updated 03 Apr 2016
Type Journal
Year 2016
Where FS
Authors Berend Roorda, Johannes Schumacher
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