Law invariant concave utility functions and optimization problems with monotonicity and comonotonicity constraints

Carlier Guillaume and Dana Rose-Anne

Statistics & Risk Modeling, 2006, vol. 24, issue 1, 127-152

Abstract: This paper considers a class of one dimensional calculus of variations problems with monotonicity and comonotonicity constraints arising in economic and financial models where law invariant concave criteria (or law invariant convex measures of risk) are used. Existence solutions, optimality conditions, sufficient conditions for the regularity of solutions are established. Applications to risk sharing with convex comonotone law invariant risk measures or with robust utilities are given.

Keywords: law invariant utility functions; monotonicity and comonotonicity; risk-sharing; constrained dynamic optimization (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:bpj:strimo:v:24:y:2006:i:1:p:127-152:n:10

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DOI: 10.1524/stnd.2006.24.1.127

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