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

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  • Carlier Guillaume
  • Dana Rose-Anne

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.

Suggested Citation

  • Carlier Guillaume & Dana Rose-Anne, 2006. "Law invariant concave utility functions and optimization problems with monotonicity and comonotonicity constraints," Statistics & Risk Modeling, De Gruyter, vol. 24(1), pages 127-152, July.
    • Handle: RePEc:bpj:strimo:v:24:y:2006:i:1:p:127-152:n:10
    DOI: 10.1524/stnd.2006.24.1.127
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