Pareto efficient insurance contracts when the insurer's cost function is discontinuous

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A REPRESENTATION RESULT FOR CONCAVE SCHUR CONCAVE FUNCTIONS (2005, methodology): “In Corollary 3.3., H consists of a unique orbit iff v is a Choquet integral with respect to a convex, continuous distortion of P (see also Carlier and Dana 2003a and Wasserman and Kadane 1992).”
Rearrangement inequalities in non-convex insurance models (2005, unknown): “This problem appears naturally in existing models of deterministic auditing (see Picard [27], [28] and Carlier and Dana [7]).”
Optimality of general reinsurance contracts under CTE risk measure (2011, methodology): “The promising techniques to tackle this research problem might be the rearrangement inequality and approximation method as developed by Carlier and Dana (2003) for a utility maximization model; see also Carlier and Dana (2005) and Dana and Scarsini (2007). We would leave this topic as one of the fut”