Abstract
Efficient risk-sharing rules and equilibria between two agents with utilities in a class that contains the rank dependent expected utility (RDU) are fully characterized. Specific attention is given to the RDU. Call-spreads and contracts with mixed regimes are shown to be efficient. Closed-form solutions are obtained for several examples.
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Carlier, G.: Differentiability of rank linear utilities. J Math Econ (2007, to appear)
Carlier G., Dana R.-A. (2005) Rearrangement inequalities in non convex insurance models. J Math Econ 41, 483–503
Carlier G., Dana R.-A. (2003) Core of a convex distortion of a probability. J Econ Theory 113, 199–222
Carlier, G., Dana, R.-A.: Computing the demand of agents with a law invariant utility, working paper CEREMADE, 2007-4. Available at http://www.ceremade.dauphine.fr/
Carlier G., Dana R.-A. (2006) Law invariant concave utility functions and optimization problems with monotonicity and comonotonicity constraints. Stat Decis 24.1: 127–152
Chew S.H., Epstein L. (1989) A unifying approach to axiomatic non-expected utility theories. J Econ Theory 49, 207–240
Chew S.H., Karni E., Safra E. (1987) Risk aversion in the theory of expected utility with Rank dependent probabilities. Journal of Economic Theory 42, 370–381
Chew S.H., Wakker P. (1996) The comonotonic sure-thing principle. J Risk Uncertain 12, 5–27
Dana R.-A. (2005) A representation result for concave Schur concave functions. Math Finance 15, 613–634
Denneberg D. (1994) Non-additive measures and integral. Holland, Kluwer
Gollier C. (2001) The economics of risk and time. MIT Press, Cambridge
Green J., Jullien B. (1988) Ordinal independence in non-linear utility theory. J Risk Uncertain 1, 355–387
Huang C.F., Litzenberger R.H. (1988) Foundations for financial economics. Amsterdam, North-Holland
Landsberger M., Meilijson I. (1994) Comonotone allocations, Bickel-Lehmann dispersion and the Arrow-Pratt measure of risk aversion. Ann Oper Res 52, 97–106
Mussa M., Rosen S. (1978) Monopoly and product quality. J Econ Theory 18, 301–317
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Carlier, G., Dana, R.A. Two-persons efficient risk-sharing and equilibria for concave law-invariant utilities. Economic Theory 36, 189–223 (2008). https://doi.org/10.1007/s00199-007-0266-z
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DOI: https://doi.org/10.1007/s00199-007-0266-z