Core of convex distortions of a probability

Journal of Economic Theory - Tập 113 Số 2 - Trang 199-222 - 2003
Guillaume Carlier1, Rose Anne Dana2
1GRAPE, Université Bordeaux 4 Montesquieu, Avenue Léon Duguit, 33608 Pessac, France
2Ceremade, Université Paris-Dauphine, Place de Lattre de Tassigny, 75775 Paris Cédex 16, France

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Tài liệu tham khảo

J.-P. Aubin, Optima and Equilibria, An Introduction to Nonlinear Analysis, 2nd Edition, Graduate Texts in Mathematics, Springer, Berlin, 1998.

Bewley, 1972, Existence of equilibria in economies with infinitely many commodities, J. Econom. Theory, 4, 514, 10.1016/0022-0531(72)90136-6

G. Carlier, R.-A. Dana, Insurance contracts with deductibles and upper limits, Working paper, CEREMADE, 2001.

A. Chateauneuf, M. Cohen, R. Kast, Comonotone random variables in economics, a review of some results, Working paper, CERMSEM, 1997.

Chateauneuf M. Cohen, 1997, New tools to better model behavior under risk and uncertainty, Finance, 18, 25

Chew, 1987, Risk aversion in the theory of expected utility with Rank dependent probabilities, J. Econom. Theory, 42, 370, 10.1016/0022-0531(87)90093-7

Chew, 1995, A Shur concave characterization of risk aversion for nonexpected utility preferences, J. Econom. Theory, 67, 402, 10.1006/jeth.1995.1079

K.M. Chong, N.M. Rice, Equimeasurable Rearrangements of functions, Queen's Papers in Pure and Applied Mathematics, Vol. 28, 1971.

R.-A. Dana, Stochastic dominance, risk, dispersion and equilibrium asset pricing, Working paper, CEREMADE, 2000.

Delbaen, 1974, Convex games and extreme points, J. Math. Anal. Appl., 45, 210, 10.1016/0022-247X(74)90133-4

Denneberg, 1994

Dow, 1992, Uncertainty aversion, risk aversion, and the optimal choice of portofolio, Econometrica, 60, 197, 10.2307/2951685

Landsberger, 1992, Comonotone allocations, Bickel Lehmann dispersion and the Arrow–Pratt measure of risk aversion, Ann. Oper. Res., 52, 97, 10.1007/BF02033185

Machina, 1982, Expected utility analysis without the independence axiom, Econometrica, 50, 277, 10.2307/1912631

Machina, 1989, Comparative statics and nonexpected utility preferences, J. Econom. Theory, 47, 393, 10.1016/0022-0531(89)90025-2

Meyer, 1966

Quiggin, 1982, A Theory of anticipated utility, J. Econom. Behav. Organ., 3, 323, 10.1016/0167-2681(82)90008-7

Ryff, 1967, Extreme points of some convex subsets of L1, Proc. AMS, 117, 1026

Ryff, 1970, Measure preserving transformations and rearrangements, J. Math. Anal. Appl., 31, 449, 10.1016/0022-247X(70)90038-7

Schmeidler, 1972, Cores of exact games, J. Math. Anal. Appl., 40, 214, 10.1016/0022-247X(72)90045-5

Schmeidler, 1979, A bibliographical note on a theorem of Hardy, Littlewood, and Pòlya, J. Econom. Theory, 20, 125, 10.1016/0022-0531(79)90067-X

Schmeidler, 1986, Integral representation without additivity, Proc. AMS, 97, 255, 10.1090/S0002-9939-1986-0835875-8

Valadier, 1969, Sous-différentiels d'une borne supérieure et d'une somme continue de fonctions convexes, C.R. Acad. Sci. Paris, 268, 39

Wang, 1993, Lp-Fréchet differentiable preference and local utility analysis, J. Econom. Theory, 61, 139, 10.1006/jeth.1993.1062

Yaari, 1987, The dual theory of choice under risk, Econometrica, 55, 95, 10.2307/1911158