论文信息 - Many good risks: An interpretation of multivariate risk and risk aversion without the Independence axiom

Many good risks: An interpretation of multivariate risk and risk aversion without the Independence axiom

Abstract What can be inferred, without assuming the Independence axiom, about an agent's preferences over many-good lotteries from knowledge that the agent is income risk averse? We show that income risk aversion corresponds to an intuitive substitution property of the many-good lottery preferences that is, itself, equivalent to a standard definition of many-good risk aversion. We apply our approach to derive some well-known results directly from our interpretation of income risk aversion and neutrality.

[1] M. Rothschild,et al. Increasing risk: I. A definition , 1970 .

[2] Leonard J. Mirman,et al. Risk aversion with many commodities , 1974 .

[3] Simon Grant,et al. Many good choice Axioms: When can many-good lotteries be treated as money lotteries? , 1992 .

[4] Larry G. Epstein,et al. Nonexpected utility preferences in a temporal framework with an application to consumption-savings behaviour , 1990 .

[5] J. Stiglitz. Behavior Towards Risk with Many Commodities , 1969 .

[6] U. Rothblum. Multivariate constant risk posture , 1975 .

[7] Edi Karni,et al. ON MULTIVARIATE RISK AVERSION , 1979 .

[8] Larry G. Epstein,et al. A unifying approach to axiomatic non-expected utility theories , 1989 .

[9] Jacob Paroush. Risk premium with many commodities , 1975 .

[10] Zvi Safra,et al. Dominance Axioms and Multivariate Nonexpected Utility Preferences , 1993 .

[11] Bezalel Peleg,et al. Efficiency Analysis for Multivariate Distributions , 1975 .

[12] E. Karni. Generalized Expected Utility Analysis of Multivariate Risk Aversion , 1989 .

[13] George T Duncan,et al. A Matrix Measure of Multivariate Local Risk Aversion , 1977 .

[14] J. Kallberg,et al. Multivariate risk premiums , 1987 .