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Four notions of mean-preserving increase in risk, risk attitudes and applications to the rank-dependent expected utility model

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  • Chateauneuf, Alain
  • Cohen, Michele
  • Meilijson, Isaac

Abstract

This article presents various notions of risk generated by the intuitively appealing single-crossing operations between distribution functions. These stochastic orders, Bickel & Lehmann dispersion or (its equal-mean version) Quiggin's monotone mean-preserving increase in risk and Jewitt's location-independent risk, have proved to be useful in the study of Pareto allocations, ordering of insurance premia and other applications in the Expected Utility setup. These notions of risk are also relevant tothe Quiggin-Yaari Rank-dependent Expected Utility (RDEU) model of choice among lotteries. Risk aversion is modeled in the vNM Expected Utility model by Rothschild & Stiglitz's Mean Preserving Increase in Risk (MPIR). Realizing that in the broader rank-dependent set-up this order is too weak to classify choice, Quiggin developed the stronger monotone MPIR for this purpose. This paper reviews four notions of mean-preserving increase in risk - MPIR, monotoneMPIR and two versions of location-independent risk (renamed here left and right monotone MPIR) - and shows which choice questions are consistently modeled by each of these four orders.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 40 (2004)
Issue (Month): 5 (August)
Pages: 547-571

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Handle: RePEc:eee:mateco:v:40:y:2004:i:5:p:547-571

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Web page: http://www.elsevier.com/locate/jmateco

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  1. Alain Chateauneuf & Michéle Cohen & Isaac Meilijson, 2005. "More pessimism than greediness: a characterization of monotone risk aversion in the rank-dependent expected utility model," Economic Theory, Springer, Springer, vol. 25(3), pages 649-667, 04.
  2. Landsberger, Michael & Meilijson, Isaac, 1990. "Demand for risky financial assets: A portfolio analysis," Journal of Economic Theory, Elsevier, Elsevier, vol. 50(1), pages 204-213, February.
  3. Moyes Patrick, 1994. "Inequality Reducing and Inequality Preserving Transformations of Incomes: Symmetric and Individualistic Transformations," Journal of Economic Theory, Elsevier, Elsevier, vol. 63(2), pages 271-298, August.
  4. Christian Gollier & Harris Schlesinger, 1996. "Arrow's theorem on the optimality of deductibles: A stochastic dominance approach (*)," Economic Theory, Springer, Springer, vol. 7(2), pages 359-363.
  5. Karni, Edi & Schwartz, Aba, 1977. "Search theory: The case of search with uncertain recall," Journal of Economic Theory, Elsevier, Elsevier, vol. 16(1), pages 38-52, October.
  6. Mich�le D. Cohen, 1995. "Risk-Aversion Concepts in Expected- and Non-Expected-Utility Models," The Geneva Risk and Insurance Review, Palgrave Macmillan, Palgrave Macmillan, vol. 20(1), pages 73-91, June.
  7. Hong, Chew Soo & Karni, Edi & Safra, Zvi, 1987. "Risk aversion in the theory of expected utility with rank dependent probabilities," Journal of Economic Theory, Elsevier, Elsevier, vol. 42(2), pages 370-381, August.
  8. Machina, Mark J & Pratt, John W, 1997. "Increasing Risk: Some Direct Constructions," Journal of Risk and Uncertainty, Springer, Springer, vol. 14(2), pages 103-27, March.
  9. Yaari, Menahem E., 1988. "A controversial proposal concerning inequality measurement," Journal of Economic Theory, Elsevier, Elsevier, vol. 44(2), pages 381-397, April.
  10. Diamond, Peter A. & Stiglitz, Joseph E., 1974. "Increases in risk and in risk aversion," Journal of Economic Theory, Elsevier, Elsevier, vol. 8(3), pages 337-360, July.
  11. Hanoch, G & Levy, Haim, 1969. "The Efficiency Analysis of Choices Involving Risk," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 36(107), pages 335-46, July.
  12. Menahem E. Yaari, 1984. "Risk Aversion Without Diminishing Marginal Utility," STICERD - Theoretical Economics Paper Series, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE 106, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  13. Ian Jewitt, 1989. "Choosing Between Risky Prospects: The Characterization of Comparative Statics Results, and Location Independent Risk," Management Science, INFORMS, INFORMS, vol. 35(1), pages 60-70, January.
  14. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, Elsevier, vol. 2(3), pages 225-243, September.
  15. Ross, Stephen A, 1981. "Some Stronger Measures of Risk Aversion in the Small and the Large with Applications," Econometrica, Econometric Society, Econometric Society, vol. 49(3), pages 621-38, May.
  16. Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, American Economic Association, vol. 59(1), pages 25-34, March.
  17. Chateauneuf, Alain, 1991. "On the use of capacities in modeling uncertainty aversion and risk aversion," Journal of Mathematical Economics, Elsevier, Elsevier, vol. 20(4), pages 343-369.
  18. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, Elsevier, vol. 3(4), pages 323-343, December.
  19. Jewitt, Ian, 1987. "Risk Aversion and the Choice between Risky Prospects: The Preservation of Comparative Statics Results," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 54(1), pages 73-85, January.
  20. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, Econometric Society, vol. 55(1), pages 95-115, January.
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