Dual Approaches to the Analysis of Risk Aversion
AbstractDual approaches have proved their value in many areas of economic analysis. Until recently, however, they have been virtually ignored in the analysis of choice under uncertainty.In this paper, we present a dual formulation of choice under uncertainty based on a few simple assumptions about preferences, namely, continuity, monotonicity and convexity of preference sets. Particular emphasis is given to showing that the additive separability restriction, key to expected-utility theory, on preferences can be dropped with little loss of analytic power for a broad class of choice problems.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Risk and Sustainable Management Group, University of Queensland in its series Risk & Uncertainty Working Papers with number WPR06_1.
Date of creation: Mar 2006
Date of revision:
Contact details of provider:
Postal: Colin Clark Building, no 39, St. Lucia, Qld. 4072
Phone: +61 7 3365 6601
Fax: +61 7 3365 6601
Web page: http://www.uq.edu.au/rsmg/index.htm
More information through EDIRC
Other versions of this item:
- Chambers, Robert G. & Quiggin, John C., 2002. "Dual Approaches To The Analysis Of Risk Aversion," Working Papers 28606, University of Maryland, Department of Agricultural and Resource Economics.
- Chambers, Robert G & Quiggin, John, 2006. "Dual approaches to the analysis of risk aversion," Risk and Sustainable Management Group Working Papers 151175, University of Queensland, School of Economics.
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Lwebel Arthur & Perraudin William, 1995. "A Theorem on Portfolio Separation with General Preferences," Journal of Economic Theory, Elsevier, vol. 65(2), pages 624-626, April.
- Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
- Sandmo, Agnar, 1971. "On the Theory of the Competitive Firm under Price Uncertainty," American Economic Review, American Economic Association, vol. 61(1), pages 65-73, March.
- Thibault Gadjos & Jean-Marc Tallon & Jean-Christophe Vergnaud, 2002.
"Decision Making with Imprecise Probabilistic Information,"
2002-33, Centre de Recherche en Economie et Statistique.
- Gajdos, Thibault & Tallon, Jean-Marc & Vergnaud, Jean-Christophe, 2004. "Decision making with imprecise probabilistic information," Journal of Mathematical Economics, Elsevier, vol. 40(6), pages 647-681, September.
- Thibault Gajdos & Jean-Marc Tallon & Jean-Christophe Vergnaud, 2002. "Decision Making with Imprecise Probabilistic Information," ICER Working Papers - Applied Mathematics Series 18-2003, ICER - International Centre for Economic Research, revised May 2003.
- Thibault Gajdos & Jean-Marc Tallon & Jean-Christophe Vergnaud, 2004. "Decision Making with Imprecise Probabilistic Information," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers) halshs-00086021, HAL.
- Epstein, Larry G. & Zin, Stanley E., 1990.
"'First-order' risk aversion and the equity premium puzzle,"
Journal of Monetary Economics,
Elsevier, vol. 26(3), pages 387-407, December.
- L. Epstein & S. Zin, 2010. "First order risk aversion and the equity premium puzzle," Levine's Working Paper Archive 1400, David K. Levine.
- Lewbel, Arthur, 1991. "The Rank of Demand Systems: Theory and Nonparametric Estimation," Econometrica, Econometric Society, vol. 59(3), pages 711-30, May.
- Robert G. Chambers & Rolf Färe, 1998. "Translation homotheticity," Economic Theory, Springer, vol. 11(3), pages 629-641.
- Feder, Gershon, 1977. "The impact of uncertainty in a class of objective functions," Journal of Economic Theory, Elsevier, vol. 16(2), pages 504-512, December.
- Milne, Frank, 1979. "Consumer Preferences, Linear Demand Functions and Aggregation in Competitive Asset Markets," Review of Economic Studies, Wiley Blackwell, vol. 46(3), pages 407-17, July.
- Cass, David & Stiglitz, Joseph E., 1970. "The structure of investor preferences and asset returns, and separability in portfolio allocation: A contribution to the pure theory of mutual funds," Journal of Economic Theory, Elsevier, vol. 2(2), pages 122-160, June.
- Milgrom, Paul, 1994. "Comparing Optima: Do Simplifying Assumptions Affect Conclusions?," Journal of Political Economy, University of Chicago Press, vol. 102(3), pages 607-15, June.
- Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August.
- Quiggin, John & Chambers, Robert G, 1998. "Risk Premiums and Benefit Measures for Generalized-Expected-Utility Theories," Journal of Risk and Uncertainty, Springer, vol. 17(2), pages 121-37, November.
- Luenberger, David G., 1992. "Benefit functions and duality," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 461-481.
- Machina, Mark J, 2001. " Payoff Kinks in Preferences over Lotteries," Journal of Risk and Uncertainty, Springer, vol. 23(3), pages 207-60, November.
- Blackorby, Charles & Donaldson, David, 1980. "A Theoretical Treatment of Indices of Absolute Inequality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(1), pages 107-36, February.
- Segal, Uzi & Spivak, Avia, 1990.
"First order versus second order risk aversion,"
Journal of Economic Theory,
Elsevier, vol. 51(1), pages 111-125, June.
- Peleg, Bezalel, 1975. "Efficient random variables," Journal of Mathematical Economics, Elsevier, vol. 2(2), pages 243-252.
- Safra, Zvi & Segal, Uzi, 1998. "Constant Risk Aversion," Journal of Economic Theory, Elsevier, vol. 83(1), pages 19-42, November.
- Brennan, M. J. & Kraus, A., 1976. "The Geometry of Separation and Myopia," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 11(02), pages 171-193, June.
- Trino-Manuel Niguez & Ivan Paya & D Peel & Javier Perote, 2013. "Higher-order moments in the theory of diversification and portfolio composition," Working Papers 18297128, Lancaster University Management School, Economics Department.
- James Roumasset, 2010.
"Wither The Economics of Agricultural Development?,"
2010-03, University of Hawaii Economic Research Organization, University of Hawaii at Manoa.
- Robert G. Chambers & John Quiggin, 2004.
"Linear-Risk-Tolerant, Invariant Risk Preferences,"
Risk & Uncertainty Working Papers
WPR04_3, Risk and Sustainable Management Group, University of Queensland.
- Chambers, Robert G & Quiggin, John, 2004. "Linear-Risk-Tolerant, Invariant Risk Preferences," Risk and Sustainable Management Group Working Papers 151162, University of Queensland, School of Economics.
- Robert Chambers & Rolf Färe, 2008. "A “calculus” for data envelopment analysis," Journal of Productivity Analysis, Springer, vol. 30(3), pages 169-175, December.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (David Adamson).
If references are entirely missing, you can add them using this form.