Dual Approaches to the Analysis of Risk Aversion
AbstractWe present a dual formulation of choice under uncertainty based on a few simple assumptions about preferences. It is shown that the additive separability restriction on preferences, key to expected-utility theory, can be dropped with little loss of analytic power for a broad class of choice problems. Dual risk premiums are characterized, and it is shown that placing various invariance restrictions on them leads naturally to generalizations of the concepts of CARA, CRRA, and LRT familiar from expected-utility theory. Each of these generalizations conforms to a notion of homotheticity. Copyright (c) The London School of Economics and Political Science 2006.
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.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by London School of Economics and Political Science in its journal Economica.
Volume (Year): 74 (2007)
Issue (Month): 294 (05)
Contact details of provider:
Postal: Houghton Street, London WC2A 2AE
Phone: +44 (020) 7405 7686
Web page: http://www.blackwellpublishing.com/journal.asp?ref=0013-0427
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.
- Robert G. Chambers & John Quiggin, 2006. "Dual Approaches to the Analysis of Risk Aversion," Risk & Uncertainty Working Papers WPR06_1, Risk and Sustainable Management Group, University of Queensland.
- 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.:
- Segal, Uzi & Spivak, Avia, 1990.
"First order versus second order risk aversion,"
Journal of Economic Theory,
Elsevier, vol. 51(1), pages 111-125, June.
- Lewbel, Arthur, 1991. "The Rank of Demand Systems: Theory and Nonparametric Estimation," Econometrica, Econometric Society, vol. 59(3), pages 711-30, May.
- 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.
- 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.
- 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.
- 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.
- 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, 2004. "Decision Making with Imprecise Probabilistic Information," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers) halshs-00086021, HAL.
- 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.
- 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.
- 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.
- 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.
- Machina, Mark J, 2001. " Payoff Kinks in Preferences over Lotteries," Journal of Risk and Uncertainty, Springer, vol. 23(3), pages 207-60, November.
- 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.
- Peleg, Bezalel, 1975. "Efficient random variables," Journal of Mathematical Economics, Elsevier, vol. 2(2), pages 243-252.
- Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
- 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.
- Robert G. Chambers & Rolf Färe, 1998. "Translation homotheticity," Economic Theory, Springer, vol. 11(3), pages 629-641.
- 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.
- James Roumasset, 2010.
"Wither the Economics of Agricultural Development?,"
Asian Journal of Agriculture and Development,
Southeast Asian Regional Center for Graduate Study and Research in Agriculture, vol. 7(1), pages 1-16, June.
- James Roumasset, 2010. "Wither The Economics of Agricultural Development?," Working Papers 2010-03, University of Hawaii Economic Research Organization, University of Hawaii at Manoa.
- James Roumasset, 2010. "Wither The Economics of Agricultural Development?," Working Papers 201003, University of Hawaii at Manoa, Department of Economics.
- 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.
- 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: (Wiley-Blackwell Digital Licensing) or (Christopher F. Baum).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.