Linear-Risk-Tolerant, Invariant Risk Preferences
Quiggin and Chambers have introduced the notion of invariant preferences, and shown that the only invariant expected-utility functionals are those associated with a quadratic utility function. This note identifies the class of preferences which simultaneously satisfy invariance, two-fund portfolio separation, and linear risk tolerance to determine if there exist meaningful classes of preferences, which inherit much of the quadratic family's theoretical and empirical tractability, but do not necessarily inherit its more unattractive properties when regarded as preferences over wealth.
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- Chambers, Robert G, 2001. "Consumer's Surplus As an Exact and Superlative Cardinal Welfare Indicator," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(1), pages 105-19, February.
- 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.
- 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.
- 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.
- Luenberger, David G., 1992. "Benefit functions and duality," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 461-481.
- Quiggin, John & Chambers, R.G.Robert G., 2004. "Invariant risk attitudes," Journal of Economic Theory, Elsevier, vol. 117(1), pages 96-118, July.
- 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.
- Yaari, Menahem E., 1969. "Some remarks on measures of risk aversion and on their uses," Journal of Economic Theory, Elsevier, vol. 1(3), pages 315-329, October.
- Safra, Zvi & Segal, Uzi, 1998. "Constant Risk Aversion," Journal of Economic Theory, Elsevier, vol. 83(1), pages 19-42, 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.
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