Stochastic Dominance and Absolute Risk Aversion
AbstractIn this paper we propose the inï¬mum of the Arrow-Pratt index of absolute risk aversion as a measure of global risk aversion of a utility function. We show that, for any given arbitrary pair of distributions, there exists a threshold level of global risk aversion such that all increasing concave utility functions with at least as much global risk aversion would rank the two distributions in the same way. Furthermore, this threshold level is sharp in the sense that, for any lower level of global risk aversion, we can ï¬nd two utility functions in this class yielding opposite preference relations for the two distributions.
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Bibliographic InfoArticle provided by Springer in its journal Social Choice and Welfare.
Volume (Year): 28 (2007)
Issue (Month): 1 (January)
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Web page: http://link.springer.de/link/service/journals/00355/index.htm
Other versions of this item:
- Jordi Caballe & Joan Ma. Esteban, 2002. "Stochastic Dominance and Absolute Risk Aversion," UFAE and IAE Working Papers 506.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Jordi Caballé & Joan Esteban, 2003. "Stochastic Dominance and Absolute Risk Aversion," UFAE and IAE Working Papers 602.03, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Jordi Caballé & Joan Esteban, 2002. "Stochastic dominance and absolute risk aversion," Economics Working Papers 643, Department of Economics and Business, Universitat Pompeu Fabra.
- Jordi Caballé & Joan Esteban, 2003. "Stochastic Dominance and Absolute Risk Aversion," Working Papers 9, Barcelona Graduate School of Economics.
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- D30 - Microeconomics - - Distribution - - - General
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- Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
- Gollier, Christian & Pratt, John W, 1996. "Risk Vulnerability and the Tempering Effect of Background Risk," Econometrica, Econometric Society, vol. 64(5), pages 1109-23, September.
- Caballé, Jordi & Pomansky, Alexey, 1995.
"Mixed Risk Aversion,"
Working Paper Series
444, Research Institute of Industrial Economics.
- Meyer, Jack, 1977. "Second Degree Stochastic Dominance with Respect to a Function," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(2), pages 477-87, June.
- Miles S. Kimball, 1991.
"Standard Risk Aversion,"
NBER Technical Working Papers
0099, National Bureau of Economic Research, Inc.
- Diamond, Peter A. & Stiglitz, Joseph E., 1974. "Increases in risk and in risk aversion," Journal of Economic Theory, Elsevier, vol. 8(3), pages 337-360, July.
- Alain Chateauneuf & Michéle Cohen & Isaac Meilijson, 2005.
"More pessimism than greediness: a characterization of monotone risk aversion in the rank-dependent expected utility model,"
Springer, vol. 25(3), pages 649-667, 04.
- Chateauneuf, A. & Cohen, M. & Meilijson, I., 1997. "More Pessimism than Greediness: A Characterization of Monotone Risk Aversion in the Rank-Dependant Expected Utility Model," Papiers d'Economie MathÃÂ©matique et Applications 97.53, UniversitÃ© PanthÃ©on-Sorbonne (Paris 1).
- Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March.
- Gollier, C. & Kimball, M.S., 1996. "New Methods in the Classical Economics of Uncertainty: Comparing Risks," Papers 96.412, Toulouse - GREMAQ.
- Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
- Meyer, Jack, 1975. "Increasing risk," Journal of Economic Theory, Elsevier, vol. 11(1), pages 119-132, August.
- Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
- Lambert, Peter J. & Hey, John D., 1979. "Attitudes to risk," Economics Letters, Elsevier, vol. 2(3), pages 215-218.
- Pratt, John W & Zeckhauser, Richard J, 1987. "Proper Risk Aversion," Econometrica, Econometric Society, vol. 55(1), pages 143-54, January.
- Eisenhauer, Joseph G., 2006. "Risk aversion and prudence in the large," Research in Economics, Elsevier, vol. 60(4), pages 179-187, December.
- Eisenhauer, Joseph G., 2010. "Rank-ordering of risk preferences with conventional and discrete measures," The Quarterly Review of Economics and Finance, Elsevier, vol. 50(3), pages 291-297, August.
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