Stochastic Dominance and Absolute Risk Aversion
AbstractIn this paper we propose the in?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 ?nd two utility functions in this class yielding opposite preference relations for the two distributions.
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Bibliographic InfoPaper provided by Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC) in its series UFAE and IAE Working Papers with number 602.03.
Date of creation: 01 Oct 2003
Date of revision:
Risk aversion; Stochastic dominance;
Other versions of this item:
- Jordi Caballé & Joan Esteban, 2003. "Stochastic Dominance and Absolute Risk Aversion," Working Papers 9, Barcelona Graduate School of Economics.
- 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, 2002. "Stochastic dominance and absolute risk aversion," Economics Working Papers 643, Department of Economics and Business, Universitat Pompeu Fabra.
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- D30 - Microeconomics - - Distribution - - - General
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