Management Science
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MANAGEMENT SCIENCE
Vol. 54, No. 3, March 2008, pp. 586-593
DOI: 10.1287/mnsc.1070.0772
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Mean Variance Vulnerability

Thomas Eichner

Department of Economics, University of Bielefeld, D-33615 Bielefeld, Germany
teichner{at}wiwi.uni-bielefeld.de

This paper transfers the concept of Gollier and Pratt's (Gollier, C., J. W. Pratt. 1996. Risk vulnerability and the tempering effect of background risk. Econometrica 64 1109–1123) risk vulnerability into mean variance preferences. Risk vulnerability is shown to be equivalent to the slope of the mean variance indifference curve being decreasing in mean and increasing in variance. Next, we introduce the notion of mean variance vulnerability to link the concepts of decreasing absolute risk aversion, risk vulnerability, properness, and standardness. All of the abovementioned concepts are characterized in terms of mean variance indifference curve properties and in terms of absolute risk measures.

Key Words: mean; variance; vulnerability; properness; standardness
History: Received: January 24, 2007;


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Operations ResearchHome page
T. Eichner and A. Wagener
Multiple Risks and Mean-Variance Preferences
Operations Research, September 1, 2009; 57(5): 1142 - 1154.
[Abstract] [PDF]




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