Econometrica: Jul 1985, Volume 53, Issue 4

Decreasing Risk Aversion and Mean-Variance Analysis

https://doi.org/0012-9682(198507)53:4<945:DRAAMA>2.0.CO;2-R
p. 945-962

Larry G. Epstein

This paper formulates a set of decreasing-absolute-risk-aversion postulates and shows that only mean-variance utility functionals can satisfy them. These postulates are used to axiomatize specific classes of mean-variance functionals. Finally, an equivalence is established between these postulates and corresponding comparative statics properties of asset demands in two-asset portfolio problems.

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