Bivariate stochastic dominance and substitute risk-(in)dependent utilities

Bivariate stochastic dominance and substitute risk-(in)dependent utilities

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Article ID: iaor20106316
Volume: 7
Issue: 3
Start Page Number: 302
End Page Number: 312
Publication Date: Sep 2010
Journal: Decision Analysis
Authors: ,
Keywords: stochastic dominance
Abstract:

In this paper, we show that, despite their rigid analytical form, substitute risk-independent utilities have a much wider applicability than expected. Our contribution extends that of Mosler (1984) by considering utility functions that exhibit properties beyond nonsatiation and risk aversion (e.g., prudence and temperance). By using the widespread idea of correlation aversion, substitute risk-independent utilities are shown to generate bivariate stochastic dominance. As an application, portfolios are compared to assess the possible hedging effect between two outcomes.

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