In this paper, we show that, despite their rigid analytical form, substitute risk-independent utilities have a much wide applicability than expected. Our contribution extends that of Mosler 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.
Université Catholique de LilleISEG School of Management
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Denuit, M., & Eeckhoudt, L. (2010). Bivariate stochastic dominance and substitute risk-(in)dependent utilities. Decision Analysis, 7(3), 303-312. https://doi.org/10.1287/deca.1100.0179 (Original work published 2010)