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Local Utility and Multivariate Risk Aversion

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  • Arthur Charpentier
  • Alfred Galichon
  • Marc Henry

Abstract

We revisit Machina's local utility as a tool to analyze attitudes to multivariate risks. We show that for non-expected utility maximizers choosing between multivariate prospects, aversion to multivariate mean preserving increases in risk is equivalent to the concavity of the local utility functions, thereby generalizing Machina's result in Machina (1982). To analyze comparative risk attitudes within the multivariate extension of rank dependent expected utility of Galichon and Henry (2011), we extend Quiggin's monotone mean and utility preserving increases in risk and show that the useful characterization given in Landsberger and Meilijson (1994) still holds in the multivariate case.

Suggested Citation

  • Arthur Charpentier & Alfred Galichon & Marc Henry, 2021. "Local Utility and Multivariate Risk Aversion," Papers 2102.06075, arXiv.org, revised Feb 2021.
    • Handle: RePEc:arx:papers:2102.06075
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    References listed on IDEAS

    as
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