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DISTORTION RISK MEASURES, AMBIGUITY AVERSION AND OPTIMAL EFFORT

Published online by Cambridge University Press:  04 February 2014

Christian Y. Robert  and
Pierre-E. Therond
Christian Y. Robert*
Affiliation:
Institut de Science Financière et d'Assurances, Université de Lyon, Université Lyon 1, 50 Avenue Tony Garnier, F-69007 Lyon, France
Pierre-E. Therond
Affiliation:
Institut de Science Financière et d'Assurances, Université de Lyon, Université Lyon 1, 50 Avenue Tony Garnier, F-69007 Lyon, France, Galea & Associés – 91 rue de Rennes – F-75006Paris E-mail: pierre@therond.fr
*
E-mail: christian.robert@univ-lyon1.fr
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Abstract

We consider the class of concave distortion risk measures to study how choice is influenced by the decision-maker's attitude to risk and provide comparative statics results. We also assume ambiguity about the probability distribution of the risk and consider a framework à la Klibanoff, Marinacci and Mukerji (2005; A smooth model of decision making under ambiguity. Econometrica, 73, 1849–1892) to study the value of information that resolves ambiguity. We show that this value increases with greater ambiguity, with greater ambiguity aversion, and in some cases with greater risk aversion. Finally, we examine whether a more risk-averse and a more ambiguity-averse individual will invest in more effort to shift his initial risk distribution to a better target distribution.

Keywords

Ambiguityambiguity aversioncomparative statics resultsdistortion risk measuresrisk aversion
Type
Research Article
Information
ASTIN Bulletin: The Journal of the IAA , Volume 44 , Issue 2 , May 2014 , pp. 277 - 302
Copyright
Copyright © ASTIN Bulletin 2014 

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