Abstract

http://ssrn.com/abstract=1557083
 
 

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Risk Preferences and their Robust Representation


Michael Kupper


Vienna Institute of Finance

Samuel Drapeau


Humboldt University of Berlin - Department of Mathematics

February 22, 2010


Abstract:     
To address the plurality of interpretations of the subjective notion of risk, we describe it by means of a risk order and concentrate on the context invariant features of diversification and monotonicity. Our main results are uniquely characterized robust representations of lower semicontinuous risk orders on vector spaces and convex sets. This representation covers most instruments related to risk and allow for a differentiated interpretation depending on the underlying context which is illustrated in different settings: For random variables, risk perception can be interpreted as model risk, and we compute among others the robust representation of the economic index of riskiness. For lotteries, risk perception can be viewed as distributional risk and we study the "Value at Risk''. For consumption patterns, which excerpt an intertemporality dimension in risk perception, we provide an interpretation in terms of discounting risk and discuss some examples.

Number of Pages in PDF File: 49

Keywords: Risk Preferences, Risk Measures, Robust Representation

JEL Classification: D81, G28, C5, C6

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Date posted: February 23, 2010 ; Last revised: December 26, 2010

Suggested Citation

Kupper, Michael and Drapeau, Samuel, Risk Preferences and their Robust Representation (February 22, 2010). Available at SSRN: http://ssrn.com/abstract=1557083 or http://dx.doi.org/10.2139/ssrn.1557083

Contact Information

Michael Kupper
Vienna Institute of Finance ( email )
Nordbergstrasse 15
Vienna, 1090
Austria
Samuel Drapeau (Contact Author)
Humboldt University of Berlin - Department of Mathematics ( email )
Unter den Linden
Berlin, D-10099
Germany
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