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Research Details
Scale or Translation Invariant Additive Preferences
Abstract
A self-contained proof is presented of the fact that any increasing, continuous preferences over contingent payoffs that admit a (possibly state-dependent) additive representation are scale (resp. translation) invariant if and only if they take the form of CRRA (resp. CARA) expected utility, with the probabilities and coefficient of risk aversion uniquely determined as part of the representation. Thus scale or translation invariance allows a significant simplification of the ordinal foundations of subjective expected utility.
Type
Working Paper
Author(s)
Date Published
2016
Citations
Skiadas, Constantinos. 2016. Scale or Translation Invariant Additive Preferences.