A Simple Preference-Foundation of Cumulative Prospect Theory with Power Utility

P.P. Wakker*, H. Zank

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review


Most empirical studies of rank-dependent utility and cumulative prospect theory have assumed power utility functions, both for gains and for losses. As it turns out, a remarkably simple preference foundation is possible for such models: Tail independence (a weakening of comonotonic independence which underlies all rank-dependent models) together with constant proportional risk aversion suffice, in the presence of common assumptions (weak ordering, continuity, and first stochastic dominance), to imply these models. Thus, sign dependence, the different treatment of gains and losses, and the separation of decision weights and utility are obtained free of charge.
Original languageEnglish
Pages (from-to)1253-1271
JournalEuropean Economic Review
Publication statusPublished - 1 Jan 2002

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