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Representing preferences with a unique subjective state space: a corrigendum. (English) Zbl 1132.91421

Summary: E. Dekel, B. L. Lipman and A. Rustichini [Econometrica 69, No. 4, 891–934 (2001; Zbl 1026.91032)] (henceforth DLR) axiomatically characterized three representations of preferences that allow for a desire for flexibility and/or commitment. In one of these representations (ordinal expected utility), the independence axiom is stated in a weaker form than is necessary to obtain the representation; in another (additive expected utility), the continuity axiom is too weak. In this erratum we provide examples showing that the axioms used by DLR are not sufficient, and provide stronger versions of these axioms that, together with the other axioms used by DLR, are necessary and sufficient for these two representations.

MSC:

91B16 Utility theory

Citations:

Zbl 1026.91032
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