We study preferences over menus which can be represented as if the agent selects an alternative from a menu and experiences regret if her choice is ex post inferior. Since regret arises from comparisons between the alternative selected and the other available alternatives, our axioms reflect the agent's desire to limit her options. We prove that our representation is essentially unique. We also introduce two measures of comparative regret attitudes and relate them to our representation. Finally, we explore the formal connection between the present work and the literature on temptation.
Dekel, Lipman and Rustichini (2001) (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.
We study preferences for timing of resolution of objective uncertainty in a menuchoice model with two stages of information arrival. We characterize a general class of utility representations called hidden action representations, which interpret an intrinsic preference for timing of resolution of uncertainty as if an unobservable action is taken between the resolution of the two periods of information arrival. These representations permit a richer class of preferences for timing than was possible in the model of Kreps and Porteus (1978) by incorporating a preference for flexibility. Our model contains several special cases where this hidden action can be given a novel economic interpretation.
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