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Stopping with anticipated regret

Takashi Hayashi

Journal of Mathematical Economics, 2009, vol. 45, issue 7-8, 479-490

Abstract: This paper analyzes a stopping problem where the decision maker is driven by anticipated ex-post regret. There are two sources of potential dynamic inconsistency, one is arrival of information and the other is changing choice opportunities over time--discarding the current stopping option may change how she stops the game in the future. First we consider a naive planner who prescribes a commitment solution, and illustrate the nature of the inconsistency problem. Then we consider a sophisticated planner who plays backward induction against her [`]successive selves'. The resolution of dynamic inconsistency does not in general allow the use of standard dynamic programming technique. We provide, however, a simple characterization of the backward induction strategy, which is given in a recursive formula. We also provide a behavioral implication, that larger indeterminacy of belief may lead to a more aggressive behavior, that is, continuing the gamble longer, which contrasts to the implication of ambiguity aversion.

Keywords: Stopping; Minimax; regret; Dynamic; inconsistency; Backward; induction (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (10)

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