Unbounded behaviorally consistent stopping rules

Edi Karni*, Zvi Safra

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this article we study behaviorally consistent stopping rules in an unbounded search from a known distribution with no recall and with positive search cost. We show that if the searcher's preferences are quasi-convex in the probabilities, then behaviorally consistent search strategies in the unbounded case are obtained as limits of the corresponding bounded search strategies and are characterized by reservation levels property. Unlike optimal stopping rules under expected utility theory, however, the reservation levels may not be monotonically increasing in the number of permissible stages of the search process, and, in the unbounded case, may not be unique.

Original languageEnglish
Pages (from-to)231-238
Number of pages8
JournalJournal of Risk and Uncertainty
Issue number3
StatePublished - Dec 1994


  • behavioral consistency
  • nonexpected utility
  • stopping rules


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