Journal of Risk and Uncertainty

, Volume 9, Issue 3, pp 231–238 | Cite as

Unbounded behaviorally consistent stopping rules

  • Edi Karni
  • Zvi Safra


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.

Key words

behavioral consistency stopping rules nonexpected utility 


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Copyright information

© Kluwer Academic Publishers 1994

Authors and Affiliations

  • Edi Karni
    • 1
  • Zvi Safra
    • 2
  1. 1.Department of EconomicsThe Johns Hopkins UniversityBaltimoreUSA
  2. 2.Faculty of ManagementTel Aviv UniversityTel AvivIsrael

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