Title

The Intrinsic Qualitative Properties Of The Classical Optimal Stopping Problem Are Invariant To The Functional Form Of The Discount Function

Keywords

Comparative statics; Envelope results; Exponential discount functions; Hyperbolic discount functions; Time consistency

Abstract

The intrinsic qualitative properties of a generic optimal stopping model are shown to be invariant to the functional form of the discount function. If the discount function is assumed to be a member of particular infinite parametric family—a family that includes the exponential and classical hyperbolic discount functions as special cases—an additional refutable comparative statics result is produced that holds for the entire family. Consequently, if one limits econometric tests of the model to its qualitative properties, one cannot determine the form of the discount function used by the decision maker. It is also shown that the only discount function that yields a time-consistent stopping rule is the exponential function with a constant rate of discount. © 2008 Wiley Periodicals, Inc.

Publication Date

1-1-2008

Publication Title

Natural Resource Modeling

Volume

21

Issue

4

Number of Pages

607-624

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1111/j.1939-7445.2008.00025.x

Socpus ID

84873431078 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84873431078

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