Some envelope theorems for integer and discrete choice variables.

The envelope theorem is a genuine workhorse of economic analysis. Typically, this theorem requires that the choice variables be continuous. This paper derives envelope theorems, previously unavailable in the literature, for use with integer and discrete choice variables. Our results, which are int...

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Bibliographic Details
Published in:International Economic Review Vol. 39; no. 3; pp. 623 - 635
Main Authors: Sah, Raaj K., Zhao, Jingang
Format: Article
Published: Wiley-Blackwell August 1998
Subjects:
Online Access:View this record in EBSCOhost
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        atl: Some envelope theorems for integer and discrete choice variables.
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          Sah, Raaj K.
          Zhao, Jingang
      su:
        Economic decision making
        Integer programming
      sug:
        subj:
          Economic decision making
          Integer programming
      ab: The envelope theorem is a genuine workhorse of economic analysis. Typically, this theorem requires that the choice variables be continuous. This paper derives envelope theorems, previously unavailable in the literature, for use with integer and discrete choice variables. Our results, which are intuitive, thus make it possible to use the envelope theorem in a variety of analyses in which the natural description of choice variables is not continuous. Among such choice variables are the number of projects, plants, and a couple's children, as well as binary (yes-no) choices such as labor-force participation, home ownership, and migration. Reprinted by permission of the publisher.
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