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Subextremal functions and lattice programming

Marco LiCalzi () and Arthur F. Veinott
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Arthur F. Veinott: Stanford University

GE, Growth, Math methods from EconWPA

Abstract: Let M and N be the set of minimizers of a function f over respective subsets K and L of a lattice, with K being lower than L. This paper characterizes the class of functions f for which M is lower (resp., weakly lower, meet lower, join lower, chain lower) than N for all K lower than L. The resulting five classes of functions, called subextremal variants, have alternate characterizations by variants of the downcrossing-differences property, i.e., their first differences change sign at most once from plus to minus along complementary chains.

Keywords: Comparative statics; supermodular functions (search for similar items in EconPapers)
JEL-codes: C6 D5 D9 (search for similar items in EconPapers)
Date: 2005-09-04
Note: Type of Document - pdf; pages: 21. 21 pages, scanned from original on paper to a PDF
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Persistent link: https://EconPapers.repec.org/RePEc:wpa:wuwpge:0509001

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