Additional Notes on the Comparative Statics of Constrained Optimization Problems

John Quah

No 2006-W09, Economics Papers from Economics Group, Nuffield College, University of Oxford

Abstract: These are additional notes relating to the paper `The Comparative Statics of Constrained Optimization Problems' which is appearing in Econometrica. It gathers together material present in various earlier versions of the paper, as well as some new material, which are not found in the published article or in its Supplement (both available at the journal website). In particular, these notes establish conditions for the existence of increasing selections. It also includes two simple applications of our techniques: to find conditions for gross substitutability of a demand function and conditions for increasing best response in a model of Bertrand competition. These notes are not meant to be a self-contained account of the theory, so are best consulted after reading the main paper.

Keywords: concavity; supermodularity; comparative statics; increasing selection; gross substitutability; Bertrand competition (search for similar items in EconPapers)
JEL-codes: C61 D11 D21 F11 G11 (search for similar items in EconPapers)
Pages: 13 pages
Date: 2006-08-14
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Persistent link: https://EconPapers.repec.org/RePEc:nuf:econwp:0609

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