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Additional Notes on the Comparative Statics of Constrained Optimization Problems

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Author Info
John Quah () (St Hugh's College, University of Oxford)

Additional information is available for the following registered author(s):

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.

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File URL: http://www.nuffield.ox.ac.uk/economics/papers/2006/w9/addition.pdf
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Publisher Info
Paper provided by Economics Group, Nuffield College, University of Oxford in its series Economics Papers with number 2006-W09.

Download reference. The following formats are available: HTML, plain text, BibTeX, RIS (EndNote), ReDIF
Length: 13 pages
Date of creation: 14 Aug 2006
Date of revision:
Handle: RePEc:nuf:econwp:0609

Contact details of provider:
Web page: http://www.nuff.ox.ac.uk/economics/

For technical questions regarding this item, or to correct its listing, contact: (Catherine McNeill).

Related research
Keywords: concavity supermodularity comparative statics increasing selection gross substitutability Bertrand competition

Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
D21 - Microeconomics - - Production and Organizations - - - Firm Behavior
F11 - International Economics - - Trade - - - Neoclassical Models of Trade
G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November. [Downloadable!] (restricted)
  2. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-80, January. [Downloadable!] (restricted)
    Other versions:
  3. Hens, Thorsten & Loeffler, Andras, 1995. "Gross substitution in financial markets," Economics Letters, Elsevier, vol. 49(1), pages 39-43, July. [Downloadable!] (restricted)
  4. John K.-H Quah, 2007. "The Comparative Statics of Constrained Optimization Problems," Econometrica, Econometric Society, vol. 75(2), pages 401-431, 03. [Downloadable!] (restricted)
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