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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)

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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Bibliographic Info

Paper provided by Economics Group, Nuffield College, University of Oxford in its series Economics Papers with number 2006-W09.

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Length: 13 pages
Date of creation: 14 Aug 2006
Date of revision:
Handle: RePEc:nuf:econwp:0609

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Web page: http://www.nuff.ox.ac.uk/economics/

Related research

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

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  1. Hens, Thorsten & Loeffler, Andras, 1995. "Gross substitution in financial markets," Economics Letters, Elsevier, vol. 49(1), pages 39-43, July.
  2. John K.-H Quah, 2007. "The Comparative Statics of Constrained Optimization Problems," Econometrica, Econometric Society, vol. 75(2), pages 401-431, 03.
  3. Milgrom, P. & Shannon, C., 1991. "Monotone Comparative Statics," Papers 11, Stanford - Institute for Thoretical Economics.
  4. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
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