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Additional Notes on the Comparative Statics of Constrained Optimization Problems

Author

Listed:
  • 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.

Suggested Citation

  • John Quah, 2006. "Additional Notes on the Comparative Statics of Constrained Optimization Problems," Economics Papers 2006-W09, Economics Group, Nuffield College, University of Oxford.
    • Handle: RePEc:nuf:econwp:0609
    as

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    File URL: http://www.nuffield.ox.ac.uk/economics/papers/2006/w9/addition.pdf
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    References listed on IDEAS

    as
    1. John K.-H Quah, 2007. "The Comparative Statics of Constrained Optimization Problems," Econometrica, Econometric Society, vol. 75(2), pages 401-431, March.
    2. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    3. Hens, Thorsten & Loeffler, Andras, 1995. "Gross substitution in financial markets," Economics Letters, Elsevier, vol. 49(1), pages 39-43, July.
    4. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    concavity; supermodularity; comparative statics; increasing selection; gross substitutability; Bertrand competition;
    All these keywords.

    JEL classification:

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

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