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Directional monotone comparative statics in function spaces

Author

Listed:
  • Uttiya Paul

    (University of Kansas)

  • Tarun Sabarwal

    (University of Kansas)

Abstract

We characterize x-directional monotone comparative statics in function spaces, generalizing the results in Barthel and Sabarwal (Econ Theor 66(3):557–591, 2018) for finite-dimensional Euclidean spaces, and showing that their proofs generalize to infinite-dimensional spaces. Our generalizations include those for x-directional set order, x-quasisupermodularity, x-single crossing property, and x-basic single crossing property. Differential characterizations are generalized as well. This expands the scope of directional monotone comparative statics to infinite dimensional spaces. We include new examples beyond the scope of earlier results, such as neoclassical growth model, infinite-dimensional consumer theory, and infinite-dimensional directional Le Chatelier principle.

Suggested Citation

  • Uttiya Paul & Tarun Sabarwal, 2023. "Directional monotone comparative statics in function spaces," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 153-169, April.
    • Handle: RePEc:spr:etbull:v:11:y:2023:i:1:d:10.1007_s40505-023-00248-4
    DOI: 10.1007/s40505-023-00248-4
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    More about this item

    Keywords

    Directional monotone comparative statics; Infinite dimensional; x-Directional set order;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D00 - Microeconomics - - General - - - General

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