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Order Nearest Comparative Statics of Equilibria

Author

Listed:
  • Tarun Sabarwal

    (Department of Economics, University of Kansas, Lawrence, KS 66045, USA)

Abstract

Order nearest comparisons of equilibria are intrinsic in many models but general results showing such comparisons have remained elusive in the natural setting of partially ordered sets of actions and monotone selections from best choices. We provide such theorems. We apply these theorems to show rich order nearest comparative statics of equilibria in models where it was not possible do so using earlier results. We don’t use any continuity properties and subsume the earlier lattice-based theory seamlessly as a special case. Our framework includes classes of stochastic dynamic environments in decision-making under uncertainty beyond the reach of lattice-based approaches, showing the power of our new analytical tools to deepen the study of equilibrium behavior in broad new settings.

Suggested Citation

  • Tarun Sabarwal, 2021. "Order Nearest Comparative Statics of Equilibria," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 202517, University of Kansas, Department of Economics, revised Dec 2025.
    • Handle: RePEc:kan:wpaper:202517
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    File URL: https://kuwpaper.ku.edu/2025Papers/202517.pdf
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    References listed on IDEAS

    as
    1. Feng, Yue & Sabarwal, Tarun, 2020. "Strategic complements in two stage, 2 × 2 games," Journal of Economic Theory, Elsevier, vol. 190(C).
    2. Roy, Sunanda & Sabarwal, Tarun, 2012. "Characterizing stability properties in games with strategic substitutes," Games and Economic Behavior, Elsevier, vol. 75(1), pages 337-353.
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    5. Anne-Christine Barthel & Tarun Sabarwal, 2018. "Directional monotone comparative statics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(3), pages 557-591, October.
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    8. Amir, Rabah, 1996. "Sensitivity analysis of multisector optimal economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 123-141.
    9. Yue Feng & Tarun Sabarwal, 2020. "Dynamic strategic complements in two stage, 2x2 games," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 202006, University of Kansas, Department of Economics.
    10. Balbus, Lukasz & Dziewulski, Pawel & Reffett, Kevin & Wozny, Lukasz, 2022. "Markov distributional equilibrium dynamics in games with complementarities and no aggregate risk," Theoretical Economics, Econometric Society, vol. 17(2), May.
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    13. Echenique, Federico & Oviedo, Jorge, 2004. "Core many-to-one matchings by fixed-point methods," Journal of Economic Theory, Elsevier, vol. 115(2), pages 358-376, April.
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    15. Anne-Christine Barthel & Eric Hoffmann & Tarun Sabarwal, 2021. "A Unified Approach to p-Dominance and its Generalizations in Games with Strategic Complements and Substitutes," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 202109, University of Kansas, Department of Economics.
    16. 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.
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    Keywords

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    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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