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Distributional Comparative Statics

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  • Martin Kaae Jensen
Abstract
An important set of questions in economics concern how changes in the distribution of economic parameters (income, wealth, productivity, distortions, information, etc.) impact individual choices and market outcomes. We currently do not have tools to answer such questions. In this paper, I develop a theory of distributional comparative statics that addresses this set of issues. Central to the developments is a new concept called strategic risk-aversion which determines the outcome of the most distributional comparative statics exercises. As illustrations, I analyze the relationship between savings and the inequality, ask how risk influences agents' behavior in Bayesian games, and study con-cavity of policy functions in general stochastic dynamic programming problems.

Suggested Citation

  • Martin Kaae Jensen, 2012. "Distributional Comparative Statics," Discussion Papers 12-08, Department of Economics, University of Birmingham.
    • Handle: RePEc:bir:birmec:12-08
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    References listed on IDEAS

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    1. Martin Kaae Jensen, 2018. "Distributional Comparative Statics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(1), pages 581-610.
    2. Iñaki Aguirre & Simon Cowan & John Vickers, 2010. "Monopoly Price Discrimination and Demand Curvature," American Economic Review, American Economic Association, vol. 100(4), pages 1601-1615, September.
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    19. Acemoglu, Daron & Jensen, Martin Kaae, 2013. "Aggregate comparative statics," Games and Economic Behavior, Elsevier, vol. 81(C), pages 27-49.
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    Cited by:

    1. Mira Frick & Ryota Iijima & Yuhta Ishii, 2018. "Dispersed Behavior and Perceptions in Assortative Societies," Cowles Foundation Discussion Papers 2128R2, Cowles Foundation for Research in Economics, Yale University, revised Oct 2021.
    2. Anwesha Banerjee & Nicolas Gravel, 2020. "Contribution to a public good under subjective uncertainty," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(3), pages 473-500, June.
    3. Martin Kaae Jensen, 2018. "Distributional Comparative Statics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(1), pages 581-610.
    4. David Staines, 2023. "Stochastic Equilibrium the Lucas Critique and Keynesian Economics," Papers 2312.16214, arXiv.org, revised Jun 2024.
    5. Camacho, Carmen & Kamihigashi, Takashi & Sağlam, Çağrı, 2018. "Robust comparative statics for non-monotone shocks in large aggregative games," Journal of Economic Theory, Elsevier, vol. 174(C), pages 288-299.
    6. Acikgoz, Omer, 2015. "On the Existence and Uniqueness of Stationary Equilibrium in Bewley Economies with Production," MPRA Paper 71066, University Library of Munich, Germany, revised 30 Apr 2016.
    7. Açıkgöz, Ömer T., 2018. "On the existence and uniqueness of stationary equilibrium in Bewley economies with production," Journal of Economic Theory, Elsevier, vol. 173(C), pages 18-55.
    8. Mekonnen, Teddy & Leal Vizcaíno, René, 2022. "Bayesian comparative statics," Theoretical Economics, Econometric Society, vol. 17(1), January.
    9. Stachurski, John & Toda, Alexis Akira, 2019. "An impossibility theorem for wealth in heterogeneous-agent models with limited heterogeneity," Journal of Economic Theory, Elsevier, vol. 182(C), pages 1-24.
    10. Daron Acemoglu & Martin Kaae Jensen, 2015. "Robust Comparative Statics in Large Dynamic Economies," Journal of Political Economy, University of Chicago Press, vol. 123(3), pages 587-640.
    11. Damir Stijepic, 2019. "The impact of the productivity dispersion across employers on the labor's income share," Economics Bulletin, AccessEcon, vol. 39(1), pages 73-83.
    12. 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.
    13. Carmen Camacho & Hye-Jin Cho, 2020. "Sorting in Credit Rationing: An Elementary Survey," PSE Working Papers halshs-03030433, HAL.
    14. Carmen Camacho & Hye-Jin Cho, 2020. "Sorting in Credit Rationing: An Elementary Survey," Working Papers halshs-03030433, HAL.
    15. Sanjith Gopalakrishnan & Daniel Granot & Frieda Granot & Greys Sošić & Hailong Cui, 2021. "Incentives and Emission Responsibility Allocation in Supply Chains," Management Science, INFORMS, vol. 67(7), pages 4172-4190, July.
    16. Adriani, Fabrizio & Sonderegger, Silvia, 2019. "A theory of esteem based peer pressure," Games and Economic Behavior, Elsevier, vol. 115(C), pages 314-335.
    17. Mira Frick & Ryota Iijima & Yuhta Ishii, 2018. "Dispersed Behavior and Perceptions in Assortative Societies," Cowles Foundation Discussion Papers 2128R3, Cowles Foundation for Research in Economics, Yale University, revised Jun 2022.

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    More about this item

    Keywords

    Comparative statics; strategic risk-aversion; income distribution; inequality; uncertainty; Bayesian games; dynamic stochastic general equilibrium models; concavity; convexity; policy functions; arg max correspondence;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • E20 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - General (includes Measurement and Data)
    • I30 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General

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