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A Selective Survey on Mathematical Programmings in Macroeconomics

Author

Listed:
  • Zongwu Cai

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

  • Jingxian Hu

    (Zhongtai Securities Institute for Financial Studies, Shandong University, Jinan, Shandong 250100, China)

Abstract

This paper surveys the literature for the macroeconomic optimization problems in both discrete and continuous time models in macroeconomics, and provides an overview over some related computational methods in order to solve the models linearly and nonlinearly, and to compute the transition dynamics and the impulse response functions. Also, the introduction of the financial sectors, the continuous time analysis, and the advanced mathematical tools into the general equilibrium framework expands greatly the scope of the interdisciplinary research to mathematics, statistics and econometrics, and creates further space for exploration and collaboration. Finally, some future research issues related to this topic are highlighted.

Suggested Citation

  • Zongwu Cai & Jingxian Hu, 2025. "A Selective Survey on Mathematical Programmings in Macroeconomics," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 202503, University of Kansas, Department of Economics.
    • Handle: RePEc:kan:wpaper:202503
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    File URL: https://kuwpaper.ku.edu/2025Papers/202503.pdf
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    More about this item

    Keywords

    Diffusion models; Dynamic programming; General equilibrium; Finite Element methods; Nonlinear models;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • E37 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Forecasting and Simulation: Models and Applications

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