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The Mathematical Correlation between GDP and Macroeconomic Models

In: Proceedings of the 2025 International Conference on Hybrid Commerce, Human Capital, and Economic Dynamics (ICHCH 2025)

Author

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  • Jinxuan Yang

    (Nanjing Shi Ban Qiao Middle School)

Abstract

This study focuses on the research of the gross domestic product (GDP) accounting model, systematically sorts out the accounting framework of GDP, and mainly starts from the expenditure approach to deduce the GDP equilibrium conditions in the two-sector, three-sector and four-sector economic models, revealing the formation mechanism and policy implications of the multiplier effect. Meanwhile, by integrating the Aggregate Demand–Aggregate Supply (AD–AS) framework, the inherent linkage between real GDP fluctuations and the macroeconomy’s general equilibrium was rigorously articulated; calculus, linear algebra, and dynamic optimization were then deployed to derive comparative-static results, simulate policy shocks, test stability conditions, and quantify welfare implications across multiple time horizons. Through the scenario analysis of fiscal, tax and international trade policies, the feasibility and application value of the model were verified. Study shows that scientific GDP accounting and model application help accurately measure the economic aggregate and provide a theoretical basis for the formulation of macroeconomic control policies.

Suggested Citation

  • Jinxuan Yang, 2026. "The Mathematical Correlation between GDP and Macroeconomic Models," Advances in Economics, Business and Management Research, in: Ata Jahangir Moshayedi (ed.), Proceedings of the 2025 International Conference on Hybrid Commerce, Human Capital, and Economic Dynamics (ICHCH 2025), pages 541-549, Springer.
    • Handle: RePEc:spr:advbcp:978-2-38476-585-0_60
    DOI: 10.2991/978-2-38476-585-0_60
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