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On the analysis of endogenous growth models with a balanced growth path

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  • Trimborn, Timo

Abstract

This paper is the first that provides a comprehensive toolkit for analyzing deterministic, continuous-time, endogenous growth models with a balanced growth path. Since it is impossible to analyze the original dynamic system of growing variables, I suggest two different methods of transforming the model variables in order to derive a stationary system. The stationary system can then be used to test for the existence and uniqueness of transition paths and to derive transitional dynamics qualitatively (e.g. by phase diagram analysis) and quantitatively (e.g. by numerical simulation). I provide sufficient conditions under which the transformed dynamic system is autonomous, derive the functional form of the transformed system, and provide instructions of how to analyze the stability properties of the transformed system. Furthermore, I show that the class of models for which the method can be applied exhibits a specific pattern of transitional dynamics. Two identical economies that differ only with respect to the endowment of one state variable are shown to grow with the same balanced growth rate in the long-run, but at different levels.

Suggested Citation

  • Trimborn, Timo, 2018. "On the analysis of endogenous growth models with a balanced growth path," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 40-50.
    • Handle: RePEc:eee:mateco:v:79:y:2018:i:c:p:40-50
    DOI: 10.1016/j.jmateco.2018.09.003
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    Cited by:

    1. Schünemann, Johannes & Trimborn, Timo, 2023. "Boosting taxes for boasting about houses? Status concerns in the housing market," Journal of Economic Behavior & Organization, Elsevier, vol. 205(C), pages 120-143.
    2. Johannes Schünemann & Holger Strulik & Timo Trimborn, 2023. "Anticipation of Future Consumption, Excessive Savings, and Long-Run Growth," Economics Working Papers 2023-10, Department of Economics and Business Economics, Aarhus University.
    3. Anna M. Dugan & Timo Trimborn, 2020. "The Optimal Extraction of Non-Renewable Resources under Hyperbolic Discounting," Economics Working Papers 2020-17, Department of Economics and Business Economics, Aarhus University.

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