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Equilibrium dynamics in a class of one-sector endogenous growth models with external habits: An application of special functions

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  • Gómez, Manuel A.

Abstract

This paper analyzes the equilibrium dynamics in a class of one-sector endogenous growth models with external habits. Using an explicit solution expressed in terms of the Gauss hypergeometric function, we show that the levels of consumption, habits and capital may exhibit non-monotonic transition dynamics, even though their ratios converge monotonically. A numerical simulation illustrates this result.

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  • Gómez, Manuel A., 2014. "Equilibrium dynamics in a class of one-sector endogenous growth models with external habits: An application of special functions," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 50-54.
    • Handle: RePEc:eee:mateco:v:51:y:2014:i:c:p:50-54
    DOI: 10.1016/j.jmateco.2014.03.001
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    Cited by:

    1. Wei Wang, 2021. "Observational equivalence of balanced growth with external habit formation," Australian Economic Papers, Wiley Blackwell, vol. 60(3), pages 424-434, September.
    2. Bambi, Mauro & Gozzi, Fausto, 2020. "Internal habits formation and optimality," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 165-172.
    3. Augeraud-Veron, Emmanuelle & Bambi, Mauro, 2015. "Endogenous growth with addictive habits," Journal of Mathematical Economics, Elsevier, vol. 56(C), pages 15-25.
    4. Liutang Gong & Wei Wang, 2019. "Diverse Growth Patterns with External Habit Formation," Economics Bulletin, AccessEcon, vol. 39(2), pages 1418-1423.

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