Balanced growth and degrowth with human capital

Stefano Bosi (), Carmen Camacho and Thai Ha-Huy ()
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Stefano Bosi: EPEE - Centre d'Etudes des Politiques Economiques - UEVE - Université d'Évry-Val-d'Essonne - Université Paris-Saclay
Carmen Camacho: PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement
Thai Ha-Huy: EPEE - Centre d'Etudes des Politiques Economiques - UEVE - Université d'Évry-Val-d'Essonne - Université Paris-Saclay

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Abstract: In a simple discrete-time version of Lucas (1988) we find that the Balanced Growth Path (BGP) is always the unique optimal planner's solution: with linear or strictly concave production functions, with unbounded utility functions, with or without human capital depreciation. When the "speed" of human capital accumulation is high, the optimal working time is constant and below its upper bound. Capital grows at a constant factor, but degrowth is also possible when this factor is less one (under positive capital depreciation). When this speed is low, optimal working time is at its boundary and capital declines at its depreciation factor (degrowth).

Keywords: Human capital; Balanced growth path (search for similar items in EconPapers)
Date: 2023-11
New Economics Papers: this item is included in nep-gro and nep-upt
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-04805609v1
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Published in Economics Letters, 2023, 232, ⟨10.1016/j.econlet.2023.111348⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-04805609

DOI: 10.1016/j.econlet.2023.111348

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