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- handle: 10670/1.xvop2v
- hal: hal-01825777
- doi: 10.1093/jeg/lby041
- WOS: 000509484700005
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info:eu-repo/semantics/altIdentifier/doi/10.1093/jeg/lby041
Mots-clés
cap- ital mobility agglomeration heterogeneous and continuous space infinite dimensional optimal control problems Growth -fin]Sujets proches
Applied science Arts, Useful Useful arts Science, AppliedCiter ce document
Raouf Boucekkine et al., « Growth and Agglomeration in the Heterogeneous Space: A Generalized AK Approach », HAL-SHS : économie et finance, ID : 10.1093/jeg/lby041
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Résumé
We provide with an optimal growth spatio-temporal setting with capital accumulation and diffusion across space in order to study the link between economic growth triggered by capital spatio-temporal dynamics and agglomeration across space. We choose the simplest production function generating growth endogenously, the AK technology but in sharp contrast to the related literature which considers homogeneous space, we derive optimal location outcomes for any given space distributions for technology (through the productivity parameter A) and population. Beside the mathematical tour de force, we ultimately show that agglomeration may show up in our optimal growth with linear technology, its exact shape depending on the interaction of two main effects, a population dilution effect versus a technology space discrepancy effect.