On Convergence in the Spatial AK Growth Models

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Recent research in economic theory attempts to study optimal economic growth
and spatial location of economic activity in a uniÖed framework. So far, the key result of this literature - asymptotic convergence, even in the absence of decreasing returns to capital - relies on speciÖc assumptions about the objective of the social planner. We show that this result does not depend on such restrictive assumptions and obtains for a broader class of objective functions. We also generalize this Önding, allowing for the time-varying technology parameter, and provide an explicit solution for the dynamics of spatial distribution of the capital stock.
Original languageEnglish
PublisherNamur center for complex systems
Number of pages16
Publication statusPublished - 19 Jan 2014

Publication series

NamenaXys Technical Report Series
PublisherUniversity of Namur


  • Economic Growth
  • Convergence
  • Spatial Dynamics
  • Partial Differential Equations


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