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Juan Sebastián Pereyra and Juan Gabriel Brida
''The Solow model in discrete time and decreasing population growth rate''
( 2008, Vol. 3 No.41 )
This paper reformulates the neoclassical Solow-Swan model of economic growth in discrete time by introducing a generic population growth law that verifies the following properties: 1) population is strictly increasing and bounded 2) the rate of growth of population is decreasing to zero as time tends to infinity. We show that in the long run the capital per worker of the model converges to the non-trivial steady state of the Solow Swan model with zero labor growth rate. In addition we prove that the solutions of the model are asymptotically stable.
Keywords: Solow model
JEL: C6 - Mathematical Methods and Programming: General
O4 - Economic Growth and Aggregate Productivity: General
Manuscript Received : Aug 10 2008 Manuscript Accepted : Aug 11 2008

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