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A Three-period Samuelson-Diamond Growth

Author

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  • Blomgren-Hansen, Niels

    (Department of Economics, Copenhagen Business School)

Abstract

Samuelson (1958) analyses a three-period model, whereas Diamod (1965) considers a two-period model. This difference poses the question whether the insights derived by analysing the simple two-period model carry over in the more complicated three-period case. They do. The Samuelson model (no productive capital) has only one positive solution (r = n); however, this root is unstable. The Diamond model (no nonproductive abode of purchasing power) has also only one positive solution; the root is stable but inefficient. In a model with both productive capital and a non-productive abode of purchasing power, the inefficient Diamond solution becomes unstable and the socially optimal solution becomes stable.

Suggested Citation

  • Blomgren-Hansen, Niels, 2005. "A Three-period Samuelson-Diamond Growth," Working Papers 15-2005, Copenhagen Business School, Department of Economics.
  • Handle: RePEc:hhs:cbsnow:2005_015
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    File URL: http://openarchive.cbs.dk/cbsweb/handle/10398/7575
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    JEL classification:

    • H00 - Public Economics - - General - - - General

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