Abstract
This paper reconsiders the familiar Ramsey model of optimal saving. This model is modified with two respects: direct spillovers (positive or negative) of capital on utility and penalties for changes of consumption. It will be shown that these two modifications may substantially change the stability properties of an optimal programme if capital provides utility directly (in addition to indirectly through production). More precisely, complex strategies such as (stable) limit cycles or even unstable policies may be optimal. Adjustment costs must be sufficiently high in order to obtain stable limit cycles (or even exploding spirals). This is quite surprising because large adjustment costs are expected to smooth intertemporal strategies.
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Wirl, F. The ramsey model revisited: The optimality of cyclical consumption and growth. Zeitschr. f. Nationalökonomie 60, 81–98 (1994). https://doi.org/10.1007/BF01228026
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DOI: https://doi.org/10.1007/BF01228026