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Characterizing Interdependent Renewable and Nonrenewable resources: A Stochastic Multi-sector Characterization of Bellman's Principle of Optimality

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  • Frank Raymond

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    (Department of Economics, Bellarmine University)

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    Abstract

    This paper focuses on the interaction of renewable and nonrenewable resources within the context of a stochastic model of optimal control. First, although existence of a multidimensional closed form solution to the general multi-sector Bellman model remains an open mathematical question, this analysis offers a characterization which can also be extended to other applications. Second, three stochastic golden rules with respect to resource exploitation are established. Finally, within the context of coastal development, this analysis explains why renewable resources become increasingly vulnerable to random external shocks as nonrenewable resources are depleted.

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    Bibliographic Info

    Paper provided by College of the Holy Cross, Department of Economics in its series Working Papers with number 0005.

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    Date of creation: Jun 2000
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    Handle: RePEc:hcx:wpaper:0005

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