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Characterizing Sustainability in Discrete Time

Geir Asheim () and Tapan Mitra

No 7206, CESifo Working Paper Series from CESifo Group Munich

Abstract: We examine the investment rule that must be satisfied by an efficient and egalitarian path in a discrete-time version of the Dasgupta-Heal-Solow model of capital accumulation and resource depletion. In the discrete-time model, competitive valuation of net investments in terms of early and late pricing differs. We redefine Hartwick's rule to require zero value of net investments at a valuation rule intermediate between these two. Using this definition, we show that along an efficient and egalitarian path, Hartwick's rule is followed in all time periods. We thereby establish the converse of Hartwick's result in discrete time, and we do so under weaker assumptions than those in the existing literature on how output varies as a function of capital and resource use. Our redefinition of Hartwick's rule follows naturally if discrete time is viewed as providing information at discrete points in time of an underlying continuous-time process.

Keywords: intergenerational equity; sustainable development (search for similar items in EconPapers)
JEL-codes: D63 O41 Q01 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-env and nep-gro
Date: 2018
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