Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/185404
Authors: 
Asheim, Geir B.
Mitra, Tapan
Year of Publication: 
2018
Series/Report no.: 
CESifo Working Paper 7206
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.
Subjects: 
intergenerational equity
sustainable development
JEL: 
D63
O41
Q01
Document Type: 
Working Paper

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