Constant Savings Rates and Quasi-arithmetic Population Growth under Exhaustible Resource Constraints

G. Asheim, W. Buchholz, J. Hartwick, T. Mitra, C.A.A.M. Withagen

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In the Dasgupta-Heal-Solow-Stiglitz (DHSS) model of capital accumulation and resource depletion we show the following equivalence: if an efficient path has constant (gross and net of population growth) savings rates, then population growth must be quasi-arithmetic and the path is a maximin or a classical utilitarian optimum. Conversely, if a path is optimal according to maximin or classical utilitarianism (with constant elasticity of marginal utility) under quasi-arithmetic population growth, then the (gross and net of population growth) savings rates converge asymptotically to constants. © 2006 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)213-229
Number of pages16
JournalJournal of Environmental Economics and Management
Issue number2
Publication statusPublished - 2007

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