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Exact measures of income in a hyperbolic economy

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Author Info
PEZZEY, JOHN C.V.
Abstract

For a closed economy with human-made capital, non-renewable resource depletion and (possibly) exogenous, hyperbolic technical progress as explicit-form inputs to a production function, there is a feasible development path that is as if optimal with respect to hyperbolic utility discounting. On this path, typically, welfare-equivalent income wealth-equivalent income Sefton-Weale income net national product, with possibly dramatic differences among these measures; and sustainable income can be greater than, equal to, or less than NNP. For low enough discounting, growing consumption is optimal even when technical progress is zero. A particular discount rate makes all income measures and consumption constant and (except net national product) equal; and zero technical progress then gives the Solow (1974) maximin as a special case. The optimal path is time-consistent because of the way the utility discount rate is chosen to depend on the economy s stocks, and hence on absolute time.

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Publisher Info
Article provided by Cambridge University Press in its journal Environment and Development Economics.

Volume (Year): 9 (2004)
Issue (Month): 04 (August)
Pages: 473-484
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Handle: RePEc:cup:endeec:v:9:y:2004:i:04:p:473-484_00

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  1. Christian Groth & Karl-Josef Koch & Thomas Steger, 2006. "Rethinking the Concept of Long-Run Economic Growth," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
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  2. Asheim, Geir B. & Buchholz, Wolfgang & Hartwick, John M. & Mitra, Tapan & Withagen, Cees, 2005. "Constant savings rates and quasi-arithmetic population growth under exhaustible resource constraints," Memorandum 23/2005, Oslo University, Department of Economics. [Downloadable!]
    Other versions:
  3. John C. V. Pezzey, 2005. "Sustained growth from non-renewable resources: constant absolute genuine savings and constant relative genuine savings compared," Economics and Environment Network Working Papers 0502, Australian National University, Economics and Environment Network. [Downloadable!]
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