Arbeitspapier

Characterizing Sustainability in Discrete Time

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.

Language
Englisch

Bibliographic citation
Series: CESifo Working Paper ; No. 7206

Classification
Wirtschaft
Equity, Justice, Inequality, and Other Normative Criteria and Measurement
One, Two, and Multisector Growth Models
Sustainable Development
Subject
intergenerational equity
sustainable development

Event
Geistige Schöpfung
(who)
Asheim, Geir B.
Mitra, Tapan
Event
Veröffentlichung
(who)
Center for Economic Studies and ifo Institute (CESifo)
(where)
Munich
(when)
2018

Handle
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Asheim, Geir B.
  • Mitra, Tapan
  • Center for Economic Studies and ifo Institute (CESifo)

Time of origin

  • 2018

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