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Zero discounting and optimal paths of depletion of an exhaustible resource with an amenity value

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  • Antoine d’Autume
  • Katheline Schubert

Abstract

This paper studies the undiscounted utilitarian optimal paths of the canonicalDasgupta-Heal-Solow model when the stock of natural capital is a direct argument ofwell-being, besides consumption. We use a Keynes-Ramsey rule which yields a generalization of Hartwick?s rule : if society has a zero discount rate but is ready to acceptintertemporal substitution, net investment should not be zero as in the maximin casebut should be positive, its level depending on the distance between the current and thelong run bliss level of utility. We characterize solutions in the Cobb-Douglas utility andproduction case, and analyse the influence of the intertemporal elasticity of substitutionon the time profile of the optimal paths. We show that, in the Cobb-Douglas case, theratio of the values of the resource and capital stocks remains constant along the optimal path, and is independent of initial conditions.

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Bibliographic Info

Article provided by Dalloz in its journal Revue d'économie politique.

Volume (Year): Volume 118 (2008)
Issue (Month): 6 ()
Pages: 827-845

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Handle: RePEc:cai:repdal:redp_186_0827

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Web page: http://www.cairn.info/revue-d-economie-politique.htm

Related research

Keywords: exhaustible resources; Hartwick's rule; intertemporal substitution;

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Cited by:
  1. repec:hal:cesptp:halshs-00547282 is not listed on IDEAS
  2. Antoine d'Autume & John M. Hartwick & Katheline Schubert, 2009. "The zero discounting and maximin optimal paths in a simple model of global warming," Documents de travail du Centre d'Economie de la Sorbonne 09013, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  3. Robert D. Cairns & Vincent Martinet, 2012. "An Environmental-Economic Measure of Sustainable Development," EconomiX Working Papers 2012-2, University of Paris West - Nanterre la Défense, EconomiX.

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