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Lois de conservation économiques et développement durable

Ferdinand Costes, Vincent Martinet and Gilles Rotillon

Annals of Economics and Statistics, 2008, issue 90, 103-125

Abstract: In the economic literature, sustainability is often defined as the requirement of keeping something constant, or at least non-decreasing, along time (for example, consumption or utility). In this paper, we wonder under which conditions invariant quantities can be found along the optimal paths defined by the classical representation of an economy with an exhaustible resource. We use the Noether theorem to determine the conservation laws of dynamic systems. We examine under which conditions such invariants exist and how they can be interpreted as sustainability indicators.

Date: 2008
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