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Invariance in growth theory and sustainable development

机译：增长理论与可持续发展的不变性

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This paper analyzes the general concept of sustainability from a different point of view than that generally found in the literature. If sustainability is defined as the requirement to keep something constant or at least non-decreasing throughout time, the choice of the thing to be preserved is controversial. Neo-classical models mainly assume that sustainability requires that consumption or a utility level has to be preserved. In this paper, we object to this a priori conception of sustainability and define all the quantities that can be preserved in neo-classical optimal growth models. We thus wonder if invariant quantities can be found along the optimal paths defined by a 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 there is such invariance and how it could be interpreted as a sustainability indicator. We emphasize the limits of the economic growth theory for coping with the sustainability issue.
机译：本文从与文献中普遍存在的观点不同的角度分析了可持续性的一般概念。如果将可持续性定义为在一段时间内保持某种事物不变或至少不减少的要求，那么选择要保存的事物就会引起争议。新古典主义模型主要假设可持续性要求必须保持消耗量或公用事业水平。在本文中，我们反对这种关于可持续性的先验概念，并定义了可以在新古典最优增长模型中保留的所有数量。因此，我们想知道是否可以沿着由资源枯竭的经济经典表示所定义的最优路径找到不变数量。我们使用Noether定理来确定动力系统的守恒定律。我们研究了在哪些条件下存在这种不变性，以及如何将其解释为可持续性指标。我们强调经济增长理论在应对可持续性问题方面的局限性。

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