Endogenous Social Discount Rate, Proportional Carbon Tax, and Sustainability

Date of This Version

July 2011

Abstract

Whether discounting the utility of future generations can pose a very serious problem in that future generations will never possess the opportunity to express their preference concerning the current resource allocation, which will ultimately affect their utility. In this paper, we tackle the abovementioned problem in the context of global warming, which is crucially connected with the emission and accumulation of $CO_2$. We analyze how the social optimum is attained under the constraint of sustainability proposed by Pezzey (1997). We find the following relationship between the optimal policies: the condition that utility should not be discounted attains the optimal allocation in social planning. And it corresponds to adopting the socially optimal carbon tax rate in a decentralized economy.

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