Abstract
The implications of uncertainty for appropriate discounting in models of economic growth have been studied at some length, notably, (Review of Economic Studies, 36:153–163; 1969) and (Journal of Public Economics, 85:149–166; 2002). A detailed account has now appeared in Journal of Risk and Uncertainty, 37:141–169; 2008, sections 4 and 5 (pp. 160–166). One interesting, if perhaps minor, aspect is that under certain circumstances, there appeared to be no solution or at least no satisfactory one. More importantly, the formulas are usually given for the log normal case and are somewhat complicated and hard to interpret intuitively. I show here that assuming a general distribution for returns to capital gives simpler and more understandable results.
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References
Bernoulli, D. (1738). Specimen theoriae novae de mensura sortis. Comentarii academiae scientiararum imperialis Petropolitanae, 5, 175–192; translated as, (1954). Exposition of a new theory on the measurement of risk, Econometrica, 22, 23–36.
Dasgupta, P. (2008). Discounting climate change. Journal of Risk and Uncertainty, 37, 141–169.
Gollier, C. (2002). Discounting an uncertain future. Journal of Public Economics, 85, 149–166.
Gollier, C. (2008). Discounting with fat-tailed economic growth. Journal of Risk and Uncertainty, 37, 171–186.
Levhari, D., & Srinivasan, T. N. (1969). Optimal savings under uncertainty. Review of Economic Studies, 36, 153–163.
Menger, K. (1934). Das Unsicherheitsmoment in der Wertlehre. Betrachtungen im Anschluss an das sogennante Petersburger Spiel. Zeitschrift für Nationalökonomie, 5, 459–485.
Rothschild, M., & Stiglitz, J. (1970). Increasing risk: I. Definition. Journal of Economic Theory, 2, 225–243.
Weitzman, M. L. (forthcoming). On models of interpreting the economics of catastrophic climate change. Review of Economics and Statistics.
Acknowledgment
Preparation of this study was made possible by a grant from the William and Flora Hewlett Foundation. I am indebted for many discussions with Partha Dasgupta on the role of uncertainty in climate change problems.
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Arrow, K.J. A note on uncertainty and discounting in models of economic growth. J Risk Uncertain 38, 87–94 (2009). https://doi.org/10.1007/s11166-009-9065-1
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DOI: https://doi.org/10.1007/s11166-009-9065-1