Skip to main content
Log in

A note on uncertainty and discounting in models of economic growth

  • Published:
Journal of Risk and Uncertainty Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

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.

    Google Scholar 

  • Dasgupta, P. (2008). Discounting climate change. Journal of Risk and Uncertainty, 37, 141–169.

    Article  Google Scholar 

  • Gollier, C. (2002). Discounting an uncertain future. Journal of Public Economics, 85, 149–166.

    Article  Google Scholar 

  • Gollier, C. (2008). Discounting with fat-tailed economic growth. Journal of Risk and Uncertainty, 37, 171–186.

    Article  Google Scholar 

  • Levhari, D., & Srinivasan, T. N. (1969). Optimal savings under uncertainty. Review of Economic Studies, 36, 153–163.

    Article  Google Scholar 

  • Menger, K. (1934). Das Unsicherheitsmoment in der Wertlehre. Betrachtungen im Anschluss an das sogennante Petersburger Spiel. Zeitschrift für Nationalökonomie, 5, 459–485.

    Article  Google Scholar 

  • Rothschild, M., & Stiglitz, J. (1970). Increasing risk: I. Definition. Journal of Economic Theory, 2, 225–243.

    Article  Google Scholar 

  • Weitzman, M. L. (forthcoming). On models of interpreting the economics of catastrophic climate change. Review of Economics and Statistics.

Download references

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.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kenneth J. Arrow.

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11166-009-9065-1

Keywords

JEL

Navigation