Abstract
This chapter provides a brief review of the theory of optimal savings by Frank Ramsey. He asked how much a nation should save or consume the goods and services produced by the nation if it were to manage its economy in a socially optimal manner over time. Introducing a social utility function, he concluded that the rate of saving multiplied by the marginal utility of money should always be equal to the difference between the total social utility and the maximum possible utility. The model relied on the assumption of a constant population as well as a constant technology. He also vehemently argued for a zero social discounting of future consumptions.
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References
Arrow, K.J., W. Cline, K.G. Maler, M. Munasinghe, R. Squitieri, and J. Stiglitz. 1996. Intertemporal Equity, Discounting, and Economic Efficiency. In Climate Change 1995: Economic and Social Dimensions of Climate Change, Intergovernmental Panel on Climate Change, ed. J.P. Bruce, H. Lee, and E.F. Haites. Cambridge, UK: Cambridge University Press.
Broome, J. 1994. Discounting the Future. Philosophy & Public Affairs 23: 128–156.
Faustmann, Martin. 1849. On the Determination of the Value which Forest Land and Immature Stands Pose for Forestry. In Martin Faustmann and the Evolution of Discounted Cash Flow, ed. M. Gane. Paper 42. Oxford, England: Oxford Institute; 1968. 54 pp.
Fisher, Irving. 1906. The Nature of Capital and Income. New York, NY: Macmillan.
———. 1930. The Theory of Interest. New York, NY: Macmillan.
Gottlieb, A. 2020. The Man Who Thought Too Fast. New Yorker. May 2020 Issue. https://www.newyorker.com/magazine/2020/05/04/the-man-who-thought-too-fast.
Hope, C. 2006. The Marginal Impact of CO2 from PAGE2002: An Integrated Assessment Model Incorporating the IPCC’s Five Reasons for Concern. Integrated Assessment Journal 6: 19–56.
Hotelling, H. 1931. The Economics of Exhaustible Resources. Journal of Political Economy 39: 137–175.
Inagaki, M. 1963. The Golden Utility Path. Rotterdam, NL: Netherlands Economics Institute.
International Institute of Applied Systems Analysis (IIASA). 2007. Probabilistic Projections by 13 World Regions, Forecast Period 2000–2100, 2001 Revision. http://www.iiasa.ac.at/Research/POP/proj01/.
Kantorovich, Leonid V. 1939. Mathematical Methods of Organizing and Planning Production. Management Science 6: 366–422.
Karp, L. 2004. Global Warming and Hyperbolic Discounting. CUDARE Working Papers, #934, The University of California, Berkeley.
Koopmans, Tjalling C. 1949. Optimum Utilization of the Transportation System. Proceedings of the International Statistical Conference 5: 136–145.
———., ed. 1951. Activity Analysis of Production and Allocation. New York, NY: Wiley.
———. 1963. On the Concept of Optimal Economic Growth. The Cowles Foundation Discussion Paper # 163, Yale University, New Haven, CT.
———. 1965. On the Concept of Optimal Economic Growth. Pontificiae Academiae Scientiarum Scripta Varia 28 (1): 1–75.
Lutz, W., W. Butz, and K.C. Samir, eds. 2014. World Population and Global Human Capital in the 21st Century. Oxford, UK: Oxford University Press.
Newell, R., and W. Pizer. 2001. Discounting the Benefits of Climate Change Mitigation: How Much Do Uncertain Rates Increase Valuations? Washington, DC: The Pew Center.
Nordhaus, W.D. 1991. To Slow or Not to Slow: The Economics of the Greenhouse Effects. Economic Journal 101: 920–937.
———. 1994. Managing the Global Commons. Cambridge, MA: MIT Press.
———. 2007. A Review of the Stern Review on the Economics of Climate Change. Journal of Economic Literature 55: 686–702.
Ramsey, F.P. 1928. A Mathematical Theory of Savings. Economic Journal 38: 543–559.
Seo, S.N. 2020. The Economics of Globally Shared and Public Goods. Amsterdam, NL: Academic Press.
———. 2021. Climate Change and Economics: Engaging with Future Generations with Action Plans. London, UK: Palgrave Macmillan.
Shiller, R. 2019. Online Data for Rebert Shiller. New Haven, CT: Yale University. http://www.econ.yale.edu/Bshiller/data.htm.
Solow, Robert M. 1957. A Contribution to the Theory of Economic Growth. Quarterly Journal of Economics 70: 65–94.
Stern, N. 2007. The Economics of Climate Change: The Stern Review. New York, NY: Cambridge University Press.
Tinbergen, J. 1960. Optimum Savings and Utility Maximization Over Time. Econometrica 28: 481–489.
Weitzman, M.L. 1998. Why the Far-distant Future Should be Discounted at Its Lowest Possible Rate. Journal of Environmental Economics and Management 36: 201–208.
———. 2007. A Review of the Stern Review on the Economics of Climate Change. Journal of Economic Literature 45: 703–724.
———. 2009. On Modeling and Interpreting the Economics of Catastrophic Climate Change. Review of Economics and Statistics 91: 1–19.
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Seo, S.N. (2023). Frank Ramsey’s Optimal Savings. In: The Economics of Optimal Growth Pathways. Palgrave Macmillan, Cham. https://doi.org/10.1007/978-3-031-20754-9_8
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DOI: https://doi.org/10.1007/978-3-031-20754-9_8
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