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2019 | OriginalPaper | Buchkapitel

19. Samuelson’s Contributions to Population Theory and Overlapping Generations in Economics

verfasst von : Ronald Lee

Erschienen in: Paul Samuelson

Verlag: Palgrave Macmillan UK

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Abstract

Paul Samuelson made a series of important contributions to population theory for humans and other species, evolutionary theory, and the theory of age-structured life cycles in economic equilibrium and growth. The work is highly abstract but much of it was intended to illuminate issues of compelling policy importance, such as declining fertility and population aging. While his work in population economics has been very influential, his work in population and evolution appears to have been largely overlooked, perhaps because he seldom published in demographic journals or went to population meetings. Here, I discuss his many contributions in all these areas, but give particular attention to demographic aspects of his famous work on overlapping generation models, social security systems, and population growth.

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Fußnoten
1
I myself had published a very similar analysis in Lee (1974), which Samuelson generously acknowledged but learned about too late to take into account in his own analysis, for the most part.
 
2
These data come from the National Transfer Accounts project (Lee and Mason et al. 2011), which was inspired in part by Samuelson (1958). Using a mathematical framework much like that presented in this chapter, the project estimates age profiles of consumption, labor income, saving, asset income, and public and private transfers by age for about 80 countries. There are research teams in 55 countries in Europe, Asia, Africa, Latin America, North America, and Oceania making these estimates according to a strict methodology set out in a manual published by the United Nations Population Division (2013). The project Web site, where much of this data can be found, is www.​ntaccounts.​org.
 
Literatur
Zurück zum Zitat Arthur, B.W. and G. McNicoll (1978) “Samuelson, Population and Intergenerational Transfers,” International Economic Review, 19: 241–246.CrossRef Arthur, B.W. and G. McNicoll (1978) “Samuelson, Population and Intergenerational Transfers,” International Economic Review, 19: 241–246.CrossRef
Zurück zum Zitat Barton, N.H. and A.M. Etheridge (2011) “The Relation Between Reproductive Value and Genetic Contribution,” Genetics, 188: 953–973.CrossRef Barton, N.H. and A.M. Etheridge (2011) “The Relation Between Reproductive Value and Genetic Contribution,” Genetics, 188: 953–973.CrossRef
Zurück zum Zitat Becker, G.S. (1960) “An Economic Analysis of Fertility,” Demographic and Economic Change in Developed Countries. Princeton, National Bureau of Economic Research: 209–231. Becker, G.S. (1960) “An Economic Analysis of Fertility,” Demographic and Economic Change in Developed Countries. Princeton, National Bureau of Economic Research: 209–231.
Zurück zum Zitat Becker, G.S. (1981) A Treatise on the Family. Cambridge, MA, Harvard University Press. Becker, G.S. (1981) A Treatise on the Family. Cambridge, MA, Harvard University Press.
Zurück zum Zitat Becker, G.S. and H. Gregg Lewis (1973) “On the Interaction Between the Quantity and Quality of Children,” Journal of Political Economy, 81: S279–S288.CrossRef Becker, G.S. and H. Gregg Lewis (1973) “On the Interaction Between the Quantity and Quality of Children,” Journal of Political Economy, 81: S279–S288.CrossRef
Zurück zum Zitat Bommier, A. and R. Lee (2003) “Overlapping Generations Models with Realistic Demography,” Journal of Population Economics, 16: 135–160.CrossRef Bommier, A. and R. Lee (2003) “Overlapping Generations Models with Realistic Demography,” Journal of Population Economics, 16: 135–160.CrossRef
Zurück zum Zitat Deardorff, A.V. (1976) “The Optimum Growth Rate for Population: Comment,” International Economic Review, 17: 510–515.CrossRef Deardorff, A.V. (1976) “The Optimum Growth Rate for Population: Comment,” International Economic Review, 17: 510–515.CrossRef
Zurück zum Zitat Diamond, P.A. (1965) “National Debt in a Neoclassical Growth Model,” American Economic Review, 55: 1126–1150. Diamond, P.A. (1965) “National Debt in a Neoclassical Growth Model,” American Economic Review, 55: 1126–1150.
Zurück zum Zitat Dixit, A. (2012) “Paul Samuelson’s Legacy,” Annual Reviews of Economics, 4: 1–31. Dixit, A. (2012) “Paul Samuelson’s Legacy,” Annual Reviews of Economics, 4: 1–31.
Zurück zum Zitat Easterlin, R.A. (1968) Population, Labor Force, and Long Swings in Economic Growth: The American Experience. New York, Columbia University Press. Easterlin, R.A. (1968) Population, Labor Force, and Long Swings in Economic Growth: The American Experience. New York, Columbia University Press.
Zurück zum Zitat Fisher, R.A. (1930) The Genetical Theory of Natural Selection. Oxford, Clarendon Press.CrossRef Fisher, R.A. (1930) The Genetical Theory of Natural Selection. Oxford, Clarendon Press.CrossRef
Zurück zum Zitat Gale, D. (1973) “Pure Exchange Equilibrium of Dynamic Economic Models,” Journal of Economic Theory, 6: 12–36.CrossRef Gale, D. (1973) “Pure Exchange Equilibrium of Dynamic Economic Models,” Journal of Economic Theory, 6: 12–36.CrossRef
Zurück zum Zitat Howell, N. (2010) Life Histories of the Dobe !Kung. Berkeley, University of California Press. Howell, N. (2010) Life Histories of the Dobe !Kung. Berkeley, University of California Press.
Zurück zum Zitat Kaplan, H. (1994) “Evolutionary and Wealth Flows Theories of Fertility: Empirical Tests and New Models,” Population and Development Review, 20: 753–791.CrossRef Kaplan, H. (1994) “Evolutionary and Wealth Flows Theories of Fertility: Empirical Tests and New Models,” Population and Development Review, 20: 753–791.CrossRef
Zurück zum Zitat Lee, R. (1974) “The Formal Dynamics of Controlled Populations and the Echo, the Boom and the Bust,” Demography, 11: 563–585.CrossRef Lee, R. (1974) “The Formal Dynamics of Controlled Populations and the Echo, the Boom and the Bust,” Demography, 11: 563–585.CrossRef
Zurück zum Zitat Lee, R. (1985) “Inverse Projection and Back Projection: Comparative Results and Sensitivity Tests for England,” Population Studies, 39: 233–248.CrossRef Lee, R. (1985) “Inverse Projection and Back Projection: Comparative Results and Sensitivity Tests for England,” Population Studies, 39: 233–248.CrossRef
Zurück zum Zitat Lee, R. (1993) “Inverse Projection and Demographic Fluctuations: A Critical Assessment of New Methods,” in D. Reher and R. Schofield (eds.) Old and New Methods in Historical Demography. Oxford, Oxford University Press: 7–28. Lee, R. (1993) “Inverse Projection and Demographic Fluctuations: A Critical Assessment of New Methods,” in D. Reher and R. Schofield (eds.) Old and New Methods in Historical Demography. Oxford, Oxford University Press: 7–28.
Zurück zum Zitat Lee, R. (1994) “The Formal Demography of Population Aging, Transfers, and the Economic Life Cycle,” in L. Martin and S. Preston (eds.) The Demography of Aging. Washington, DC, National Academies Press: 8–49. Lee, R. (1994) “The Formal Demography of Population Aging, Transfers, and the Economic Life Cycle,” in L. Martin and S. Preston (eds.) The Demography of Aging. Washington, DC, National Academies Press: 8–49.
Zurück zum Zitat Lee, R. and A. Mason et al. (2011) Population Aging and the Generational Economy: A Global Perspective. Cheltenham, UK and Northampton, MA, USA, Edward Elgar.CrossRef Lee, R. and A. Mason et al. (2011) Population Aging and the Generational Economy: A Global Perspective. Cheltenham, UK and Northampton, MA, USA, Edward Elgar.CrossRef
Zurück zum Zitat Lee, R. and A. Mason, et al. (2014) “Is Low Fertility Really a Problem? Population Aging, Dependency, and Consumption,” Science, 346: 229–234.CrossRef Lee, R. and A. Mason, et al. (2014) “Is Low Fertility Really a Problem? Population Aging, Dependency, and Consumption,” Science, 346: 229–234.CrossRef
Zurück zum Zitat Pollak, R.A. (1986) “A Reformulation of the Two-Sex Problem,” Demography, 23: 247–259.CrossRef Pollak, R.A. (1986) “A Reformulation of the Two-Sex Problem,” Demography, 23: 247–259.CrossRef
Zurück zum Zitat Pollak, R.A. (1990) “Two-Sex Demographic Models,” Journal of Political Economy, 98: 399–420.CrossRef Pollak, R.A. (1990) “Two-Sex Demographic Models,” Journal of Political Economy, 98: 399–420.CrossRef
Zurück zum Zitat Samuelson, P.A. (1947) Foundations of Economic Analysis. Cambridge, MA, Harvard University Press. Samuelson, P.A. (1947) Foundations of Economic Analysis. Cambridge, MA, Harvard University Press.
Zurück zum Zitat Samuelson, P.A. (1958) “An Exact Consumption-Loan Model of Interest with or Without the Social Contrivance of Money,” Journal of Political Economy, 66: 467–482.CrossRef Samuelson, P.A. (1958) “An Exact Consumption-Loan Model of Interest with or Without the Social Contrivance of Money,” Journal of Political Economy, 66: 467–482.CrossRef
Zurück zum Zitat Samuelson, P.A. (1971) “Generalized Predator-Prey Oscillations in Ecological and Economic Equilibrium,” Proceedings of the National Academy of Sciences USA, 68: 980–983.CrossRef Samuelson, P.A. (1971) “Generalized Predator-Prey Oscillations in Ecological and Economic Equilibrium,” Proceedings of the National Academy of Sciences USA, 68: 980–983.CrossRef
Zurück zum Zitat Samuelson, P.A. (1974) “Generalizing Fisher’s “Reproductive Value”: Nonlinear, Homogeneous, Biparental Systems,” Proceedings of the National Academy of Sciences USA, 74: 5772–5775.CrossRef Samuelson, P.A. (1974) “Generalizing Fisher’s “Reproductive Value”: Nonlinear, Homogeneous, Biparental Systems,” Proceedings of the National Academy of Sciences USA, 74: 5772–5775.CrossRef
Zurück zum Zitat Samuelson, P.A. (1975a) “The Optimum Growth Rate for Population,”International Economic Review, 16: 531–538.CrossRef Samuelson, P.A. (1975a) “The Optimum Growth Rate for Population,”International Economic Review, 16: 531–538.CrossRef
Zurück zum Zitat Samuelson, P.A. (1975b) “Optimum Social Security in a Life-Cycle Growth Model,” International Economic Review, 16: 539–544.CrossRef Samuelson, P.A. (1975b) “Optimum Social Security in a Life-Cycle Growth Model,” International Economic Review, 16: 539–544.CrossRef
Zurück zum Zitat Samuelson, P.A. (1976a) “An Economist’s Non-linear Model of Self-Generated Fertility Waves,” Population Studies, 30: 243–247.CrossRef Samuelson, P.A. (1976a) “An Economist’s Non-linear Model of Self-Generated Fertility Waves,” Population Studies, 30: 243–247.CrossRef
Zurück zum Zitat Samuelson, P.A. (1976b) “Time Symmetry and Asymmetry in Population and Deterministic Dynamic Systems,” Theoretical Population Biology, 9: 82–122.CrossRef Samuelson, P.A. (1976b) “Time Symmetry and Asymmetry in Population and Deterministic Dynamic Systems,” Theoretical Population Biology, 9: 82–122.CrossRef
Zurück zum Zitat Samuelson, P.A. (1976c) “The Optimum Growth Rate for Population: Agreement and Evaluations,” International Economic Review, 17: 516–525.CrossRef Samuelson, P.A. (1976c) “The Optimum Growth Rate for Population: Agreement and Evaluations,” International Economic Review, 17: 516–525.CrossRef
Zurück zum Zitat Samuelson, P.A. (1977a) “Generalizing Fisher’s ‘Reproductive Value’: Linear Differential and Difference Equations of ‘Dilute’ Biological Systems,” Proceedings of the National Academy of Sciences USA, 74: 5189–5192.CrossRef Samuelson, P.A. (1977a) “Generalizing Fisher’s ‘Reproductive Value’: Linear Differential and Difference Equations of ‘Dilute’ Biological Systems,” Proceedings of the National Academy of Sciences USA, 74: 5189–5192.CrossRef
Zurück zum Zitat Samuelson, P.A. (1977b) “Generalizing Fisher’s ‘Reproductive Value’: Nonlinear, Homogeneous, Biparental Systems,” Proceedings of the National Academy of Sciences USA, 74: 5772–5775.CrossRef Samuelson, P.A. (1977b) “Generalizing Fisher’s ‘Reproductive Value’: Nonlinear, Homogeneous, Biparental Systems,” Proceedings of the National Academy of Sciences USA, 74: 5772–5775.CrossRef
Zurück zum Zitat Samuelson, P.A. (1978a) “Generalizing Fisher’s ‘Reproductive Value’: Incipient and Penultimate Reproductive Value Functions when Environment Limits Growth; Linear Approximants for Nonlinear Mendelian Mating Models,” Proceedings of the National Academy of Sciences USA, 75: 6327–6331.CrossRef Samuelson, P.A. (1978a) “Generalizing Fisher’s ‘Reproductive Value’: Incipient and Penultimate Reproductive Value Functions when Environment Limits Growth; Linear Approximants for Nonlinear Mendelian Mating Models,” Proceedings of the National Academy of Sciences USA, 75: 6327–6331.CrossRef
Zurück zum Zitat Samuelson, P.A. (1978b) “Generalizing Fisher’s ‘Reproductive Value’: Overlapping and Nonoverlapping Generations with Competing Genotypes,” Proceedings of the National Academy of Sciences USA,75: 4062–4066.CrossRef Samuelson, P.A. (1978b) “Generalizing Fisher’s ‘Reproductive Value’: Overlapping and Nonoverlapping Generations with Competing Genotypes,” Proceedings of the National Academy of Sciences USA,75: 4062–4066.CrossRef
Zurück zum Zitat Samuelson, P.A. (1980) “Fisher’s ‘Reproductive Value’ as an Economic Specimen in Merton’s Zoo,” Transactions of the New York Academy of Sciences, 39: 126–142.CrossRef Samuelson, P.A. (1980) “Fisher’s ‘Reproductive Value’ as an Economic Specimen in Merton’s Zoo,” Transactions of the New York Academy of Sciences, 39: 126–142.CrossRef
Zurück zum Zitat Samuelson, P.A. (1985) “Modes of Thought in Economics and Biology,” American Economic Review, 75: 166–172. Samuelson, P.A. (1985) “Modes of Thought in Economics and Biology,” American Economic Review, 75: 166–172.
Zurück zum Zitat United Nations Population Division (2013) National Transfer Accounts Manual: Measuring and Analyzing the Generational Economy. New York, United Nations. United Nations Population Division (2013) National Transfer Accounts Manual: Measuring and Analyzing the Generational Economy. New York, United Nations.
Zurück zum Zitat Vaupel, J., E. Barbi, S. Bertino, and E. Sonnio (eds.) (2004) Inverse Projection Techniques: Old and New Approaches. Berlin, Springer-Verlag. Vaupel, J., E. Barbi, S. Bertino, and E. Sonnio (eds.) (2004) Inverse Projection Techniques: Old and New Approaches. Berlin, Springer-Verlag.
Zurück zum Zitat Willis, R. (1973) “A New Approach to the Economic Theory of Fertility Behavior,” Journal of Political Economy, 81: S14–S64.CrossRef Willis, R. (1973) “A New Approach to the Economic Theory of Fertility Behavior,” Journal of Political Economy, 81: S14–S64.CrossRef
Zurück zum Zitat Willis, R. (1988) “Life Cycles, Institutions and Population Growth: A Theory of the Equilibrium Interest Rate in an Overlapping-Generations Model,” in R. Lee, W.B. Arthur and G. Rodgers (eds.) Economics of Changing Age Distributions in Developed Countries. Oxford, Oxford University Press: 106–138. Willis, R. (1988) “Life Cycles, Institutions and Population Growth: A Theory of the Equilibrium Interest Rate in an Overlapping-Generations Model,” in R. Lee, W.B. Arthur and G. Rodgers (eds.) Economics of Changing Age Distributions in Developed Countries. Oxford, Oxford University Press: 106–138.
Zurück zum Zitat Wrigley, E.A. and R. Schofield (1981) The Population History of England 1541–1871: A Reconstruction. London, Edward Arnold. Wrigley, E.A. and R. Schofield (1981) The Population History of England 1541–1871: A Reconstruction. London, Edward Arnold.
Zurück zum Zitat Yellin, J. and P.A. Samuelson (1974) “A Dynamical Model for Human Population,” Proceedings of the National Academy of Sciences USA, 71: 2813–2817.CrossRef Yellin, J. and P.A. Samuelson (1974) “A Dynamical Model for Human Population,” Proceedings of the National Academy of Sciences USA, 71: 2813–2817.CrossRef
Zurück zum Zitat Yellin, J. and P.A. Samuelson (1977) “Comparison of Linear and Nonlinear Models for Human Population Dynamics,”Theoretical Population, 11: 105–126.CrossRef Yellin, J. and P.A. Samuelson (1977) “Comparison of Linear and Nonlinear Models for Human Population Dynamics,”Theoretical Population, 11: 105–126.CrossRef
Metadaten
Titel
Samuelson’s Contributions to Population Theory and Overlapping Generations in Economics
verfasst von
Ronald Lee
Copyright-Jahr
2019
DOI
https://doi.org/10.1057/978-1-137-56812-0_19