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Ramsey’s Conjecture in a Stochastically Growing Economy

  • Tamotsu NakamuraEmail author
Chapter

Abstract

Becker (1980) confirms Ramsey’s conjecture (Ramsey 1928) in a discrete-time model by proving that the most patient individuals own the entire capital of the economy, while others consume their wage income in the long-run.

Notes

Acknowledgements

The author would like to thank Professors Kentaro Iwatsubo, Tetsugen Haruyama, Daishin Yasui and seminar participants at the Kobe University. The financial support of Grants-in-Aid for Scientific Research from the Japan Society for the Promotion of Science (15K03431 and 17K18564) is gratefully acknowledged. The usual disclaimer applies.

References

  1. Becker, R.A. 1980. On the long-run steady state in a simple dynamic model of equilibrium with heterogeneous households. Quarterly Journal of Econonomics 95 (2): 375–82.CrossRefGoogle Scholar
  2. Becker, R.A., and I. Zilcha. 1997. Stationary Ramsey equilibria under uncertainty. Journal of Economic Theory 75: 122–140.CrossRefGoogle Scholar
  3. Boyd III, J.H., 2000. Sustained growth with heterogeneous households, International Florida University. http://faculty.fiu.edu/~boydj/papers/growth.pdf.
  4. Duffie, D., and L.G. Epstein. 1992. Stochastic differential utility. Econometrica 60 (2): 353–94.CrossRefGoogle Scholar
  5. Epstein, L.G., and S.E. Zin. 1989. Substitution, risk aversion, and the temporal behavior of consumption and asset returns: a theoretical framework. Econometrica 57: 937–969.CrossRefGoogle Scholar
  6. Epstein, L.G., and S.E. Zin. 1991. Substitution, risk aversion, and the temporal behavior of consumption and asset returns: an empirical analysis. Journal of Political Economy 99: 263–286.CrossRefGoogle Scholar
  7. Kreps, D.M., and E.L. Porteus. 1978. Temporal resolution of uncertainty and dynamic choice theory. Econometrica 46: 185–200.CrossRefGoogle Scholar
  8. Kreps, D.M., and E.L. Porteus. 1979. Dynamic choice theory and dynamic programming. Econometrica 47: 91–100.CrossRefGoogle Scholar
  9. Mitra, T., and G. Sorger. 2013. On Ramsey’s conjecture. Journal of Economic Theory 148 (5): 1953–1976.CrossRefGoogle Scholar
  10. Nakamura, T. 2014. On Ramsey’s conjecture with AK technology. Economics Bulletin 34 (2): 875–884.Google Scholar
  11. Obstfeld, M. 1994a. Evaluating risky consumption paths: the role of inter temporal substitutability. European Economic Review 38: 1471–1486.CrossRefGoogle Scholar
  12. Obstfeld, M. 1994b. Risk-taking, global diversification, and growth. American Economic Review 84: 1310–1329.Google Scholar
  13. Ramsey, F.P. 1928. A mathematical theory of saving. Economic Journal 38: 543–559.CrossRefGoogle Scholar
  14. Weil, Philippe. 1989. The equity puzzle and the risk-free puzzle. Journal of Monetary Economics 24: 401–421.CrossRefGoogle Scholar
  15. Smith, W.T. 1996a. Feasibility and transversality conditions for models of portfolio choice with non-expected utility in continuous time. Economics Letters 53 (2): 123–31.CrossRefGoogle Scholar
  16. Smith, W.T. 1996b. Taxes, uncertainty, and long-term growth. European Economic Review 40 (8): 1647–64.CrossRefGoogle Scholar
  17. Stokey, N., and R.E. Lucas Jr. 1989. Recursive methods in economic dynamics. Harvard University Press.Google Scholar

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© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Kobe UniversityKobeJapan

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