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A Complete Capital Model Involving Heterogeneous Capital Goods

Author

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  • Paul A. Samuelson
  • Robert M. Solow

Abstract

I. Introduction and review, 537. — II. Many-goods model, 539. — III. Euler necessary conditions, 541. — IV. Case of satiated production, 544. — V. Physical analogy of small vibrations, 547. — VI. Case of utility satiation, 549. — VII. Practical computation, 553. — VIII. Hamiltonian formulation, 554. — IX. Pay-off in terms of initial state, 559. — X. Conclusion, 561.

Suggested Citation

  • Paul A. Samuelson & Robert M. Solow, 1956. "A Complete Capital Model Involving Heterogeneous Capital Goods," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(4), pages 537-562.
    • Handle: RePEc:oup:qjecon:v:70:y:1956:i:4:p:537-562.
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    Citations

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    Cited by:

    1. Albert Ando, 1964. "An Empirical Model of United States Economic Growth: An Exploratory Study in Applied Capital Theory," NBER Chapters, in: Models of Income Determination, pages 327-379, National Bureau of Economic Research, Inc.
    2. M. Khan & Alexander Zaslavski, 2007. "On a Uniform Turnpike of the Third Kind in the Robinson-Solow-Srinivasan Model," Journal of Economics, Springer, vol. 92(2), pages 137-166, October.
    3. Lee H. Endress & Sittidaj Pongkijvorasin & James Roumasset & Christopher Wada, 2013. "Intergenerational Equity with Individual Impatience in an OLG Model of Optimal and Sustainable Growth," Working Papers 2013-9, University of Hawaii Economic Research Organization, University of Hawaii at Manoa.
    4. Arnaud Z. Dragicevic, 2019. "Market Coordination Under Non-Equilibrium Dynamics," Networks and Spatial Economics, Springer, vol. 19(3), pages 697-715, September.
    5. Paul A. Samuelson, 1996. "On Collaboratin," The American Economist, Sage Publications, vol. 40(2), pages 16-21, October.
    6. M. Khan & Alexander Zaslavski, 2010. "On locally optimal programs in the Robinson–Solow–Srinivasan model," Journal of Economics, Springer, vol. 99(1), pages 65-92, February.
    7. Vassili Kolokoltsov & Wei Yang, 2012. "Turnpike Theorems for Markov Games," Dynamic Games and Applications, Springer, vol. 2(3), pages 294-312, September.
    8. Liuchun Deng & Minako Fujio & M. Ali Khan, 2023. "On optimal extinction in the matchbox two-sector model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(2), pages 445-494, August.
    9. Khan, M. Ali & Zaslavski, Alexander J., 2009. "On existence of optimal programs: The RSS model without concavity assumptions on felicities," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 624-633, September.
    10. Endress, Lee H. & Pongkijvorasin, Sittidaj & Roumasset, James & Wada, Christopher A., 2014. "Intergenerational equity with individual impatience in a model of optimal and sustainable growth," Resource and Energy Economics, Elsevier, vol. 36(2), pages 620-635.
    11. Khalifa, Sherif, 2013. "Undiscounted optimal growth with consumable capital and capital-intensive consumption goods," Mathematical Social Sciences, Elsevier, vol. 65(2), pages 118-135.
    12. Besime Fekri Ziberi & Donat Rexha & Xhemazie Ibraimi & Besnik Avdiaj, 2022. "Empirical Analysis of the Impact of Education on Economic Growth," Economies, MDPI, vol. 10(4), pages 1-10, April.
    13. T.N. Srinivasan, 1962. "On a Two Sector Model of Growth," Cowles Foundation Discussion Papers 139R, Cowles Foundation for Research in Economics, Yale University.
    14. Steinar Strøm & Jon Vislie, 2019. "Wealth Management and Uncertain Tipping Points," CESifo Working Paper Series 7487, CESifo.
    15. Fujio, Minako, 2008. "Undiscounted optimal growth in a Leontief two-sector model with circulating capital: The case of a capital-intensive consumption good," Journal of Economic Behavior & Organization, Elsevier, vol. 66(2), pages 420-436, May.
    16. Pedro Garcia Duarte, 2013. "A Path Through the Wilderness: Time Discounting in Growth Models," Working Papers, Department of Economics 2013_18, University of São Paulo (FEA-USP).
    17. Khalifa, Sherif, 2011. "Undiscounted optimal growth with consumable capital and labor-intensive consumption goods," Economic Modelling, Elsevier, vol. 28(4), pages 1673-1682, July.
    18. Lauwers, Luc, 1998. "Intertemporal objective functions: Strong pareto versus anonymity," Mathematical Social Sciences, Elsevier, vol. 35(1), pages 37-55, January.
    19. Lindenberger, Dietmar & Kümmel, Reiner, 2011. "Energy and the state of nations," Energy, Elsevier, vol. 36(10), pages 6010-6018.
    20. Glenn C. Loury, 1978. "The Optimal Exploitation of an Unknown Reserve," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(3), pages 621-636.
    21. Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
    22. Edmond S. Phelps, 1961. "The Accumulation of Risky Capital: A Discrete-Time Sequential Utility Analysis," Cowles Foundation Discussion Papers 109, Cowles Foundation for Research in Economics, Yale University.
    23. Liuchun Deng & Minako Fujio & M. Ali Khan, 2022. "On Sustainability and Survivability in the Matchbox Two-Sector Model: A Complete Characterization of Optimal Extinction," Papers 2202.02209, arXiv.org.
    24. Shuo Lu & Yong Zhou & Wei Song, 2021. "Uncoordinated urbanization and economic growth—The moderating role of natural resources," Growth and Change, Wiley Blackwell, vol. 52(4), pages 2071-2098, December.

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