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Some Basic Mathematical Properties on the von Neumann Growth Model: A Didactic Note

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  • Giorgio Giorgi

    (University of Pavia)

  • Christian Bidard

    (University of Paris X-Nanterre- France)

Abstract

We give a survey of the main mathematical properties concerning the classical von Neumann growth model, properties often scattered in several papers and books and not always proved in a fully correct way. Hence, the present note may have some didactic utility.

Suggested Citation

  • Giorgio Giorgi & Christian Bidard, 2025. "Some Basic Mathematical Properties on the von Neumann Growth Model: A Didactic Note," DEM Working Papers Series 227, University of Pavia, Department of Economics and Management.
    • Handle: RePEc:pav:demwpp:demwp0227
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    File URL: https://economiaemanagement.dip.unipv.it/sites/dip10/files/2025-03/DEMWP0227.pdf
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    References listed on IDEAS

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    1. Leonhard Bauer, 1975. "Extensions and reductions in the von neumann model of an expanding economy," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 22(3), pages 517-541, September.
    2. D. Glycopantis, 1970. "The Closed Linear Model of Production: A Note," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 37(2), pages 295-297.
    3. Morishima, Michio, 1969. "Theory of Economic Growth," OUP Catalogue, Oxford University Press, number 9780198281641.
    4. Yinyu Ye, 1995. "On the Von Neumann Economic Growth Problem," Mathematics of Operations Research, INFORMS, vol. 20(3), pages 617-633, August.
    5. Schefold, Bertram, 1980. "Von Neumann and Sraffa: Mathematical Equivalence and Conceptual Difference," Economic Journal, Royal Economic Society, vol. 90(357), pages 140-156, March.
    6. Bose, Deb Kumar & Bose, Sanjit, 1972. "An Algorithm for Computing the von Neumann Balanced Growth Path," Econometrica, Econometric Society, vol. 40(4), pages 763-766, July.
    7. M. Morishima, 1961. "Prices and the Turnpike: II. Proof of a Turnpike Theorem: The "No Joint Production" Case," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 28(2), pages 89-97.
    8. Bidard, Christian & Hosoda, Eiji, 1987. "On Consumption Baskets in a Generalized von Neumann Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(2), pages 509-519, June.
    9. Weil, Roman L, 1970. "Solutions to the Decomposable von Neumann Model," Econometrica, Econometric Society, vol. 38(2), pages 276-280, March.
    10. József Móczár, 1997. "Non-uniqueness Through Duality in the Von Neumann Growth Models," Metroeconomica, Wiley Blackwell, vol. 48(3), pages 280-299, October.
    11. József Móczár, 1995. "Reducible Von Neumann Models And Uniqueness," Metroeconomica, Wiley Blackwell, vol. 46(1), pages 1-15, February.
    12. Roemer, John E., 1980. "Innovation, rates of profit, and uniqueness of von Neumann prices," Journal of Economic Theory, Elsevier, vol. 22(3), pages 451-464, June.
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    Cited by:

    1. Giorgio Giorgi, 2025. "Some Mathematical Issues on Linear Joint Production Models," DEM Working Papers Series 232, University of Pavia, Department of Economics and Management.

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