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Almost “very strong” multilane turnpike effect in a non-stationary Gale economy with a temporary von Neumann equilibrium and price constraints

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  • Panek Emil

    (University of Zielona Góra, Institute of Economics and Finance, ul. Podgórna 50, 65-246Zielona Góra, Poland)

Abstract

Mathematical models of economic dynamics and growth are usually expressed in terms of differential equations/inclusions (in the case of continuous time) or difference equations/inclusions (if discrete time is assumed).3 This class of models includes von Neumann-Leontief-Gale type dynamic input-output models to which the paper refers. The paper focuses on the turnpike stability of optimal growth processes in a Gale non-stationary economy with discrete time in the neighbourhood of von Neumann dynamic equilibrium states (so-called growth equilibrium). The paper refers to Panek (2019, 2020) and shows an intermediate result between the strong and very strong turnpike theorem in the non-stationary Gale economy with changing technology assuming that the prices of temporary equilibrium in such an economy (so-called von Neumann prices) do not change rapidly. The aim of the paper is to bring mathematical proof that the introduction of these assumptions making the model more realistic does not change its asymptotic (turnpike-like) properties.

Suggested Citation

  • Panek Emil, 2020. "Almost “very strong” multilane turnpike effect in a non-stationary Gale economy with a temporary von Neumann equilibrium and price constraints," Economics and Business Review, Sciendo, vol. 6(2), pages 66-80, June.
    • Handle: RePEc:vrs:ecobur:v:6:y:2020:i:2:p:66-80:n:5
    DOI: 10.18559/ebr.2020.2.5
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    References listed on IDEAS

    as
    1. K. J. Arrow & M.D. Intriligator (ed.), 2005. "Handbook of Mathematical Economics," Handbook of Mathematical Economics, Elsevier, edition 2, volume 3, number 3.
    2. McKenzie, Lionel W., 2005. "Optimal economic growth, turnpike theorems and comparative dynamics," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 2, volume 3, chapter 26, pages 1281-1355, Elsevier.
    3. Roy Radner, 1961. "Prices and the Turnpike: III. Paths of Economic Growth that are Optimal with Regard only to Final States: A Turnpike Theorem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 28(2), pages 98-104.
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    More about this item

    Keywords

    non-stationary Gale economy; temporary von Neumann equilibrium; multilane production turnpike;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C67 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Input-Output Models
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • O49 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Other

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