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Stability of price and quantity to a long-run equilibrium: a dynamic Leontief model with bounded rationality

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  • Yangyuzi Wang

    (Tohoku University)

Abstract

The notorious ‘dual stability’ paradox is stated as follows: in a closed dynamic Leontief model, when the quantity system is relatively stable, its corresponding price system will be unstable, and vice versa. This paradox arises from the neoclassical assumptions of full utilization of capacity and perfect foresight, which have caused serious complications in the dynamic Leontief model. In this study, we aim to construct a dynamic input–output model within an evolutionary framework, departing from neoclassical assumptions. Two new assumptions are introduced: incomplete utilization of capital stocks and bounded rationality in decision-making. Our findings reveal that the ‘dual stability’ paradox of the quantity and price systems can be addressed by including these two assumptions, and some special conditions are proposed for the stability properties in both the systems. Furthermore, we prove that the distance between the time paths and equilibrium position converges to a constant, which is related to the initial position.

Suggested Citation

  • Yangyuzi Wang, 2024. "Stability of price and quantity to a long-run equilibrium: a dynamic Leontief model with bounded rationality," Evolutionary and Institutional Economics Review, Springer, vol. 21(2), pages 349-372, September.
    • Handle: RePEc:spr:eaiere:v:21:y:2024:i:2:d:10.1007_s40844-024-00282-2
    DOI: 10.1007/s40844-024-00282-2
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    References listed on IDEAS

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    1. Zaghini, Enrico, 1991. "Prices and Production Levels in the Closed Dynamic Input-Output System," The Manchester School of Economic & Social Studies, University of Manchester, vol. 59(3), pages 274-294, September.
    2. Zaghini, Enrico, 1971. "Solow Prices and the Dual Stability Paradox in the Leontief Dynamic System," Econometrica, Econometric Society, vol. 39(3), pages 625-632, May.
    3. Filippini, Luigi, 1983. "Price and quantity adjustment in a dynamic closed model: The dual stability theorem," Journal of Macroeconomics, Elsevier, vol. 5(2), pages 185-196.
    4. Masahiko Aoki, 1977. "Dual Stability in a Cambridge-type Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(1), pages 143-151.
    5. Takayama,Akira, 1985. "Mathematical Economics," Cambridge Books, Cambridge University Press, number 9780521314985, November.
    6. George William Evans, 2001. "Expectations in Macroeconomics Adaptive versus Eductive Learning," Revue économique, Presses de Sciences-Po, vol. 52(3), pages 573-582.
    7. Harry Bloch, 2022. "The language of pluralism from the history of the theory of price determination: Natural price, equilibrium price and administered price," Metroeconomica, Wiley Blackwell, vol. 73(4), pages 1094-1111, November.
    8. Zaghini, Enrico, 1971. "Solow Prices and the Dual Stability Paradox in the Leontief Dynamic System: A Reply," Econometrica, Econometric Society, vol. 39(3), pages 634-634, May.
    9. Dumenil, Gerard & Levy, Dominique, 1987. "The Dynamics of Competition: A Restoration of the Classical Analysis," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 11(2), pages 133-164, June.
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    More about this item

    Keywords

    Dynamic Leontief model; Fixed capital; Dual stability; Multi-sectoral model; Bounded rationality;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • B5 - Schools of Economic Thought and Methodology - - Current Heterodox Approaches
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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