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Two-Dimensional Constrained Chaos and Industrial Revolution Cycles with Mathemetical Appendices

Author

Listed:
  • Makoto Yano

    (Institute of Economic Reserch, Kyoto University and RIETI)

  • Yuichi Furukawa

    (Aichi University and RIETI)

Abstract

Between the 1760s and 1980s, we have experienced at least three industrial revolutions. We explain such cycles as ergodic chaos and relate it to the average long-run interest rate and intellectual property protection. Because innovation dynamics is intrinsically multi-dimensional, we need newly to develop a structural characterization of multi-dimensional ergodic chaos suitable for an economic analysis. Introducing such a characterization for the two-dimensional case, we show that if the monopolistic use of a new invention lasts eight years, an industrial-revolution-like burst of new technologies recurs about every one hundred years, given empirically reasonable values of the determinants of a long-run interest rate.

Suggested Citation

  • Makoto Yano & Yuichi Furukawa, 2021. "Two-Dimensional Constrained Chaos and Industrial Revolution Cycles with Mathemetical Appendices," KIER Working Papers 1057, Kyoto University, Institute of Economic Research.
    • Handle: RePEc:kyo:wpaper:1057
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    industrial revolutions; chaotic cycles; intellectual properties; market quality dynamics;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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