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The mechanism of double-exponential growth in hyper-inflation

Author

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  • Mizuno, T.
  • Takayasu, M.
  • Takayasu, H.

Abstract

Analyzing historical data of price indices, we find an extraordinary growth phenomenon in several examples of hyper-inflation in which, price changes are approximated nicely by double-exponential functions of time. In order to explain such behavior we introduce the general coarse-graining technique in physics, the Monte Carlo renormalization group method, to the price dynamics. Starting from a microscopic stochastic equation describing dealers’ actions in open markets, we obtain a macroscopic noiseless equation of price consistent with the observation. The effect of auto-catalytic shortening of characteristic time caused by mob psychology is shown to be responsible for the double-exponential behavior.

Suggested Citation

  • Mizuno, T. & Takayasu, M. & Takayasu, H., 2002. "The mechanism of double-exponential growth in hyper-inflation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 308(1), pages 411-419.
    • Handle: RePEc:eee:phsmap:v:308:y:2002:i:1:p:411-419
    DOI: 10.1016/S0378-4371(02)00598-8
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    Citations

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    Cited by:

    1. Hartwell, Christopher A., 2019. "Short waves in Hungary, 1923 and 1946: Persistence, chaos, and (lack of) control," Journal of Economic Behavior & Organization, Elsevier, vol. 163(C), pages 532-550.
    2. Ausloos, Marcel & Miśkiewicz, Janusz & Sanglier, Michèle, 2004. "The durations of recession and prosperity: does their distribution follow a power or an exponential law?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 339(3), pages 548-558.
    3. Sornette, D & Takayasu, H & Zhou, W.-X, 2003. "Finite-time singularity signature of hyperinflation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(3), pages 492-506.
    4. Hartwell, Christopher A & Szybisz, Martin Andres, 2021. "Corralling Expectations: The Role of Institutions in (Hyper)Inflation," MPRA Paper 105612, University Library of Munich, Germany.
    5. Alvarez-Ramirez, Jose & Ibarra-Valdez, Carlos, 2004. "Finite-time singularities in the dynamics of Mexican financial crises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(1), pages 253-268.
    6. Fernandes, Leonardo H.S. & Araújo, Fernando H.A. & Silva, Igor E.M. & Leite, Urbanno P.S. & de Lima, Neílson F. & Stosic, Tatijana & Ferreira, Tiago A.E., 2020. "Multifractal behavior in the dynamics of Brazilian inflation indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    7. Mizuno, Takayuki & Kurihara, Shoko & Takayasu, Misako & Takayasu, Hideki, 2003. "Analysis of high-resolution foreign exchange data of USD-JPY for 13 years," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 296-302.
    8. Szybisz, Martín A. & Szybisz, Leszek, 2017. "Hyperinflation in Brazil, Israel, and Nicaragua revisited," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 1-12.
    9. Szybisz, Martín A. & Szybisz, Leszek, 2017. "Extended nonlinear feedback model for describing episodes of high inflation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 91-108.
    10. Laurence Francis Lacey, 2021. "On the nature of monetary and price inflation and hyperinflation," Papers 2109.12980, arXiv.org.

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