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Economic Hysteresis and Its Mathematical Modeling

2021/07/17 by Isaak D. Mayergoyz, Mayergoyz, Isaak D., Can E. Korman +1
Economics, Econometrics and Finance · Physics and Astronomy · #FOS: Economics and business #FOS: Physical sciences #Physics and Society (physics.soc-ph) #Theoretical Economics (econ.TH) #econ.TH #physics.soc-ph

paper · pdf · doi:10.48550/arxiv.2107.10639

13 pages, 19 figures

arxiv created 2021/10/29 · arxiv updated 2021/11/01

Abstract

Hysteresis is treated as a history dependent branching, and the use of the classical Preisach model for the analysis of macroeconomic hysteresis is first discussed. Then, a new Preisach-type model is introduced as a macroeconomic aggregation of more realistic microeconomic hysteresis than in the case of the classical Preisach model. It is demonstrated that this model is endowed with a more general mechanism of branching and may account for the continuous evolution of the economy and its effect on hysteresis. Furthermore, it is shown that the sluggishness of economic recovery is an intrinsic manifestation of hysteresis branching.

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