Extended nonlinear feedback model for describing episodes of high inflation
An extension of the nonlinear feedback (NLF) formalism to describe regimes of hyper- and high-inflation in economy is proposed in the present work. In the NLF model the consumer price index (CPI) exhibits a finite time singularity of the type 1/(tc−t)(1−β)/β, with β>0, predicting a blow up of the...
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ftunibueairesbd:todo:paper_03784371_v465_n_p91_Szybisz 2023-10-29T02:37:26+01:00 Extended nonlinear feedback model for describing episodes of high inflation Szybisz, M.A. Szybisz, L. https://hdl.handle.net/20.500.12110/paper_03784371_v465_n_p91_Szybisz unknown http://hdl.handle.net/20.500.12110/paper_03784371_v465_n_p91_Szybisz info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Critical exponents Economics econophysics Interdisciplinary applications of physics Singularity theory Social and economic systems Special functions Critical exponent Econophysicss Nonlinear feedback JOUR ftunibueairesbd https://doi.org/20.500.12110/paper_03784371_v465_n_p91_Szybisz 2023-10-05T02:01:09Z An extension of the nonlinear feedback (NLF) formalism to describe regimes of hyper- and high-inflation in economy is proposed in the present work. In the NLF model the consumer price index (CPI) exhibits a finite time singularity of the type 1/(tc−t)(1−β)/β, with β>0, predicting a blow up of the economy at a critical time tc. However, this model fails in determining tc in the case of weak hyperinflation regimes like, e.g., that occurred in Israel. To overcome this trouble, the NLF model is extended by introducing a parameter γ, which multiplies all terms with past growth rate index (GRI). In this novel approach the solution for CPI is also analytic being proportional to the Gaussian hypergeometric function 2F1(1/β,1/β,1+1/β;z), where z is a function of β, γ, and tc. For z→1 this hypergeometric function diverges leading to a finite time singularity, from which a value of tc can be determined. This singularity is also present in GRI. It is shown that the interplay between parameters β and γ may produce phenomena of multiple equilibria. An analysis of the severe hyperinflation occurred in Hungary proves that the novel model is robust. When this model is used for examining data of Israel a reasonable tc is got. High-inflation regimes in Mexico and Iceland, which exhibit weaker inflations than that of Israel, are also successfully described. © 2016 Elsevier B.V. Fil:Szybisz, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Journal/Newspaper Iceland Biblioteca Digital FCEN-UBA (Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires) |
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Open Polar |
collection |
Biblioteca Digital FCEN-UBA (Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires) |
op_collection_id |
ftunibueairesbd |
language |
unknown |
topic |
Critical exponents Economics econophysics Interdisciplinary applications of physics Singularity theory Social and economic systems Special functions Critical exponent Econophysicss Nonlinear feedback |
spellingShingle |
Critical exponents Economics econophysics Interdisciplinary applications of physics Singularity theory Social and economic systems Special functions Critical exponent Econophysicss Nonlinear feedback Szybisz, M.A. Szybisz, L. Extended nonlinear feedback model for describing episodes of high inflation |
topic_facet |
Critical exponents Economics econophysics Interdisciplinary applications of physics Singularity theory Social and economic systems Special functions Critical exponent Econophysicss Nonlinear feedback |
description |
An extension of the nonlinear feedback (NLF) formalism to describe regimes of hyper- and high-inflation in economy is proposed in the present work. In the NLF model the consumer price index (CPI) exhibits a finite time singularity of the type 1/(tc−t)(1−β)/β, with β>0, predicting a blow up of the economy at a critical time tc. However, this model fails in determining tc in the case of weak hyperinflation regimes like, e.g., that occurred in Israel. To overcome this trouble, the NLF model is extended by introducing a parameter γ, which multiplies all terms with past growth rate index (GRI). In this novel approach the solution for CPI is also analytic being proportional to the Gaussian hypergeometric function 2F1(1/β,1/β,1+1/β;z), where z is a function of β, γ, and tc. For z→1 this hypergeometric function diverges leading to a finite time singularity, from which a value of tc can be determined. This singularity is also present in GRI. It is shown that the interplay between parameters β and γ may produce phenomena of multiple equilibria. An analysis of the severe hyperinflation occurred in Hungary proves that the novel model is robust. When this model is used for examining data of Israel a reasonable tc is got. High-inflation regimes in Mexico and Iceland, which exhibit weaker inflations than that of Israel, are also successfully described. © 2016 Elsevier B.V. Fil:Szybisz, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. |
format |
Journal/Newspaper |
author |
Szybisz, M.A. Szybisz, L. |
author_facet |
Szybisz, M.A. Szybisz, L. |
author_sort |
Szybisz, M.A. |
title |
Extended nonlinear feedback model for describing episodes of high inflation |
title_short |
Extended nonlinear feedback model for describing episodes of high inflation |
title_full |
Extended nonlinear feedback model for describing episodes of high inflation |
title_fullStr |
Extended nonlinear feedback model for describing episodes of high inflation |
title_full_unstemmed |
Extended nonlinear feedback model for describing episodes of high inflation |
title_sort |
extended nonlinear feedback model for describing episodes of high inflation |
url |
https://hdl.handle.net/20.500.12110/paper_03784371_v465_n_p91_Szybisz |
genre |
Iceland |
genre_facet |
Iceland |
op_relation |
http://hdl.handle.net/20.500.12110/paper_03784371_v465_n_p91_Szybisz |
op_rights |
info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar |
op_doi |
https://doi.org/20.500.12110/paper_03784371_v465_n_p91_Szybisz |
_version_ |
1781062163331284992 |