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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ftrepec:oai:RePEc:eee:phsmap:v:465:y:2017:i:c:p:91-108 2024-04-14T08:13:50+00:00 Extended nonlinear feedback model for describing episodes of high inflation Szybisz, Martín A. Szybisz, Leszek http://www.sciencedirect.com/science/article/pii/S0378437116304459 unknown http://www.sciencedirect.com/science/article/pii/S0378437116304459 article ftrepec 2024-03-19T10:34:27Z 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. Special functions; Singularity theory; Critical exponents; Interdisciplinary applications of physics; Economics, econophysics; Social and economic systems; Article in Journal/Newspaper Iceland RePEc (Research Papers in Economics) |
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RePEc (Research Papers in Economics) |
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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. Special functions; Singularity theory; Critical exponents; Interdisciplinary applications of physics; Economics, econophysics; Social and economic systems; |
format |
Article in Journal/Newspaper |
author |
Szybisz, Martín A. Szybisz, Leszek |
spellingShingle |
Szybisz, Martín A. Szybisz, Leszek Extended nonlinear feedback model for describing episodes of high inflation |
author_facet |
Szybisz, Martín A. Szybisz, Leszek |
author_sort |
Szybisz, Martín 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 |
http://www.sciencedirect.com/science/article/pii/S0378437116304459 |
genre |
Iceland |
genre_facet |
Iceland |
op_relation |
http://www.sciencedirect.com/science/article/pii/S0378437116304459 |
_version_ |
1796311909944786944 |