A Rate-Dependent Probabilistic Model of Hysteresis

Instead of modelling an economic agent by a hysteron, we suggest a fluid–mechanical notion of rate-dependent hysteretic agents based on the theory of Poisson counters. It leads to a simple representation of assemblies of such agents. We discuss the properties of the new version of hysteresis and its advantages over classical models of hysteresis in economics.

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Publication Details

Journal
Mathematics
Published
2024-12-13
DOI
https://doi.org/10.3390/math12243924
Primary Topic
Capital Investment and Risk Analysis
Type
article
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article

A Rate-Dependent Probabilistic Model of Hysteresis

Harbir Lamba, Rod Cross, Michael Grinfeld
Mathematics
Capital Investment and Risk Analysis
article

A Rate-Dependent Probabilistic Model of Hysteresis

Harbir Lamba, Rod Cross, Michael Grinfeld
article en

Abstract

Instead of modelling an economic agent by a hysteron, we suggest a fluid–mechanical notion of rate-dependent hysteretic agents based on the theory of Poisson counters. It leads to a simple representation of assemblies of such agents. We discuss the properties of the new version of hysteresis and its advantages over classical models of hysteresis in economics.

MathematicsVol. 12(24)
George Mason University (US), University of Strathclyde (GB)
Openalex Percentile: Top 69%
Capital Investment and Risk Analysis
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