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Feedback dynamic control for exiting a debt-induced spiral in a deterministic Keen model.

Authors :
Perez Avellaneda, Ivan
Rosales, Francisco
Duffaut Espinosa, Luis A.
Source :
PLoS ONE. 2/9/2024, Vol. 19 Issue 2, p1-23. 23p.
Publication Year :
2024

Abstract

The Keen model is designed to represent an economy as a dynamic system governed by the interactions between private debt, wage share, and employment rate. When certain conditions are met, the model can lead to a debt spiral, which accurately mimics the impact of a financial crisis on an economy. This manuscript presents a recipe for breaking this spiral by expressing Keen's model as an affine nonlinear system that can be modified through policy interventions. We begin by considering critical initial conditions that resemble a financial crisis to achieve this goal. We then locate a desired point within the system's vector field that leads to a desirable equilibrium and design a path towards it. This path is later followed using one-step-ahead optimal control. We illustrate our approach by presenting simulated control scenarios. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
19326203
Volume :
19
Issue :
2
Database :
Academic Search Index
Journal :
PLoS ONE
Publication Type :
Academic Journal
Accession number :
175366511
Full Text :
https://doi.org/10.1371/journal.pone.0295859