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Emergence of chaotic dynamics in the Goodwin model with disequilibrium in the goods market

Giovanni Bella

Structural Change and Economic Dynamics, 2025, vol. 73, issue C, 170-180

Abstract: This study investigates the conditions for the emergence of chaotic dynamics in the Goodwin economy studied in Sordi and Vercelli (2014), where the economic fluctuations occur in the presence of a class struggle in the labor force while assuming disequilibrium in the produced goods market. Applying the Shilnikov theorem, we derive a parametric configuration leading to a chaotic region that sets the economy on an undesired indeterminate equilibrium path. We also apply a standard stabilizing algorithm to determine a solution for ending the chaos. Implications of this study are noteworthy, as may produce a more powerful instrument to detect the emergence of unregular (chaotic) cycles and the possible path-dependence of equilibrium trajectories from the initial endowments of an economy, which remain instead hidden when the standard Hopf bifurcation theorem is uniquely applied.

Keywords: Goodwin's growth cycle; Class struggle; Shilnikov bifurcation; Chaotic dynamics (search for similar items in EconPapers)
JEL-codes: C62 C63 O41 (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:streco:v:73:y:2025:i:c:p:170-180

DOI: 10.1016/j.strueco.2025.01.005

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