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Heterogeneity in the Harrodian sentiment dynamics, entailing also some scope for stability

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  • Reiner Franke

    (University of Kiel (GER))

Abstract

Drawing on recent ideas in the literature to model ‘animal spirits’, the paper considers the investment of heterogeneous firms that probabilistically switch between optimism and pessimism. Combining the herding component in the endogenous transition probabilities with a Harrodian feedback, a one-dimensional macroeconomic adjustment equation is set up. Assuming a ‘neutral’ herding coefficient and considering the local dynamics around the steady state with normal utilization, the equation shows a one-to-one correspondence with the neo-Kaleckian baseline model of Harrodian instability. The paper thus provides a rigorous specification of its sentiment adjustment story. In a second and innovative step, the firms are additionally allowed to be neutral. In this variant, up to three ‘fully-adjusted’ steady states come into being, which, however, cannot be distinguished from a macroeconomic point of view. While two of them exhibit the usual instability, it turns out that the equilibrium with the highest share of neutral agents can easily be locally stable. The result shows that the common macroeconomic view of Harrodian instability that essentially treats all firms alike may be too simple. Also, the economic significance of the paper’s findings goes beyond the present very limited framework.

Suggested Citation

  • Reiner Franke, 2020. "Heterogeneity in the Harrodian sentiment dynamics, entailing also some scope for stability," Journal of Evolutionary Economics, Springer, vol. 30(2), pages 347-374, April.
  • Handle: RePEc:spr:joevec:v:30:y:2020:i:2:d:10.1007_s00191-019-00627-w
    DOI: 10.1007/s00191-019-00627-w
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    References listed on IDEAS

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    1. Orlando Gomes & J. C. Sprott, 2017. "Sentiment-driven limit cycles and chaos," Journal of Evolutionary Economics, Springer, vol. 27(4), pages 729-760, September.
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    More about this item

    Keywords

    Agent-based modelling; Three-state sentiment dynamics; Multiple equilibria; Herding; Phase diagrams;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • E12 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Keynes; Keynesian; Post-Keynesian; Modern Monetary Theory
    • E30 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - General (includes Measurement and Data)

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