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Adaptive learning in the Cobweb with an endogenous gain sequence

Author

Listed:
  • Domenico Colucci

    (Dipartimento di Matematica per le Decisioni - Università degli Studi di Firenze)

  • Vincenzo Valori

    (Dipartimento di Matematica per le Decisioni - Università degli Studi di Firenze)

Abstract

We develop a learning rule that generalises the well known fading memory learning in the sense that the weights attached to the available time series data are not constant and are updated in light of the forecast error(s). The underlying idea is that confidence in the available data will be low when large errors have been realized (e.g. in times of higher volatility) and vice versa. A class of functional forms compatible with this idea is analysed in the context of a standard Cobweb model with boundedly rational agents. We study the problem of convergence to the perfect foresight equilibrium and give conditions that ensure the coexistence of different attractors. We refer to experimental and numerical evidence to establish the possible range of application of the generalised fading memory learning.

Suggested Citation

  • Domenico Colucci & Vincenzo Valori, 2004. "Adaptive learning in the Cobweb with an endogenous gain sequence," Working Papers - Mathematical Economics 2004-01, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
    • Handle: RePEc:flo:wpaper:2004-01
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    References listed on IDEAS

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    Cited by:

    1. Milani, Fabio, 2014. "Learning and time-varying macroeconomic volatility," Journal of Economic Dynamics and Control, Elsevier, vol. 47(C), pages 94-114.

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    More about this item

    Keywords

    heterogeneous agents; expectations; stock market; behavioural finance; bounded rationality; middlemen.;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

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