In this paper, we study a class of markets, among which we can mention agricultural and energy markets, characterized by seasonality, i.e., in which demand and/or supply conditions cyclically alternate with a precise and known periodicity. We propose a new theoretical framework based on a cobweb model with adaptive expectations, accordingly modified to be consistent with market’s seasonality. The model, consisting in a second-order non-autonomous difference equation, is investigated with the aim of understanding how the periodical nature of the market together with the agents’ expectation formation mechanism affects the resulting dynamics. We analytically prove the emergence of dynamical scenarios that are missing in the classic cobweb model for non-seasonal markets, such as quasi-periodic dynamics and an ambiguous role on stability of the expectation weight. Finally, we discuss their economic rationale with the help of numerical simulations. In such a peculiar economic framework, agents’ learning plays a key role to explain the dynamical properties of economic observables.

Cavalli, F., Naimzada, A., & Visconti Parisio, L. (2021). Learning in a double-phase cobweb model. DECISIONS IN ECONOMICS AND FINANCE, 44(2), 579-611 [10.1007/s10203-021-00335-w].

Learning in a double-phase cobweb model

Cavalli F.
;
Naimzada A.;Visconti Parisio L.
2021

Abstract

In this paper, we study a class of markets, among which we can mention agricultural and energy markets, characterized by seasonality, i.e., in which demand and/or supply conditions cyclically alternate with a precise and known periodicity. We propose a new theoretical framework based on a cobweb model with adaptive expectations, accordingly modified to be consistent with market’s seasonality. The model, consisting in a second-order non-autonomous difference equation, is investigated with the aim of understanding how the periodical nature of the market together with the agents’ expectation formation mechanism affects the resulting dynamics. We analytically prove the emergence of dynamical scenarios that are missing in the classic cobweb model for non-seasonal markets, such as quasi-periodic dynamics and an ambiguous role on stability of the expectation weight. Finally, we discuss their economic rationale with the help of numerical simulations. In such a peculiar economic framework, agents’ learning plays a key role to explain the dynamical properties of economic observables.
Articolo in rivista - Articolo scientifico
Scientifica
Cobweb model; Complex dynamics; Double-phase market; Expectations; Stability; Time-dependent demand/supply functions;
English
Cavalli, F., Naimzada, A., & Visconti Parisio, L. (2021). Learning in a double-phase cobweb model. DECISIONS IN ECONOMICS AND FINANCE, 44(2), 579-611 [10.1007/s10203-021-00335-w].
Cavalli, F; Naimzada, A; Visconti Parisio, L
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/323264
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