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On fractional duopoly models

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Abstract

We consider fractional versions of well-known duopoly models constructed by assuming adaptive expectations. These models have infinite memory and therefore take into account all the previous information on the production of each firm to plan future firms’ outputs. We obtain the stability region for the Cournot equilibrium and show evidence of complicated dynamical behavior.

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  1. Department of Applied Mathematics and Statistics, Technical University of Cartagena, C/Doctor Flemming sn, 30202, Cartagena, Spain

    Jose S. Cánovas

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  1. Jose S. Cánovas
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Correspondence to Jose S. Cánovas.

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Cánovas, J.S. On fractional duopoly models. Nonlinear Dyn 112, 1559–1574 (2024). https://doi.org/10.1007/s11071-023-09095-1

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