On fractional duopoly models

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...

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Bibliographic Details
Published inNonlinear dynamics Vol. 112; no. 2; pp. 1559 - 1574
Main Author Cánovas, Jose S.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 2024
Springer Nature B.V
Subjects
Automotive Engineering
Classical Mechanics
Control
Duopoly
Dynamic stability
Dynamical Systems
Eigenvalues
Engineering
Mechanical Engineering
Original Paper
Vibration
Chaos
Permutation entropy
Fractional duopoly models
Fractional difference equations
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Summary: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.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-023-09095-1