The effect of Caputo fractional difference operator on a novel game theory model

DOI10.3934/dcdsb.2020302zbMath1471.37083OpenAlexW3093078194MaRDI QIDQ2033807

Yanyan Li

Publication date: 17 June 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020302

zbMATH Keywords

chaosdynamic systemdiscrete fractional calculusmemoryCournot game

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Dynamic games (91A25) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13) Dynamical systems in optimization and economics (37N40) Bifurcation theory for difference equations (39A28)

Related Items (1)

Infinite line of equilibriums in a novel fractional map with coexisting infinitely many attractors and initial offset boosting

Cites Work

• On the Implementation of the 0–1 Test for Chaos
• New hyperbolic function solutions for some nonlinear partial differential equation arising in mathematical physics
• Principles of delta fractional calculus on time scales and inequalities
• On Riemann and Caputo fractional differences
• A fractional-order hyper-chaotic economic system with transient chaos
• Oligopolies price game in fractional order system
• Dynamics of a Cournot duopoly game with a generalized bounded rationality
• A new collection of real world applications of fractional calculus in science and engineering
• 0-1 test for chaos in a fractional order financial system with investment incentive
• On explicit stability conditions for a linear fractional difference system
• \(PD^\vartheta\) control strategy for a fractional-order chaotic financial model
• Cellular non-linear networks for microcirculation applications
• Discrete fractional calculus with the nabla operator
• Approximate entropy as a measure of system complexity.

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