Dynamics and adaptive control of a duopoly advertising model based on heterogeneous expectations

DOI10.1007/s11071-011-9964-yzbMath1242.91080OpenAlexW2030738078MaRDI QIDQ437221

Juan Ding, Qiang Mei, Hong-Xing Yao

Publication date: 17 July 2012

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-011-9964-y

zbMATH Keywords

adaptive controlbifurcationheterogeneous expectationsadvertising model

Mathematics Subject Classification ID

Adaptive control/observation systems (93C40) Economic growth models (91B62) Auctions, bargaining, bidding and selling, and other market models (91B26) Dynamical systems in optimization and economics (37N40)

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Cites Work

• Simple and complex adjustment dynamics in Cournot duopoly models.
• Chaos control in an investment model with straight-line stabilization method
• Analysis of decision-making in economic chaos control
• Synchronization, intermittency and critical curves in a duopoly game
• Chaotic dynamics in nonlinear duopoly game with heterogeneous players.
• Nonlinear dynamics in the Cournot duopoly game with heterogeneous players
• The dynamics of Bowley's model with bounded rationality
• Nonlinear recursive delayed feedback control for chaotic discrete-time systems
• Controlling chaos
• Complex dynamics and synchronization of a duopoly game with bounded rationality

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