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Global dynamics of a quantum Cournot duopoly with quadratic costs and relative profit maximization

  • 01-07-2024
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Abstract

The article delves into the dynamics of a quantum Cournot duopoly model with quadratic costs and relative profit maximization. It introduces quantum entanglement into classical economic games, exploring how this integration affects system stability and dynamics. The study examines the local stability of equilibrium points and the impact of parameters on system stability, revealing that quantum entanglement can enhance stability and delay bifurcations. Additionally, it investigates the global dynamic behavior of the system, including multistability and critical curves, providing insights into the long-term evolution and attractor coexistence in quantum game models. The research highlights the potential of quantum games to optimize relative profits and enhance business competitiveness, offering a comprehensive analysis of the interplay between quantum mechanics and economic decision-making.

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Title
Global dynamics of a quantum Cournot duopoly with quadratic costs and relative profit maximization
Authors
Zhiyi Deng
Jiangang Zhang
Rui Xue
Hongmei Yu
Publication date
01-07-2024
Publisher
Springer US
Published in
Quantum Information Processing / Issue 7/2024
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-024-04463-1
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