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Nonlinear dynamics of continuous-variable quantum games with bounded rationality

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Abstract

We investigate the dynamics of a quantum duopoly game where the players use bounded rationality to adjust own decision. The stability conditions of the equilibrium points are analyzed. Furthermore, we present the numerical simulations to show the nonlinear behaviors: bifurcations, strange attractors, stability region.

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Acknowledgements

This research was supported by National Natural Science Foundation of China (No. 11501349) and Graduate Innovation Foundation sponsored by Shanghai University of Finance and Economics (No. CXJJ-2017-375).

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Correspondence to Zhe Yang.

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Yang, Z., Gong, Q. Nonlinear dynamics of continuous-variable quantum games with bounded rationality. Quantum Inf Process 17, 302 (2018). https://doi.org/10.1007/s11128-018-2079-3

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