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A model for quantum game on networks

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  • Zhang, Xu
  • Chen, Guanrong

Abstract

A model of quantum game on networks is introduced, describing how the topology of a network impacts the quantum game. This framework includes the quantum multi-oligopoly Cournot model on networks. Furthermore, the Gorini–Kossakowski–Sudarshan–Lindblad (GKSL) equation on networks is introduced, which represents the interaction change of the quantum state on a network. Based on the GKSL equation, a model for the quantum replicator dynamics on networks is proposed, providing a framework for the dynamic quantum evolutionary game on networks.

Suggested Citation

  • Zhang, Xu & Chen, Guanrong, 2026. "A model for quantum game on networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 683(C).
    • Handle: RePEc:eee:phsmap:v:683:y:2026:i:c:s0378437125008696
    DOI: 10.1016/j.physa.2025.131217
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    References listed on IDEAS

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