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Nash equilibrium and group strategy consensus of networked evolutionary game with coupled social groups

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  • Guo, Peilian
  • Han, Changda

Abstract

This paper studies the existence of Nash equilibrium and group strategy consensus problem of networked evolutionary game with coupled social groups, which is formulated as a two-layer networked game. First, by the approach of semi-tensor product, the payoff functions of players are converted into the algebraic forms, and two necessary and sufficient conditions are derived for the existence of pure Nash equilibrium. Second, the strict game algebraic equation by the best response adjustment rule with group intelligence is established, by which the group strategy consensus problem is investigated. At last, an example is worked out to verify our conclusions.

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  • Guo, Peilian & Han, Changda, 2021. "Nash equilibrium and group strategy consensus of networked evolutionary game with coupled social groups," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    • Handle: RePEc:eee:apmaco:v:409:y:2021:i:c:s0096300321004690
    DOI: 10.1016/j.amc.2021.126380
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    1. Liu, Aixin & Li, Haitao & Wang, Lin, 2024. "Exploring multi-potential games in strategic form: A graph theoretic approach," Applied Mathematics and Computation, Elsevier, vol. 474(C).
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    3. Xiang, Liu, 2022. "A large-scale equilibrium model of energy emergency production: Embedding social choice rules into Nash Q-learning automatically achieving consensus of urgent recovery behaviors," Energy, Elsevier, vol. 259(C).
    4. Zhang, Xi & Zhu, Qingyuan & Li, Xingchen & Pan, Yinghao, 2023. "The impact of government subsidy on photovoltaic enterprises independent innovation based on the evolutionary game theory," Energy, Elsevier, vol. 285(C).

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