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An Improved Lotka–Volterra Model Using Quantum Game Theory

Author

Listed:
  • Dingxuan Huang

    (School of Management, Chongqing University of Technology, Chongqing 400054, China)

  • Claudio O. Delang

    (Department of Geography, Hong Kong Baptist University, Hongkong 999077, China)

  • Yongjiao Wu

    (Business School, Wenzhou University, Wenzhou 325000, China)

  • Shuliang Li

    (Westminster Business School, University of Westminster, London NW1 5LS, UK
    School of Economics & Management, Southwest Jiaotong University, Chengdu 610031, China)

Abstract

Human decision-making does not conform to the independent decision-making hypothesis from classical decision-making theory. Thus, we introduce quantum decision-making theory into the Lotka–Volterra model (L–V model), to investigate player population dynamics while incorporating the initial strategy, game payoffs and interactive strategies in an open social system. Simulation results show that: (1) initial strategy, entanglement intensity of strategy interaction, and payoffs impact population dynamics; (2) In cooperative coexistence, game players mutually exceed the initial environmental capacity in an open system, but not in competitive coexistence; (3) In competitive coexistence, an initial strategy containing an entanglement intensity of strategies plays a vital role in game outcomes. Furthermore, our proposed model more realistically delineates the characteristics of population dynamics in competitive or cooperative coexistence scenarios.

Suggested Citation

  • Dingxuan Huang & Claudio O. Delang & Yongjiao Wu & Shuliang Li, 2021. "An Improved Lotka–Volterra Model Using Quantum Game Theory," Mathematics, MDPI, vol. 9(18), pages 1-17, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:18:p:2217-:d:632502
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    References listed on IDEAS

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