An Improved Lotka–Volterra Model Using Quantum Game Theory

Dingxuan Huang, Claudio Delang, Yongjiao Wu and Shuliang Li
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Dingxuan Huang: School of Management, Chongqing University of Technology, Chongqing 400054, China
Yongjiao Wu: Business School, Wenzhou University, Wenzhou 325000, China
Shuliang Li: Westminster Business School, University of Westminster, London NW1 5LS, UK

Mathematics, 2021, vol. 9, issue 18, 1-17

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.

Keywords: Lotka–Volterra model; quantum game; competitive coexistence; cooperative coexistence; strategy interaction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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