Evolutionary games with two species and delayed reciprocity

Hu, Kaipeng; Li, Zhouhong; Ши, Лей; Perc, Matjaž

doi:10.1007/s11071-023-08231-1

Cited by 10 publications

(2 citation statements)

References 49 publications

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“…This fact leads to the emergence of time delay. Time delay affects replicator dynamics, so time delay should be taken into account in evolutionary game analysis [21][22][23][24][25][26]. Hu et al [23] studied three models and found that the existence of delay has a significant effect on the stability of the studied system.…”

Section: Introductionmentioning

confidence: 99%

“…Time delay affects replicator dynamics, so time delay should be taken into account in evolutionary game analysis [21][22][23][24][25][26]. Hu et al [23] studied three models and found that the existence of delay has a significant effect on the stability of the studied system. Jan et al [24] studied the stability of internal equilibrium points in discrete delay replication factor dynamics.…”

Section: Introductionmentioning

confidence: 99%

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Evolutionary Game Analysis of Digital Financial Enterprises and Regulators Based on Delayed Replication Dynamic Equation

Xu,

Liu,

et al. 2024

Mathematics

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With the frequent occurrence of financial risks, financial innovation supervision has become an important research issue, and excellent regulatory strategies are of great significance to maintain the stability and sustainable development of financial markets. Thus, this paper intends to analyze the financial regulation strategies through evolutionary game theory. In this paper, the delayed replication dynamic equation and the non-delayed replication dynamic equation are established, respectively, under different reward and punishment mechanisms, and their stability conditions and evolutionary stability strategies are investigated. The analysis finds that under the static mechanism, the internal equilibrium is unstable, and the delay does not affect the stability of the system, while in the dynamic mechanism, when the delay is less than a critical value, the two sides of the game have an evolutionary stable strategy, otherwise it is unstable, and Hopf bifurcation occurs at threshold. Finally, some numerical simulation examples are provided, and the numerical results show the correctness of the proposed algorithm.

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