Strategy evolution of a novel cooperative game model induced by reward feedback and a time delay DOI Creative Commons

Haowen Gong,

Hongping Xiang, Yifei Wang

et al.

AIMS Mathematics, Journal Year: 2024, Volume and Issue: 9(11), P. 33161 - 33184

Published: Jan. 1, 2024

<p>Rewarding cooperators and punishing defectors are effective measures for promoting cooperation in evolutionary game theory. Given that previous models treated rewards as constants, this does not reflect real-world dynamics changes. Therefore, paper focused on the classical payoff matrix examined dynamic variable affected by defection strategies, well impact of time delays. First, system without a delay, we analyzed existence stability numerous equilibrium points explored transcritical bifurcations under various conditions. Second, time-delay system, discussed series delayed dynamical behaviors including Hopf bifurcation, period, direction bifurcation. Finally, changes strategy were observed numerical simulation, some interesting results obtained: (ⅰ) Under certain circumstances, even if reward given to reaches maximum, proportion is still zero, which means increasing always promote cooperation. (ⅱ) The initial state can affect choice strategy. (ⅲ) increase delay makes stable point disappear forms limit cycle.</p>

Language: Английский

Individuals Strategies and Predator–Prey Game Models in Deterministic and Random Settings DOI Creative Commons

Hairui Yuan,

Xinzhu Meng, Federico Frascoli

et al.

Mathematical Methods in the Applied Sciences, Journal Year: 2025, Volume and Issue: unknown

Published: May 24, 2025

ABSTRACT The authors propose a new predator–prey game model by integrating two optional strategies into prey species: cooperative and isolation strategies. An investigation of the evolutionary impact on system dynamics is given. utilizes replicator equation to track changes in frequency strategy among preys, along with population growth equations detailing variations predator biomass. Interestingly, both isolated can coexist within species. As predation rate increases, preys are more inclined adopt strategies, thereby boosting Abundant resources then encourage opt for secure defend against predators. Under specific conditions, exhibits intricate involving bistability, transcritical, Hopf bifurcations. A novel fractional‐order derived using continuous‐time random walk based potential physical stochastic process, which different than traditional models. influence fractal dimension analyzed, showing that it either diminish or eliminate species potentially lead extinction. affects convergence speed without altering its final steady state: time change, adopted biomasses prey, ultimately stabilize toward same state, but their rates approaching state different. In this case, only survive These models have multiple applications settings, aiding management animal populations, pest control, tumor immune interactions, infectious diseases.

Language: Английский

Citations

0
Evolution of strategies in evolution games on small-world networks and applications DOI

Chengyan Liu,

Weiguo Lv, Xin Cheng

et al.

Chaos Solitons & Fractals, Journal Year: 2024, Volume and Issue: 189, P. 115676 - 115676

Published: Oct. 31, 2024

Language: Английский

Citations

2
Spatial Characterization of Sports Economic Linkages - Based on an Evolutionary Game Theory Perspective DOI Open Access

Ruikai Chen,

Shuiquan Wang

Applied Mathematics and Nonlinear Sciences, Journal Year: 2024, Volume and Issue: 9(1)

Published: Jan. 1, 2024

Abstract There exists an important connection between the development of sports economy and spatial characteristics, but current characteristics economic linkages suffers from lack identification screening subjects interest inability to articulate structure interests each subject. The article adopts research paradigm based on rooted theory encode game phenomenon constructs evolutionary model that integrates administrative regulator, supply side community public services, demand side. optimal equilibrium strategy promote sustainable urban services governance is also explored by combining Jacobian matrix simulation experiments. Although tripartite play different dynamic roles at stages transformation, they all converge steady state (1, 1, 1) in end. In addition, three have processes. First, probability choosing support core area decreases then rises, while government mass recognition both increase. area, support, are experiencing a gradual Finally, shows first decline rise, continues show increase, finally evolve into state.

Language: Английский

Citations

0
Strategy evolution of a novel cooperative game model induced by reward feedback and a time delay DOI Creative Commons

Haowen Gong,

Hongping Xiang, Yifei Wang

et al.

AIMS Mathematics, Journal Year: 2024, Volume and Issue: 9(11), P. 33161 - 33184

Published: Jan. 1, 2024

<p>Rewarding cooperators and punishing defectors are effective measures for promoting cooperation in evolutionary game theory. Given that previous models treated rewards as constants, this does not reflect real-world dynamics changes. Therefore, paper focused on the classical payoff matrix examined dynamic variable affected by defection strategies, well impact of time delays. First, system without a delay, we analyzed existence stability numerous equilibrium points explored transcritical bifurcations under various conditions. Second, time-delay system, discussed series delayed dynamical behaviors including Hopf bifurcation, period, direction bifurcation. Finally, changes strategy were observed numerical simulation, some interesting results obtained: (ⅰ) Under certain circumstances, even if reward given to reaches maximum, proportion is still zero, which means increasing always promote cooperation. (ⅱ) The initial state can affect choice strategy. (ⅲ) increase delay makes stable point disappear forms limit cycle.</p>

Language: Английский

Citations

0