环境随机波动对仿真动态的进化稳定性的影响
Si-Yi Wang1, Yan-Min Che1, Yi Tao2
1School of Modern Posts, <a href="https://ror.org/04jn0td46">Xi'an University of Posts and Telecommunications</a>, Xi'an 710061, China.
Physical review. E
|September 19, 2024
概括
环境噪音影响模仿动态. 随机进化稳定性取决于平均回报矩阵,而不是其随机性,影响合作和系统行为.
科学领域:
- 进化游戏理论的演化游戏理论.
- 数学建模的数学建模
- 复杂的系统复杂的系统.
背景情况:
- 模仿动态对于理解人口中的战略演变至关重要.
- 环境噪音可以显著改变进化过程.
- 随机稳定性概念对于分析具有随机元素的系统至关重要.
研究的目的:
- 调查环境噪声对离散时间仿真动态的影响.
- 分析这些动态的随机稳定性和随机进化稳定性.
- 将随机进化稳定性的概念扩展到模仿动态.
主要方法:
- 研究固定状态和内部平衡的随机局部稳定性.
- 开发一个两种现象型模型来分析入侵概率.
- 扩大对模仿动态的随机进化稳定性的定义.
主要成果:
- 随机进化稳定性是由平均回报矩阵决定的,独立于它的随机性.
- 噪音强度会影响合作在随机囚犯困境游戏中的演变.
- 环境噪声会影响系统的非线性动态行为.
结论:
- 平均矩阵属性是模仿动态中随机进化稳定的关键.
- 环境噪音在塑造进化结果,包括合作方面发挥着关键作用.
- 这一框架为具有随机环境影响的复杂系统提供了洞察力.
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