论文标题

部分可观测时空混沌系统的无模型预测

Information-based matching explains the diversity of cooperation among different populations

论文作者

Gong, Xiaoming

论文摘要

储层计算是预测湍流的有力工具,其简单的架构具有处理大型系统的计算效率。然而,其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间,然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用,该系统模拟了湍流的若干特征。我们表明,使用径向基函数作为非线性投影器,即使只有部分观测并且不知道控制方程,也能稳健地捕捉复杂的系统非线性。最后,我们表明,当测量稀疏、不完整且带有噪声,甚至控制方程变得不准确时,我们的网络仍然可以产生相当准确的预测,从而为实际湍流系统的无模型预测铺平了道路。

This paper introduces a bilateral matching mechanism to explain why different populations have different levels of cooperation. The traditional game theory assumes that individuals can acquire their neighbor's information without cost after generating information. In fact, the environment and cognition of populations often limit the magnitude of information received by individuals. Our model divides information dynamics into two processes: generation and dissemination. After generating, information starts to disseminate in the population. Individuals match and interact with each other based on the information received and then confirm partnerships, which differs from traditional research's unilateral partner selection process. Specifically, we find a function to simulate two constraints of information acquisition in different populations: information dissemination cost and cognition competence. These two kinds of constraints affect the choice of partnership and then the evolution of cooperation. The game evolved under the condition of information constraints. Through large-scale Monte Carlo simulations, we find that information dissemination and cognition underlie the evolution of cooperation. The lower cost of information dissemination and the more valid cognition of information, the higher level of cooperation. Moreover, deviations in cognition among individuals more sensitively determine the equilibrium cooperation density. As the deviations increase, cooperation density decreases significantly. This paper provides a new explanation for the diversity of cooperation among populations with different information dissemination costs and cognition competence.

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