用常微分方程编写的滞后游戏数学模型

IF 1 Q4 COMPUTER SCIENCE, INFORMATION SYSTEMS
Nguyen Hien, Pavel Rahman
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引用次数: 0

摘要

在博弈论中,滞后效应表现为一个或多个参数的微小差异会导致两个系统达到相反的稳定平衡。本文研究了由常微分方程书写的滞后博弈数学模型(称为平滑模型),其参数为 K。通过连续输入函数的连续性模块,对平滑模型和经典模型的输出函数的接近性进行了估计。这种误差可以通过将参数 K 增加到足够大的值来控制。结果是通过研究数学模型和使用 Mathematica、Matlab 或 Maple 程序得出的。进行了实验,并通过评估和图形解释对获得的结果进行了总结和展示。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Mathematical model written by ordinary differential equations for hysteresis games
In game theory, the hysteresis effect manifests itself in the fact that small differences in one or more parameters lead two systems to opposite stable equilibrium. The mathematical model (called smooth model) of hysteresis game writing by ordinary differential equations with the great parameter K is studied. Estimations of closeness of output functions for smooth and classical models through the continuity module of continuous input function are received. This error can be controlled by increasing the parameter K to a sufficiently large value. The result was conducted by studying of mathematical model and using programs Mathematica, Matlab or Maple. Experiments were carried out, and the obtained results were summarized and presented through evaluations and graphical interpretation.
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