论文标题
$ 2 \ times 2 $偏斜 - 对称进化游戏动力学的最佳控制表面的近似
Approximation of Optimal Control Surfaces for $2\times 2$ Skew-Symmetric Evolutionary Game Dynamics
论文作者
论文摘要
在本文中，我们研究了将通用解决方案近似于最佳控制问题的问题，该问题是由$ 2 \ times 2 $偏度对称的进化游戏引起的，具有任意初始条件。我们的方法使用傅立叶近似方法，并在使用正交函数近似方面概括了先前的工作以进行最佳控制。同时，我们在非标准的前馈神经网络中提出了拟合问题，并在此上下文中得出后传播操作员。提供了该方法功效的一个例子，并讨论了概括。
In this paper we study the problem of approximating the general solution to an optimal control problem whose dynamics arise from a $2\times 2$ skew-symmetric evolutionary game with arbitrary initial condition. Our approach uses a Fourier approximation method and generalizes prior work in the use of orthogonal function approximation for optimal control. At the same time we cast the fitting problem in the context of a non-standard feedforward neural network and derive the back-propagation operator in this context. An example of the efficacy of this approach is provided and generalizations are discussed.
