论文标题
动力学方法的集体动力学方法
Kinetic approach to the collective dynamics of the rock-paper-scissors binary game
论文作者
论文摘要
本文研究了岩纸剪辑二进制游戏的动力学动力学。我们首先证明了动力学方程的解的存在和唯一性，随后我们证明了对独立变量定义的两个有意义的域定义域的严格推导。我们注意到，该问题的定义领域起着至关重要的作用，并严重影响解决方案的行为。放松极限的严格证明不需要使用熵估计来确保紧凑。
This article studies the kinetic dynamics of the rock-paper-scissors binary game. We first prove existence and uniqueness of the solution of the kinetic equation and subsequently we prove the rigorous derivation of the quasi-invariant limit for two meaningful choices of the domain of definition of the independent variables. We notice that the domain of definition of the problem plays a crucial role and heavily influences the behavior of the solution. The rigorous proof of the relaxation limit does not need the use of entropy estimates for ensuring compactness.
