石头剪刀布二元博弈集体动力学的动力学方法
Kinetic approach to the collective dynamics of the rock-paper-scissors binary game
摘要：
研究了石头剪刀布二元博弈的动力学问题。首先证明了动力学方程解的存在性和唯一性，然后证明了自变量定义域中两个有意义的选择的拟不变极限的严格推导。我们注意到，问题的定义域起着至关重要的作用，并严重影响解决方案的行为。松弛极限的严格证明不需要使用熵估计来确保紧性。
英文摘要：
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.
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