The Rock–scissors–paper game has been studied to account for cyclic behaviour under various game dynamics. We use a two-person parametrised version of this game. The cyclic behaviour is observed near a heteroclinic cycle, in a heteroclinic network, with two nodes such that, at each node, players alternate in winning and losing. This cycle is shown to be as stable as possible for a wide range of parameter values. The parameters are related to the players’ payoff when a tie occurs.

中文翻译：

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两人石头剪刀布游戏中的循环优势

岩石剪刀纸游戏已被研究以解释各种游戏动态下的循环行为。我们使用此游戏的两人参数化版本。循环行为在异宿循环附近观察到，在异宿网络中，有两个节点，这样，在每个节点，玩家交替获胜和失败。对于各种参数值，该循环显示为尽可能稳定。这些参数与出现平局时玩家的收益有关。