Most games in the real world are asymmetric, and participants can have different conditions or strategies, depending on the available resources. In this work, the quantum prisoner’s dilemma with two dilemma strength parameters is studied. Two examples of asymmetric strategy spaces are considered. We show that, most of the obtained Nash equilibria are not Pareto optimal. Therefore, the classical dilemma can still exist in the quantum regime with asymmetric strategy spaces. These results can be applied to real-world situations, when global issues requiring the interaction of agents from different environments exist.

中文翻译：

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非对称策略空间中的量子囚徒困境

现实世界中的大多数游戏都是不对称的，参与者可以有不同的条件或策略，具体取决于可用资源。在这项工作中，研究了具有两个困境强度参数的量子囚徒困境。考虑了非对称策略空间的两个例子。我们表明，大多数获得的纳什均衡都不是帕累托最优的。因此，经典困境仍然存在于具有非对称策略空间的量子体系中。当存在需要来自不同环境的代理交互的全局问题时，这些结果可以应用于现实世界的情况。