Quantum Prisoner’s Dilemma in Asymmetric Strategy Spaces

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.