广义双参数策略量子对策的Nash均衡
Nash equilibria in quantum games with generalized two-parameter strategies
摘要：
在2X2量子游戏的Mackerert协议中[Phys. Rev. Lett. 83，3077]，许多作者已经研究了使策略空间成为单量子比特酉算子的双参数子集所产生的特征。我们认为，新的纳什均衡和发生的经典-量子转换只是所选择的特定策略空间的产物。通过选择一个不同的，但同样合理的，两个参数的战略空间，我们表明，不同的纳什均衡与不同的经典量子转换可以出现。我们推广的两个参数的策略，并考虑这些策略在多人设置。
英文摘要：
In the Eisert protocol for 2 X 2 quantum games [Phys. Rev. Lett. 83, 3077], a number of authors have investigated the features arising from making the strategic space a two-parameter subset of single qubit unitary operators. We argue that the new Nash equilibria and the classical-quantum transitions that occur are simply an artifact of the particular strategy space chosen. By choosing a different, but equally plausible, two-parameter strategic space we show that different Nash equilibria with different classical-quantum transitions can arise. We generalize the two-parameter strategies and also consider these strategies in a multiplayer setting.
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