• Corpus ID: 208201996

Comment on "Quantum Games and Quantum Strategies"

@article{Bordg2019CommentO,
  title={Comment on "Quantum Games and Quantum Strategies"},
  author={Anthony Bordg and Yijun He},
  journal={ArXiv},
  year={2019},
  volume={abs/1911.09354}
}
We point out a flaw in the unfair case of the quantum Prisoner's Dilemma as introduced in the pioneering Letter "Quantum Games and Quantum Strategies" of Eisert, Wilkens and Lewenstein. It is not true that the so-called miracle move therein always gives quantum Alice a large reward against classical Bob and outperforms tit-for-tat in an iterated game. Indeed, we introduce a new classical strategy that becomes Bob's dominant strategy, should Alice play the miracle move. Finally, we briefly… 
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We study a general 2 × 2 symmetric entangled quantum game. When one player has access only to classical strategies, while the other can use the full range of quantum strategies, there are ‘miracle’
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We investigate the quantization of non-zero sum games. For the particular case of the Prisoners' Dilemma we show that this game ceases to pose a dilemma if quantum strategies are allowed for. We also
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It is proved that in general a quantum strategy is always at least as good as a classical one, and furthermore that when both players use quantum strategies there need not be any equilibrium, but if both are allowed mixed quantum strategiesthere must be.
Comment on "quantum games and quantum strategies".
A Comment on the Letter by Jens Eisert, Martin Wilkens, and Maciej Lewenstein, Phys.Rev.Lett. 83, 3077 (1999). The authors of the Letter offer a Reply.
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