Debunking van Enk-Pike's criterion for quantum games

نویسندگان

  • Nilesh Vyas
  • Colin Benjamin
چکیده

S. J. van Enk and R. Pike in PRA 66, 024306 (2002), argue that the equilibrium solution to a quantum game isn’t unique but is already present in the classical game itself. In this work, we debunk this assertion by showing that a random strategy in a particular quantum (Hawk-Dove) game is unique to the quantum game. In other words the equilibrium solution of the quantum Hawk-Dove game can not be obtained in the classical Hawk-Dove game. Moreover, we provide an analytical solution to the quantum 2 × 2 strategic form Hawk-Dove game using random mixed strategies. The random strategies which we describe are evolutionary stable implying both Pareto optimality and Nash equilibrium with their payoff’s classically unobtainable.

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عنوان ژورنال:
  • CoRR

دوره abs/1701.08573  شماره 

صفحات  -

تاریخ انتشار 2017