Classical and quantum contents of solvable game theory on Hilbert space
Classical and quantum contents of solvable game theory on Hilbert space
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DOI：
10.1016/j.physleta.2005.08.066
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发表时间：
2006-01-02
影响因子：
2.6
通讯作者：
Tsutsui, I
中科院分区：
文献类型：
--
作者：
Cheon, T;Tsutsui, I
提出了量子博弈论的一个简单而通用的公式，首次在希尔伯特空间中容纳了所有可能的策略。该理论对于两种策略量子博弈是可解的，该博弈被证明等价于以量子干涉为补充的一系列经典博弈。我们的表述提供了一个清晰的视角来理解量子策略为何以及如何超越经典策略。它还揭示了量子博弈的新颖方面，例如石头剪刀布阶段子博弈和波动引起的调节。 (c) 2005 Elsevier B.V. 保留所有权利。
A simple and general formulation of the quantum game theory is presented, accommodating all possible strategies in the Hilbert space for the first time. The theory is solvable for the two strategy quantum game, which is shown to be equivalent to a family of classical games supplemented by quantum interference. Our formulation gives a clear perspective to understand why and how quantum strategies outmaneuver classical strategies. It also reveals novel aspects of quantum games such as the stone-scissor-paper phase sub-game and the fluctuation-induced moderation. (c) 2005 Elsevier B.V. All rights reserved.