Classical and Quantum Contents of Solvable Game Theory on Hilbert Space

Details Classical and Quantum Contents of Solvable Game Theory on Hilbert Space Classical and Quantum Contents of Solvable Game Theory on Hilbert Space

2005-03-31

arxiv.org/abs/quant-ph/0503233v2

Physics Letters A 348 (2006) 147-152

Physics

Quantum Physics

4 Pages, REVTeX, 3 Figures, 1 Table. Abstract, introduction and conclusion are revised. For higher resolution figures, go to

Scientific paper

10.1016/j.physleta.2005.08.066

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.

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