Classical and Quantum Contents of Solvable Game Theory on Hilbert Space

Abstract

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.

4 Pages, REVTeX, 3 Figures, 1 Table. Abstract, introduction and conclusion are revised. For higher resolution figures, go to http://www.mech.kochi-tech.ac.jp/cheon/index_j.html

References in corpus (5)

• Classical Rules in Quantum Games
• Advantage of a quantum player over a classical one in 2x2 quantum games
• Studies in the Theory of Quantum Games
• Altruistic Duality in Evolutionary Game Theory
• Exciton entanglement in two coupled semiconductor microcrystallites

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