Classical and Quantum Contents of Solvable Game Theory on Hilbert Space
Cheon, Taksu ; Tsutsui, Izumi
arXiv, 0503233 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-03-30
Classification:  Quantum Physics,  Condensed Matter - Other Condensed Matter,  Mathematical Physics,  Nonlinear Sciences - Chaotic Dynamics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Physics - Biological Physics 
@article{0503233,
     author = {Cheon, Taksu and Tsutsui, Izumi},
     title = {Classical and Quantum Contents of Solvable Game Theory on Hilbert Space},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0503233}
}

Cheon, Taksu; Tsutsui, Izumi. Classical and Quantum Contents of Solvable Game Theory on Hilbert Space. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0503233/