Game Theory Formulated on Hilbert Space

Details Game Theory Formulated on Hilbert Space Game Theory Formulated on Hilbert Space

2006-05-16

arxiv.org/abs/quant-ph/0605134v1

Physics

Quantum Physics

in Proceedings of International Conference, "Quantum Information: Back Action", Indian Institute of Technology, Kanpur, Kanpur

Scientific paper

10.1063/1.2400897

We present a consistent formulation of quantum game theory that accommodates all possible strategies in Hilbert space. The physical content of the quantum strategy is revealed as a family of classical games representing altruistic game play supplemented by quantum interferences. Crucial role of the entanglement in quantum strategy is illustrated by an example of quantum game representing the Bell's experiment.

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