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arXiv:quant-ph/0208075 · Physics Letters A

Cooperative three- and four-player quantum games

Ying Jun Ma, Gui Lu Long, Fu Guo Deng, Feng Li, Sheng-Xing Zhang

Published Aug 1, 2002• 10 citations
arXivHTMLPDF
DOI
10.1016/s0375-9601(02)00989-1

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We use the formalism of Clifford Geometric Algebra (GA) to develop an analysis of quantum versions of three-player non-cooperative games. The quantum games we explore are played in an Einstein-Podolsky-Rosen (EPR) type setting. In this setting, the players' strategy sets remain identical to the ones in the mixed-strategy version of the classical game that is obtained as a proper subset of the corresponding quantum game. Using GA we investigate the outcome of a realization of the game by players sharing GHZ state, W state, and a mixture of GHZ and W states. As a specific example, we study the game of three-player Prisoners' Dilemma.
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