Analyzing Three-Player Quantum Games in an EPR Type Setup

James M Chappell, Azhar Iqbal and Derek Abbott

PLOS ONE, 2011, vol. 6, issue 7, 1-11

Abstract: 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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0021623

DOI: 10.1371/journal.pone.0021623

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