Analyzing three-player quantum games in an EPR type setup

Details Analyzing three-player quantum games in an EPR type setup Analyzing three-player quantum games in an EPR type setup

2010-08-27

arxiv.org/abs/1008.4689v4

PLoS ONE, Volume 6(7): e21623, (2011)

Physics

Quantum Physics

21 pages, 3 figures

Scientific paper

10.1371/journal.pone.0021623

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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