Analyzing three-player quantum games in an EPR type setup.
basic_science · Level V
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- Record sourced from PubMed, PMID 21818260.
- Also identified by DOI 10.1371/journal.pone.0021623 and PMC identifier PMC3684796.
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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.