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Abstract: We use the formalism of Clifford Geometric Algebra GA to develop ananalysis of quantum versions of three-player non-cooperative games. The quantumgames 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 themixed-strategy version of the classical game that is obtained as a propersubset of the corresponding quantum game. Using GA we investigate the outcomeof a realization of the game by players sharing GHZ state, W state, and amixture of GHZ and W states. As a specific example, we study the game ofthree-player Prisoners- Dilemma.



Author: James M. Chappell, Azhar Iqbal, Derek Abbott

Source: https://arxiv.org/



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