title: Analyzing three-player quantum games in an EPR type setup.
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.
authors.affiliation: School of Chemistry and Physics, University of Adelaide, Adelaide, South Australia, Australia. james.m.chappell@adelaide.edu.au
authors.forename: James M
authors.initials: JM
authors.lastname: Chappell
authors.forename: Azhar
authors.initials: A
authors.lastname: Iqbal
authors.forename: Derek
authors.initials: D
authors.lastname: Abbott
mesh_terms: D005716:Game Theory; D005717:Games, Experimental; D008962:Models, Theoretical