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.Comment: 21 pages, 3 figure

Abbott, Derek

Chappell, James M.

Iqbal, Azhar

PLoS ONE

English

arXiv

James M. Chappell

Azhar Iqbal

Derek Abbott

Crossref

Analyzing Three-Player Quantum Games in an EPR Type Setup

Chappell James M.

Iqbal Azhar

Abbott Derek

Public Library of Science (PLOS)

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

James M Chappell

Directory of Open Access Journals

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

Extent: 11p.We use the formalism of Clifford Geometric Algebra (GA) to develop an analysis of quantum versions of three-player noncooperative 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.James M. Chappell, Azhar Iqbal and Derek Abbot

Chappell, J.

Iqbal, A.

Abbott, D.

Adelaide Research & Scholarship

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Analyzing three-player quantum games in an EPR type setup

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