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Type: Journal article
Title: Analyzing three-player quantum games in an EPR type setup
Author: Chappell, J.
Iqbal, A.
Abbott, D.
Citation: PLoS One, 2011; 6(7):1-11
Publisher: Public Library of Science
Issue Date: 2011
ISSN: 1932-6203
Statement of
James M. Chappell, Azhar Iqbal and Derek Abbott
Abstract: 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.
Keywords: Models, Theoretical; Game Theory; Games, Experimental
Description: Extent: 11p.
Rights: Copyright: © 2011 Chappell et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
RMID: 0020111529
DOI: 10.1371/journal.pone.0021623
Appears in Collections:Electrical and Electronic Engineering publications

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