Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/70596
Citations
Scopus Web of Science® Altmetric
?
?
Type: Journal article
Title: Analysis of two-player quantum games in an EPR setting using Clifford's geometric algebra
Author: Chappell, J.
Iqbal, A.
Abbott, D.
Citation: PLoS One, 2012; 7(1):e29015-1-e29015-8
Publisher: Public Library of Science
Issue Date: 2012
ISSN: 1932-6203
1932-6203
Statement of
Responsibility: 
James M. Chappell, Azhar Iqbal and Derek Abbott
Abstract: The framework for playing quantum games in an Einstein-Podolsky-Rosen (EPR) type setting is investigated using the mathematical formalism of geometric algebra (GA). The main advantage of this framework is that the players' strategy sets remain identical to the ones in the classical mixed-strategy version of the game, and hence the quantum game becomes a proper extension of the classical game, avoiding a criticism of other quantum game frameworks. We produce a general solution for two-player games, and as examples, we analyze the games of Prisoners' Dilemma and Stag Hunt in the EPR setting. The use of GA allows a quantum-mechanical analysis without the use of complex numbers or the Dirac Bra-ket notation, and hence is more accessible to the non-physicist.
Keywords: Computer Simulation; Models, Theoretical; Algorithms; Game Theory; Quantum Theory
Rights: Copyright: © 2012 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: 0020116225
DOI: 10.1371/journal.pone.0029015
Appears in Collections:Electrical and Electronic Engineering publications

Files in This Item:
File Description SizeFormat 
hdl_70596.pdfPublished version198.29 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.