Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/58053
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Type: Journal article
Title: Quantum correlations and Nash equilibria of a bi-matrix game
Author: Iqbal, A.
Citation: Journal of Physics A: Mathematical and Theoretical (Print Edition), 2004; 37(29):L353-L359
Publisher: IOP Publishing Ltd
Issue Date: 2004
ISSN: 1751-8113
1361-6447
Abstract: Playing a symmetric bi-matrix game is usually physically implemented by sharing pairs of 'objects' between two players. A new setting is proposed that explicitly shows effects of quantum correlations between the pairs on the structure of payoff relations and the 'solutions' of the game. The setting allows a re-expression of the game such that the players play the classical game when their moves are performed on pairs of objects having correlations that satisfy the Bell's inequalities. If players receive pairs having quantum correlations the resulting game cannot be considered another classical symmetric bi-matrix game. Also the Nash equilibria of the game are found to be decided by the nature of the correlations.
Keywords: Quantum Physics (quant-ph)
Rights: © 2004 IOP Publishing Ltd. Submitted to Cornell University’s online archive www.arXiv.org in 2004 by Azhar Iqbal. Post-print sourced from www.arxiv.org
RMID: 0020096343
DOI: 10.1088/0305-4470/37/29/L04
Published version: http://arxiv.org/abs/quant-ph/0406107
Appears in Collections:Electrical and Electronic Engineering publications

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