Constructing quantum games from symmetric non-factorizable joint probabilities
Date
2010
Authors
Chappell, J.
Iqbal, A.
Abbott, D.
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Journal article
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Physics Letters A: General Physics, Nonlinear Science, Statistical Physics, Atomic, Molecular and Cluster Physics, Plasma and Fluid Physics, Condensed Matter, Cross-disciplinary Physics, Biological Physics, Nanosciences, Quantum Physics, 2010; 374(40):4104-4111
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James M. Chappell, Azhar Iqbal and Derek Abbott
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Abstract
We construct quantum games from a table of non-factorizable joint probabilities, coupled with a symmetry constraint, requiring symmetrical payoffs between the players. We give the general result for a Nash equilibrium and payoff relations for a game based on non-factorizable joint probabilities, which embeds the classical game. We study a quantum version of Prisoners' Dilemma, Stag Hunt, and the Chicken game constructed from a given table of non-factorizable joint probabilities to find new outcomes in these games. We show that this approach provides a general framework for both classical and quantum games without recourse to the formalism of quantum mechanics. © 2010 Elsevier B.V.
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Copyright 2010 Elsevier B.V. All rights reserved.