Constructing quantum games from symmetric non-factorizable joint probabilities

Constructing quantum games from symmetric non-factorizable joint probabilities 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physics Letters A Elsevier

Constructing quantum games from symmetric non-factorizable joint probabilities

Physics Letters A, Volume 374 (40) – Sep 6, 2010

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Publisher
Elsevier
Copyright
Copyright © 2010 Elsevier B.V.
ISSN
0375-9601
D.O.I.
10.1016/j.physleta.2010.08.024
Publisher site
See Article on Publisher Site

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.

Journal

Physics Letters AElsevier

Published: Sep 6, 2010

References

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