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arXiv · 1005.5262

Constructing quantum games from symmetric non-factorizable joint probabilities

James M. Chappell·Azhar Iqbal·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.

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BibTeXRIS

James M. Chappell, Azhar Iqbal, Derek Abbott. 2010-05-28. Constructing quantum games from symmetric non-factorizable joint probabilities. https://doi.org/10.1016/j.physleta.2010.08.024

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