Analysis of two-player quantum games in an EPR setting using geometric algebra

Details Analysis of two-player quantum games in an EPR setting using geometric algebra Analysis of two-player quantum games in an EPR setting using geometric algebra

2010-07-08

arxiv.org/abs/1007.1332v5

PLoS ONE, Volume 7(1): e29015 (2012)

Physics

Quantum Physics

20 pages, no figure, revised

Scientific paper

10.1371/journal.pone.0029015

The framework for playing quantum games in an Einstein-Podolsky-Rosen (EPR) type setting is investigated using the mathematical formalism of Clifford geometric algebra (GA). In this setting, the players' strategy sets remain identical to the ones in the classical mixed-strategy version of the game, which is then obtained as proper subset of the corresponding quantum game. As examples, using GA we analyze the games of Prisoners' Dilemma and Stag Hunt when played in the EPR type setting.

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