English

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

Quantum Physics 2012-02-13 v5

Abstract

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.

Keywords

Cite

@article{arxiv.1007.1332,
  title  = {Analysis of two-player quantum games in an EPR setting using geometric algebra},
  author = {James M. Chappell and Azhar Iqbal and Derek Abbott},
  journal= {arXiv preprint arXiv:1007.1332},
  year   = {2012}
}

Comments

20 pages, no figure, revised

R2 v1 2026-06-21T15:45:53.882Z