{ "id": "quant-ph/0207012", "version": "v4", "published": "2002-07-02T11:36:19.000Z", "updated": "2008-09-19T16:02:47.000Z", "title": "Efficiency and formalism of quantum games", "authors": [ "Chiu Fan Lee", "Neil Johnson" ], "comment": "10 pages. Efficiency is explicitly defined. More discussion on the connection of quantum and classical games", "journal": "Phys. Rev. A 67, 022311 (2003)", "doi": "10.1103/PhysRevA.67.022311", "categories": [ "quant-ph" ], "abstract": "We pursue a general theory of quantum games. We show that quantum games are more efficient than classical games, and provide a saturated upper bound for this efficiency. We demonstrate that the set of finite classical games is a strict subset of the set of finite quantum games. We also deduce the quantum version of the Minimax Theorem and the Nash Equilibrium Theorem.", "revisions": [ { "version": "v4", "updated": "2008-09-19T16:02:47.000Z" } ], "analyses": { "keywords": [ "efficiency", "nash equilibrium theorem", "finite quantum games", "minimax theorem", "quantum version" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. A" }, "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }