A quantum approach to static games of complete information

We extend the concept of a classical two-person static game to the quantum domain, by giving an Hilbert structure to the space of classical strategies and studying the Battle of the Sexes game. We show that the introduction o f entangled strategies leads to a unique solution of this game. (C) 2000 Pu blished by Elsevier Science B.V. PACS: 03.65.-w; 03.65.Bz.