View AbstractAbstract: This talk will focus on the quantum strategy formalism proposed by Gus Gutoski and John Watrous. In this new formalism, the strategy of each participant in any multi-party interaction is associated with a positive semidefinite operator, and the interaction output probability is given by the inner product of two such operators. The first part of the talk discusses basic notions of quantum strategy formalism, with occasional detour to quantum information preliminaries.
 J. Watrous, The Theory of Quantum Information, https://cs.uwaterloo.ca/~watrous/TQI/.
 G. Gutoski and J. Watrous, Toward a general theory of quantum games.
 G. Chiribella, G. M. D'Ariano, and P. Perinotti, Theoretical framework for quantum networks.