Hwang, Sung-Ha; Rey-Bellet, Luc - Research Institute for Market Economy, Sogang University - 2011
We introduce several methods of decomposition for two player normal form games. Viewing the set of all games as a vector space, we exhibit explicit orthonormal bases for the subspaces of potential games, zero-sum games, and their orthogonal com- plements which we call anti-potential games and...