Monotone Operator Methods for Nash Equilibria in Non-Potential Games
  We observe that a significant class of Nash equilibrium problems in non-potential games can be associated with monotone inclusion problems. We propose splitting techniques to solve such problems and establish their convergence. Applications to generalized Nash equilibria, zero-sum games, and cyclic proximity problems are demonstrated. 
Luis M. Briceno-Arias and Patrick L. Combettes
math.OC