RT Monograph SR 00 A1 Ruszczynski, A. T1 A Partial Regularization Method for Saddle Point Seeking YR 1994 FD 1994-03 SP 10 AB This article generalizes the Nash equilibrium approach to linear programming to the saddle point problem. The problem is shown to be equivalent to a non-zero sum game in which objectives of the players are obtained by partial regularization of the original function. Based on that, a solution method is developed in which the players improve their decisions while anticipating the steps of their opponents. Strong convergence of the method is proved and application to convex optimization is discussed. PB WP-94-020 PP IIASA, Laxenburg, Austria AV Published LK https://pure.iiasa.ac.at/id/eprint/4189/