In the paper, a theoretical and practical study of the methods for data parallelization on HPC systems and a large class of decision-making problems in conditions of risk and uncertainty, based on game theory are presented. We will present a parallel algorithm for solving bimatrix games divided into blocks of submatrices using the 2D-cyclic algorithm. The proved theorems represent the basis on which the solution of the bimatrix game can be constructed using the solutions of the subgames generated by the 2D cyclic matrix distribution algorithm.