  This paper discusses the convergence of the modified predictive method (MPM)
proposed by Liang and stokes corresponding to high-resolution differential
equations (HRDE) in bilinear games. First, we present the high-resolution
differential equations (MPM-HRDE) corresponding to the MPM. Then, we discuss
the uniqueness of the solution for MPM-HRDE in bilinear games. Finally, we
provide the convergence results of MPM-HRDE in bilinear games. The results
obtained in this paper address the gap in the existing literature and extend
the conclusions of related works.
