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.
@article{arxiv.2405.14613,
title = {Last-iterate convergence of modified predictive method via high-resolution differential equation on bilinear game},
author = {Keke Li and Xinmin Yang},
journal= {arXiv preprint arXiv:2405.14613},
year = {2024}
}