Transitive Game

Transitive games, where the outcome of pairwise comparisons consistently determines a global ranking, are a core area of game theory research, but many real-world games exhibit non-transitive behavior. Current research focuses on developing algorithms, such as Policy Space Response Oracles (PSRO) and their variants, to efficiently approximate Nash Equilibria in these complex scenarios, often incorporating techniques like policy fusion and diversity regularization to improve performance. This work aims to improve the accuracy and efficiency of strategy rating systems beyond traditional methods like Elo, which struggle with non-transitive relationships, leading to better understanding and modeling of competitive interactions in diverse settings. The resulting advancements have implications for multi-agent reinforcement learning, competitive game analysis, and player ranking systems.