It is difficult to determine the best strategist in Game of Thrones as it heavily depends on individual playstyles, alliances, and random factors that influence each game. However, characters like Tyrion Lannister and Petyr Baelish are often recognized for their cunning and tactical acumen. Tyrion's intelligence enables him to outmaneuver his opponents both politically and militarily, while Baelish's talent for manipulation allows him to exploit the weaknesses of others. Ultimately, the best strategist is subjective and can vary from one playgroup or game session to another.