Question: Does East remain in the same position after each game?

Answer: No, after the player in the East position rolls the dice to break the wall, they pass the dice to the player on their right. The player with the dice becomes the new East position for the next game, and they roll the dice to break the wall, continuing the rotation in this manner for subsequent games.

Source: Mah Jongg Made Easy (2020 page 9 last paragraph)