That doesn't really seem possible. Equal positions could happen mid-game, but to remain equal the entire game seems impossible. First of all, odd-numbered moves like you pointed out, or ply (one side moving before the other side moves) giving one color an extra move than the other. These details would sway the advantage even if just temporarily. Chess is also currently unsolved; meaning that no computer has worked out all of the possibilities, so it wouldn't even be feasible to know how to even continue an equal position, or how that would even look.
A similar question is with optimal play from both sides, is chess a draw? This is highly debated, but it's all theoretical.
Hi folks! Anybody knows if it is possible to have absolutely equal precision of the game if both gamers didn't use any program/engine? And if it is possible, then how works the algorithm? Because if it just counts the percentage of the best moves, it is rather impossible to arrive at the same precision at the end, considering there were 33 moves, so not a short game.
Thanks in advance