Mastering Nim Game Strategy: Optimal Tactics and Winning Chances for 3 Players

[unscientific]

Good day guys.

Q1: I was wondering if there is any optimal strategy for Player 1 in a 3-pile 3 player nim game?

Q2: If Player 1 and Player 2 cooperates and finishes of Player 3, who stands a higher chance of winning? Player 1 and Player 2? And Why?

Q3: Is there a strategy when Player 1 and Player 2 cooperate for Player 1 to win most of the time and why?

 

[CRGreathouse]

What have you tried so far? Where are you stuck?

 

[unscientific]

We have no ideas..we only know the optimal strategy for a 2 plaer nim..where player 1 will win when the game starts with a nim sum of non-zero and ends his turn with a nim sum of zero.