There are three factors to consider as a leader of a team participating in a game.
1) The leader cannot choose whether the game is finite or infinite
2) The leader has to decide whether to take part in the game or not
3) Once the leader decides to join the fame , he/she has to decide whether to play with a finite mindset or an infinite mindset.
Depending on the mindset the corresponding game would be played.
Simon Sinek mentions this in “The Infinite Game”