Game Changer Silver Medal. Game Theory Strategy?

I was watching an episode of Game Changer where it was the "middle of the pack" episode, and that got me curious about the optimal strategy for it. I am unfamiliar with Game Theory but I would be interested.

Here is the premise:

1. There are three players. 2. Each turn players choose a number between 0 and 1.

3a. If all values are distinct, the player with the middle value gets 1 point.

3b. If two values are the same and one is distinct, then the player or players with the lowest value each gets 1 point.

3c. If all three values are the same, then no points are awarded

4. After N rounds, for N sufficiently large, a winner is declared:

5a. If all three point totals are distinct, the player with the middle number of points is the winner.

5b. If two point totals are the same and one is distinct, then the player or players with the lowest point total win.

5c. If all three players have the same number of point, everyone loses.

What is the optimal strategy? Is there an optimal strategy? What other information can be derived from this?