When you see the end screen after the game is over and you want to make a new one with the same players, you should click on the green button in the middle.

Accordingly, the same icon below your account will light up. If each player does this, a new game will start.

If one of the players doesn't want to go out, you will see an "X" under his picture. This means that you can't replay the game with the same players.