Earlier quoted context omitted.
New games start 10 seconds after the leaderboard first shows and we pretty much have to hide the leaderboard right then and there. Since it's all real-time against the world, every game runs at the same time, so there's no real choosing when to start a new one.
It would be great if I could look at the board for some more time and maybe choose to skip a game.
I added an option to keep the leaderboard window open.