At the moment, we do not have multiplayer game modes. The only feature for comparison with other players is accessible from the "Tournament" button (on the game's homepage).
This is a permanent ranking based on the number of stars collected since the beginning of the game. The service is managed by Google Play Services (on Android) and Game Center (on iOS). You will need an internet connection to access it.
However, we are actively working on setting up real weekly leagues and tournaments. Please check our updates regularly to keep up to date!