You can play Real Mahjong either with other people or 'solo'. In a solo game Real Mahjong automatically supplies three 'virtual players' so in most ways it's just like playing with three other people.
To start a solo game just click the 'Solo' button at the bottom of the Control Centre. The game then starts automatically. At the end of each hand there's a short delay to give you time to take a look at the scorecard and the other players' tiles, and then the next hand starts automatically, rotating winds as necessary. If you do not want to play another hand just select 'Leave game' from the 'Game' menu.
If a solo hand is wahed out it is simply replayed, but Goulash rules are not applied, as they would be in a full game. This may change in a future version.