All your purchases are connected to your Apple ID. iTunes Store remembers your purchases and it won't let you buy one and the same app twice.
However, most of our games have two different versions (or two apps) on the iTunes Store: free and paid.
- Free - Trial - You can download it before you buy it. You can buy (unlock) it from within the app.
- Paid - Full – You can't download it unless you buy it.
So it could happen that you bought both apps, which means you bought one and the same game twice. In this case you need to contact the App Store Support team for the refund of one of the apps. Only they can issue refunds for the iTunes Store purchases.