Which iOS version are you targeting?
- If you're targeting iOS 5:
I don't know the architecture of your app but according to your description, the autoresizingMask and/or autoresizesSubviews property of your games "container view" may not be set correctly.
- If you're targeting iOS 6 only:
If you're using the "Auto Layout" feature already, then probably check out the following guide.
Either way check out the View Programming Guide for iOS on auto resizing etc.