Hi
Welcome to the community! 
Interesting question! - SimCity Deluxe was a SimCity mobile game released in 2011, but it's not available for download anymore, and it has nothing to do with SimCity (2013), the game you are asking about.
Other editions for SimCity (2013), apart from the Standard Edition and the Digital Deluxe, are the Limited Edition, Collection Edition and Complete Edition.
Where have you seen a SimCity (2013) 'Deluxe' edition different than the 'Digital deluxe'?
-Mai