And what is the difference with a BF4 edition?
The BF4 "versions" include a copy of the game Battlefield 4. As all the clock speeds on the cards you are comparing are the same they should offer the same amount of hashing power. Differences in pricing may be attributed to:
Bundled games and software (such as BF4)
Differences in warranties
Differences in cooler design.
It may be worth paying a little more for a card with a better warranty, and cards with a better designed cooler may hash faster because they can run at a lower temperature and stay at their boosted clock speeds.