Difference between Battlefield 4 and Battlefield 4 Premium Edition
Battlefield 4 is the base game.
Battlefield 4 Premium is basically early access to all of the map packs that will be released. It includes the following:
- Early access (2 weeks) to 5 map packs
- Additional camos, paints, emblems, and dog tags
- Priority position in server queues
- Exclusive double XP events and weekly content updates
- 12 battle packs
Additionally, if you buy it on a console, it will carry over to the next gen (Xbox 360 to Xbox One, or PS3 to PS4).
Based on your prices and info from origin would seem like you're talking about normal battlefield 4 and battlefield 4 digital deluxe version.
Origin states that: "Digital Deluxe Edition also includes 3 Gold Battlepacks and a BF3 Vehicle Shortcut Bundle"
BUT on an another page in origin it states that you get the first expansion called china rising in the digital deluxe version and 3 gold battle packs.
battle packs are ingame unlockable items and vehicle shortcut bundle seems to unlock all the vehicle unlockables for you.
Battlefield 4 is the base game - the campaign and the multiplayer aspect. You need this to play online.
Battlefield 4 Premium does the same sort of thing as Battlefield 3 Premium - exclusive dogtags, knife, etc, with battlepacks that gives things like XP boots of 100%, 50% and 25% and access to the DLC early.
Battlfield 4 Delux edition is the game, the first DLC, and a couple of battlepacks.
I just had a look on the GameStop site and they don't appear to mention a Premium Edition.