Battlefield 4 kicked by PUNKBUSTER solution!
Try manually updating punkbuster.
Go to http://www.evenbalance.com/pbsetup.php [evenbalance.com] and download pbsetup.
Run pbsetup and click 'Add Game'. Then choose Battlefield 4. It will
automatically determine the game's install directory (if it doesn't,
manually direct it).
Click 'Add Game'. Now let the update finish, and once that's done, close pbsetup and try running the game.