Instructions
Insert the "Bioshock" disc into your PlayStation 3. The PlayStation 3's menu will display.
Boot the game by navigating to the "Game" column and pressing "X" on the "Bioshock" icon. The game will automatically recognize that the patch has not been installed. It will then begin preparing the patch for installation.
Press "X" to install the PS3 patch for "Bioshock." The patch will take around ten minutes to install.