Bionic Commando Rearmed 2 requires a constant internet connection to PSN, and this is not for online play, but for DRM.
This isn't the first time Capcom installed this anti-sharing measure in a PlayStation Network game. Final Fight: Double Impact had the copy protection. Capcom apologized for it, but not for including the DRM, but for not warning gamers that that sort of DRM was included.
Capcom this time is giving users fair warning:
"NOTE: You must log-in to the PlayStation Network each time to play the game."
Keep in mind, Bionic Commando Rearmed 2 has no online multiplayer whatsoever. Don't be surprised if while you're playing the game suddenly kicks you out because your connection wavers, as many who played Command & Conquer 4 on the PC a while ago.