There is no such thing as a hidden permission. If they app version is the same, both the desktop and mobile markets will show the same permissions. The reason Google requires apps to list permissions is to ensure as much transparency as possible. If you were to check the app on your phone, I'm sure it would say the same ones.
I typed the above out before checking the market, but wanted to leave it for emphasis. You are correct. It does NOT show up when checked in the play store. I have no clue why. I have never even seen that permission listed. I can't even find it in the Android manifest list of permissions.....
That being said, Glu is developer that has problems accurately documenting their permissions, IMO. I have made it a point to never download any of their games because of it. Sadly, most Android users are not like us. Most people don't know what permissions are, and don't check them.
I'm going to do a bit more digging and try to find out where that permission comes from....
The Commandments of Android
1) Open RAM is wasted RAM - Don't use Task Killers
2) Cheap devices are cheap for a reason. Don't expect high end performance.
3) Boot Loop = Wipe.
4) There are no viruses for android.