Erm monster, you're barking up the wrong tree here.
When you're doing nothing with the prisoners who are inside the cage, then yes, you're not playing any games with them. As soon as you tell them to do a lj competition, last/first reaction or any other game from the games list, you're playing games with them.
The reason I said that you're barking up the wrong tree, is because I wrote that rule, so I know pretty damn well what that rule means, OK?