He paid for Limewire.
4 things
1. this sounds fishy. these programs, like Limewire and Kazaa, generally come in 2 versions: one that is ad-supported and infects the user's pc with spyware, and one that the user pays for, which has no ads, faster downloads and some extra perks. IF he did pay for the Limewire program, that doesn't necessarily make the content he downloaded legal.
2. many filesharing programs have both legal and illegal files in their databases. the vast majority of cases are just guys that make a copy of the software and put it out for others to take. in an attempt to widdle away at the profit losses, some companies started offering their content for sale on these programs. the desired result is that when a Limewire user types in "Coldplay" looking for a cd to download, he'll see all the "free" (read: illegal) album downloads underneath the ones they have to pay $10 for, to remind them, if they didn't already know, that they do actually have to pay for stuff.
3. if we suppose he did pay for the premium Limewire software, that doesn't mean that anything he used it for was legally acquired. this is like if you went to Best Buy, and a guy was standing out front and said, "the store is empty right now. give me $10 and i'll let you come in and take anything you want, it's free!" in court, your argument that you did, in fact, pay a guy $10 for access to the store doesn't make your stealing any less illegal.
4. one thing i didn't consider, though, is if the games in question are demos. most game companies these days offer free demo versions of their games for download on all the big filesharing sites. if these games are just demos, then there's nothing to worry about.