In terms of Processor capability, as detectable to/by a casual user? Little or none. AMD have a better integrated graphics chip. So all else being equal, I would tend to buy an AMD laptop if gaming is something you do on a regular basis... Though if you're a serious gamer, pointing out one is better than the other is pretty much like comparing a Diseased Rat sandwich versus a Roadkill~Deer~burger. You really, *really* don't want either one, but if someone held a gun to your head, then Roadkill it is!
<vacates this thread before the Intel/AMD fanboys turn it into yet another on a long stream of asinine arguments>