I've personally never seen a use for a large fixed blade (over 5" blade) or a small hatchet while camping. I stick with the combination of axe and small knife.
If you're doing the park-and-camp thing you might want to bring a chainsaw, or if you want to hike a bit and carry your gear then a pocket chainsaw would work. An axe is much more versatile though: you can choke up on it to chop tent pegs, make a spear, etc. However, it's certainly possible to get by without either an axe or a chainsaw as you can just break up dead branches on the ground for firewood.
Strangely, I don't see much use in the large fixed-blade "camp" knife. It would be good for clearing brush, but other than that, I don't see any cases where the axe/knife combination can't perform the same task. If you're in a situation where you're going to be doing a great deal of hiking and you have to carry all of your gear, you might want to consider carrying a single large fixed blade to save weight, but I think that the benefits of the axe/knife combo supersede the weight disadvantages.
Regardless, if you're a knife nut, you'll probably bring a ton of knives. If you own large fixed blades, you might as well bring them camping because that's one of the only times you can actually use them. Plus, it's just a lot of fun to run around with a huge knife strapped to your side.
[This message has been edited by cerulean (edited 05-10-2000).]