When it comes to jumping, i don't really need a dedicated button with which i can make my character jump. But, i do find it annoying that i can't jump off a small ledge and thus need to walk a long way around in order to get to the place i need to be.

If you add an A.I. which will trigger a jump-event when you get close to an edge, it might generate a lot of frustration for people who want to stand close to an edge and not automatically jump off. But, if you implement it in a way that you need to "push" yourself off the edge in order to jump (like walking through a npc or a pc), you would still be able to stand on the edge without automatically jumping off.

But... I'll wait and see what SE's view is on that subject.