I have a rope object I'd like to be stuck at a wall at one end and to a horse head the other end. When doing a cloth simulation it should follow the horse head animation. 

It sticks to the horse but refuses to stick to the wall (or any other character or object). I have tried the constraints but it doesn't help.

Can this be done?
I have tried loads of approaches to be able to solve this, for example I hoped PoserPhysics would do it, besides being an absolute brilliant tool, but it can not.