It doesn't work like that because the European "Parliament" is a joke. For starters, they can't initiate anything, they can only approve or reject (of course that it's almost always approve) stuff that is being passed to them from higher up, most of the times from the European Commission, if I'm not mistaken. Ah, they can pass/generate "resolutions", which are basically empty words put on a piece of paper.
Second, the people there don't "represent" anyone, at most they represent the political parties that have put them on the lists that got them into the European Parliament, but that's it.