[sam h]

I can't remember the details, but some city tried a voting system similar to what you are proposing once. It was an election for city council or something where the 5-6 highest finishers would get seats. They tried to implement a system where you could vote for five different people or allocate those five votes among only a few candidades, such as voting five times for the same person (From what I remember, it was seen as a way to improve the chances of minority candidates getting elected). In the end, it was found by the Supreme Court to be an unconstitutional violation of the principle of one man one vote.