You are proposing a Borda system. The problem with Borda is the effect of "tactical voting" which would encourage people to not vote how they truly feel, in ord

You are proposing a Borda system. The problem with Borda is the effect of "tactical voting" which would encourage people to not vote how they truly feel, in order to obtain their desired outcome. A better method would be a selection method where a voter can select multiple candidates (one or many).