  We present an alternative voting system that aims at bridging the gap between
proportional representative systems and majoritarian, single winner election
systems. The system lets people vote for multiple parties, but then assigns
each ballot to a single party. This opens a whole range of possible systems,
all representative. We show theoretically that this space is convex. Then among
the possible parliaments we present an algorithm to produce the most
majoritarian result. We then test the system and compare the results with a
pure proportional and a majoritarian voting system showing how the results are
comparable with the majoritarian system. Then we simulate the system and show
how it tends to produce parties of exponentially decreasing size with always a
first, major party. Finally we describe how the system can be used in a context
of a parliament made up of two separate houses.
