A better way of electing politicians

The real problem is choice. Democracy should not be a simple right left
thing with just 2 partys. In the Ireland (south) system, in an election a
voter has the choice between say 3 republicans, 3 democrats, a green, and
one or 2 from other partys.  And we dont put x beside a particular
candidate. We are educated and can count so we put 1 beside the favorite, 2
beside the second favorite and so forth.  Using a relatively simple
mathematical system, we count out the votes and when a candidate reaches
his quota, he or she is deemed elected. we elect 3 4 or 5 from an
electoratal area.
All counting is by hand (Counting by machine is never allowed) and officials
from the partys and the public are allowed and encouraged to watch(to
assure confidence in the system) Competition between and within partys for
the spoils keeps the partys honest. You cannot impose a guy that the locals
hate in this system. They will just vote for the other guy. This system
gives great statistical information to the partys so they can change their
polocys to diliver what the electorate want. It is a true free market
system! The consumer has plenty of nuances to choose from both within and
between partys.
Not like the American system where the 2 leading brands are locked in an
unbreaking (and unbreakable) monoploy.
Brian White