I still have a problem with taking the human/political element (discussion, negotiation, bargain, compromise, leadership) out of the process and letting an algorythm decide automatically.
There should be a run-off, like in the French presidential elections, where the second round includes only two candidates - being the ones with most votes in case of a 3-3-1 first round, and requiring 1 of the 3 to withdraw in case of a 2-2-2 tie or 3-2-2 vote.
Thank God, all this will become irrelevant once we we (hopefully!) decide to have the Chancellor be directly elected by our citizens.