Earlier quoted context omitted.
perhaps the best thing to do is to flip a coin Or have a runoff election, or have instant-runoff voting. Having elections determined by real or statistical coin-flips undermines the (important) story of self-rule.
You can't get rid of edge cases by moving the edge.
http://news.bbc.co.uk/1/hi/uk_politics/election_2010/england...
The candidates agree, and the winner and loser both accept the outcome, works for me.