A voting method requiring the voter to numerically rank, n candidates on a ballot; programming a computer to tally the number of 1'st priority votes for each candidate and then eliminate one candidate having the least number of 1'st priority votes, and then to recast the eliminated votes based on the 2'nd priority; if the number of remaining candidates n is ≧3 then the computer is to again eliminate the candidate which has the least number of votes, including recast votes; whereafter the computer is to recast the votes assigned to the eliminated candidate, based on the ballot priority choices, and using a highest priority choice for the each voter to reassign his vote to one a remaining candidate; reiterating the immediately prior step until the number of remaining candidates is reduced to 2. The one candidate having the most initial and subsequently recast votes is determined the winner.