First solution: second ballot If no candidate gets a majority of votes at an election, hold a second election between the top two candidates If no candidate gets a majority of votes at an election, hold a second election between the top two candidates To continue the example, after the first election: To continue the example, after the first election: Y gets 45 votes (plurality winner, but no majority; Y goes to next round of elections) Z gets 40 votes (2 nd most votes, and Z goes to next round of elections) X gets 15 votes (fewest votes; X is excluded)
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