How can adding a candidate change who wins?
An election result can change without anyone changing their mind about the original candidates. Under plurality voting, each ballot counts only for its first available choice. Add another candidate and some votes move to that option, potentially changing which of the original two finishes ahead. A small fictional election makes the rule’s role visible.
Questions you could explore
- What must remain fixed in voters’ rankings for the example to show a candidate-list effect?
Start reading
- OpenStax, Contemporary Mathematics11.2 Fairness in Voting Methods
The irrelevant-alternatives section asks whether changing the candidate list can change a winner even when relative preferences are unchanged.
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