Math · Intermediate · Lesson 3 of 7
Instant Runoff
Ranked ballots and a strange paradox
An interactive lesson with 7 steps, about 6 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.
What you’ll learn
- IRV eliminates the last-placed candidate and transfers ballots.
- It can fail monotonicity: more support can make a candidate lose.
- It can eliminate a Condorcet winner with few first preferences.
Steps
- Eliminate and transfer
- Watch the count
- Run the count
- More support, fewer wins?
- Burlington, 2009
- Transfers decide
- A cycle in disguise