Ranked Choice picks one winner. Voters can rank as many options as they like.
For several winners, use Vector Voting or Approval.
About the maths
The mathematically grounded way to make your opinions count.
- Your ballot is a vector. Each option is a direction, and each slider is how far your ballot points that way.
- Influence limits the vector's length. With quadratic cost, every score squared and added up can't exceed 100 × your influence: the Pythagorean theorem, in as many directions as there are options. You choose where your arrow points; your influence sets how long it can be.
- Results add the vectors. Everyone's scores are summed, so the result is the group's combined vector: where the room points, and how strongly.
With two options and 100 influence, every ballot that spends it all ends on the circle:
one option pushed all the way, or about 71 on each. Linear cost limits the "city-block" length instead
(how far each slider moves, added up).
Quadratic cost is quadratic voting, developed by economists E. Glen Weyl and
Steven P. Lalley. "Halfway costs 25, all the way costs 100" is the same maths in friendlier units.