Same votes, different winners

Nine friends are choosing dinner: ๐Ÿ• pizza, ๐Ÿœ Thai or ๐Ÿฃ sushi. Change how each one feels, and see who wins under each way of voting. The counting is the same code that counts every TallyLab poll.

Try an example:

Pizza beats Thai, Thai beats sushi, and sushi beats pizza, each 6 to 3. No option is the group's favorite, so every method has to break a tie: ranked choice for last place, the others for first. The Marquis de Condorcet noticed this in 1785; it's the puzzle behind Arrow's theorem, which shows that no ranked voting method can be fair in every way at once.

Who wins

The same votes give two different winners. Pick a method to see how it counts.

How STAR counts

More โ†’

Each friend gives every option 0 to 5 stars. The two with the most stars go to a runoff, won by the one more friends gave more stars.

Here, each friend gives their favorite 5 stars, others they're happy with 3, and the rest 0.

Pizza ยท finalist 15 stars
Thai 15 stars
Sushi ยท finalist 15 stars

Pizza, Thai and Sushi tied on stars. A fixed random draw sent Pizza and Sushi to the runoff.

Runoff: 3 friends prefer Pizza, 3 prefer Sushi, 3 like both the same. A tie all round, so a fixed random draw picked Pizza.

Head to head

For each pair, how many friends rank one above the other.

  • Pizza beats Thai, 6 to 3
  • Sushi beats Pizza, 6 to 3
  • Thai beats Sushi, 6 to 3

No option beats both others one on one: they go round in a loop.

The nine friends

Each friend's ranking, from favorite to least favorite.

Friend Ranking Happy with Feels strongly
1
2
3
4
5
6
7
8
9

Happy with is how far down their ranking a friend would still be glad to go; it's what they tick in an approval poll, and the options they give 3 stars in STAR. Feels strongly only changes quadratic voting, where friends can show how much they care.

Try it with your own group

Make an approval or ranked choice poll in a minute and share the link. Free, no sign-up.