STAR Voting allows voters to find common ground as a group. In STAR voting,

Compare that to choosing only one candidate (FPTP), where

(First time on this site? Review the basics.)

Common Ground

STAR combines the two ways of finding the middle, scoring and counting by pairs. Its name is an acronym, STAR, Score Then Automatic Runoff. First voters give scores to the candidates. Then we find the top two candidates and send them to a runoff. The runoff uses the same scores but counts them by pairs for whoever each voter prefers.

Let’s see how this works in an actual election. Let’s use a range of scores from 0 to 5. Let’s also model voter behavior. We’ll get to how voters behave using strategies by the end of the page.

STAR Voting

Score from 0 to 5 and add up the scores. AND THEN take the top two and count by pairs. Use the voter dude . He's in the bottom left corner. Drag him around to see what each voter was thinking.

Demonstrate

Why does STAR voting work?

The easiest way to see how STAR allows voters to find common ground is with a Venn diagram. This isn’t just a Venn diagram, though. This is a visual representation of how voters can vote using scores. In this case, we’re just keeping it simple and using scores of 1 or 0. This simple voting method is called approval voting.

Approval Voting Venn Diagram

The voters vote for everyone close to them.  Both like C.

Demonstrate

It’s important that voters can support more than one candidate because that means two candidates can share support and could possibly work together. It also means you can always give your favorite a top score. The same is true in STAR voting.

Also, STAR works because it uses a median. A median is basically just the middle. Technically it’s the point that minimizes the total distance to all the other points. Imagine you have to pick a point for you and your friends to meet. You might like to choose the median because you’ll use less gas to get there. Check out the 2D median example below.

Median in 2D

Move some voters. Add a candidate (+). The total length of all the lines below is the sum of all the distances between the voters and the candidate or median. The median we chose here minimizes this sum. A winning candidate should also minimize this sum.

Demonstrate

See the page on finding common ground for more examples of finding the median.

How does STAR voting use a median? STAR voting is asking you whether each candidate is close to you or far from you, so you’re measuring distance and writing it on your ballot. Higher score means shorter distance.

STAR Ballots

See what the voter is thinking.

Demonstrate

STAR also works by counting by pairs. In the runoff, your support goes 100% to the candidate you like better. That means whichever candidate is closer to the middle will win. This also encourages voters to give different scores to each candidate.

Here are a few more examples of how STAR finds the middle. Also, let’s see how other voting methods that use scores find the middle, too. The only method that isn’t finding the middle is FPTP, First Past the Post, which is what we do now.

Finding the Middle

The voting methods in this family find the middle and FPTP does not. We're using a frontrunner-based strategy and getting frontrunners from polls. We'll get to this next.

Demonstrate

Finding the Middle in a Tough Situation

Again, like the above, FPTP doesn't find the middle. The voting methods in this family do find the middle. Also, voters are strategizing based on polls.

Demonstrate

Strategy

We need to now fill in a little more detail about these strategies that we’ve been using. These strategies get very detailed. Still, STAR voting is able to find the middle. The only really complicated situations involve factions playing a game of chicken. To explain the game of chicken, we have to first explain strategy.

Strategy is just how a voter decides what scores to give.

We’ll show you five strategies, and how they work in score voting and in STAR voting. Strategies are slightly different with STAR voting because STAR also uses a runoff.

First, let’s look at an example where voters try to judge candidates. This makes more sense for something like a pie-baking contest where the point is to recognize excellence. Each voter has their own taste. In our model, we visually represent taste as distance. So, basically, the voter judges the candidates based on distance, and this is really good for finding the median.

See if you notice something odd about the ballot below.

No candidates got a 5 and no candidates got a 0. This voter is giving up some of their voting power. If A loses, then they’ll wish they gave A a bigger score.

Judge Strategy

Give a score based on distance. Drag the voter and see that the circles stay the same size.

Demonstrate

Most voters will want to make sure that their ballot contains at least one candidate at the top rating and one candidate at the bottom rating. The simplest way to do that is “normalization”. That means that you give your favorite a 5, you give your least favorite a 0, and you judge the rest on that scale between 0 and 5.

This is probably the first instinct for a voter. Also, it’s the instructions for STAR voting. The ballot is labeled 0 worst - 5 best so it’s relative, not a fixed scale.

One more consideration is made in STAR voting, and this makes it different than score voting. The voter will want to avoid giving the same score to two candidates. That is an important change that can matter in the runoff.

Normalizing Strategy

Stretch your vote to the max score, 5, and the min score, 0.

Demonstrate

Voters can further maximize their vote’s effect. Voters could look at polls to see which candidates are the frontrunners and use them as the endpoints for normalization. Any candidate better would get a 5, and any candidate worse would get a 0. In other words, the scores are clipped.

Again, one more consideration is made for STAR voting as opposed to score voting. The voter strategically gives different scores to each frontrunner.

It makes more sense to use a frontrunner strategy than a normalized strategy because the voter is showing more distinction between frontrunners, where it matters.

Frontrunner Strategy

Consider polling data and stretch your vote to the max score only for the frontrunners. Push other candidates to 5 if closer, 0 if farther, and normalize in between.

Demonstrate

Risk-takers may want to only support their favorite frontrunner (and anyone better). In this way, they can show more distinction between their favorite frontrunner and the rest. This comes at a cost because they don’t distinguish between the other frontrunners, and that might matter.

STAR encourages these risk-takers to distinguish between the frontrunners so that their vote will matter in the final round.

Best Frontrunner - Optimist Strategy

Vote for the best of the frontrunners and everybody you like better.

Demonstrate

A more risk-averse voter could try to avoid the worst frontrunner by voting 100% for everyone else they feel is better.

STAR encourages these risk-averse voters to distinguish between the frontrunners without much risk.

Not the Worst Frontrunner - Pessimist Strategy

Vote at max for anybody better than the worst frontrunner.

Demonstrate

There is a whole range of strategies in between these two extremes.

We can now look back at the example of finding common ground with a little more understanding of strategies and polling. The perception of frontrunners changes a little with each poll. Even though strategies make elections more complicated, voters are still able to find common ground.

Repeat: Finding the Middle

This is the same example as before. The voting methods in this family find the middle and FPTP does not.

Demonstrate

Playing Chicken

Let’s look at a more difficult to resolve election where the voter’s choice of strategy gets more interesting.

In the example below, there are three groups of voters. Two are on one side and can win with candidate A or B if they cooperate. To make things interesting, each group has its own favorite candidate. If group A betrays group B, then A can win alone, and vice versa.

Groups A and B are playing a game of chicken. They can “swerve” and let their second-favorite win, or they can “drive straight” and either win (if the other side swerves) or crash (if the other side doesn’t).

This makes sense. If voters are willing to take a risk, then they are willing to accept the loss. Also, voters that don’t take the risk will accept a second-best outcome; at least it wasn’t the worst outcome.

Playing Chicken with Approval and Score Voting

Demonstrate

If voters play chicken and crash, they might wish they had played it safe. It’s impossible to have the foresight to know the election result ahead of time. All they can do is rely on polling to make their decision. It is their judgement of risk that leads to their decision. In a way, this perception of risk is more information that gets fed into the voting method.

STAR voting was created to address scoring strategies. It uses a final runoff where stretching your scores doesn’t matter. Voters aren’t playing the game of chicken anymore because STAR’s extra round can resolve the contention between factions.

In STAR voting, the runoff resolves the game of chicken. There is actually very little downside to giving a A a 5 and B a 1. C still gets a 0, so he’ll still lose in the final round runoff.

Not Playing Chicken with Star Voting

Demonstrate

Afterword

The major point we’ve been supporting on this page has been that STAR voting allows voters to find common ground.

We described some of the mechanics of how STAR voting works. Voters are reporting their score. Finding the candidate with highest score is equivalent to finding the candidate closest to the median.

We also described what the runoff accomplishes in STAR voting. Score voting works on the principle that the voter is assessing the risk of using a strategy. STAR voting uses additional rounds to get more information from the ballot. That encourages the voter to put more information on the ballot. The additional round also reduces the influence of polling on voter strategy and reduces the dilemmas voters face.

It’s just a smarter way to vote.

Edit this page.

SANDBOX MODE! (link to just this)

Demonstrate

From Nicky Case: One hope for Sandbox Mode is that readers can debate with me and each other using this tool! Not just telling me I'm wrong, but showing me I'm wrong. Granted, this tool is very limited – it doesn't handle strategic voting or imperfect information – but I think it's a start, and may help improve our Democratic Discourse™

From Paretoman: if you'd like your own models included here, save it, copy the saved link, and tweet it with the hashtag #smartvotesim.