Favorite Ice Cream Flavor Election Results

Winner: Butter Pecan

Rounds Slider

Butter Pecan5151352820548175659574105841159543638167805
Mint Chocolate Chip23028258122702529526321463674140887495241736
Cookies and Cream13751421215421175652402726784351139490-4900
Chocolate Brownie139191581517314187202071722464288-288000
Chocolate Peanut Butter12231251413991481316144205-20500000
Cookie Dough1143117712417141-141000000000
Salted Caramel983101-1010000000000000
Rocky Road82-82000000000000000
Inactive Ballots0.000003.000006.0000010.0000012.0000019.0000024.0000043.00000125.00000
  • Use of mathematical tie-breaker formula - weights voter preferences from before rounds are calculated
  • Use of random tie-breaker – because mathematical tie-breaker formula resulted in a tie
1st ch2nd ch3rd ch4th ch5th ch6th ch7th ch8th ch9th ch10th ch
Butter Pecan5151088560637587116124186
Mint Chocolate Chip23046515999857072699496
Rocky Road821543761281241301231128757
Chocolate Brownie139158199379139106108726433
Salted Caramel98139145150314120971069370
Cookie Dough114153141192141124278784432
Cookies and Cream1371681711541391151082605130
Chocolate Peanut Butter12211095821099811613029488
Total Choices1666162015861458134312151163113811151078

RCV123 on-line system handles ties among candidates facing elimination differently than any official RCV systems. (Other than tie-breaking, we use the WIGM RCV system that is the standard counting method.)

We vary from official RCV for tie-breaking because in elections with thousands or hundreds of thousands of voters, ties are very unlikely. But our mission is to make RCV helpful to anyone who wants to make a group decision – including smaller groups with perhaps only 25 voters in a classroom or small civic organization. In a small group election with five candidates and 20 voters, for example, there are very likely to be several ties as the rounds progress.

Official RCV uses random chance to settle any ties. We believe it would be unsatisfying for small voting groups to find that much of the outcome was determined by random chance.

So we developed a unique tie-breaking system that calculates a single number for each candidate based on their vote totals and the choice column they are in. The candidate with the highest tie-breaking number wins that tie. If that tie-breaker number winds up in a tie, then RCV123 resorts to random chance.

Each first-choice vote is worth 100, and each subsequent choice is worth 2/3 (.67) of the previous choice on a ballot. Then all the votes and weighting for each candidate in each column are totaled to determine an overall tie-breaker number. So in our method, for example, three 2nd place votes are worth very slightly more than two 1st place votes. But it would take 37 10th place votes to have the same weight as one 1st place vote.

Our tie-breaking method looks at all choice data from every ballot. This is different from the rounds of counting - which only looks at the data from each round as it is calculated. For example, in actual rounds of counting, a candidate with zero first-choice votes will be eliminated right away, and any 2nd or 5th or 10th place votes they may have does not matter at all.

If two candidates facing elimination have a tie, and have identical tie-breaker numbers, then RCV123 will use random chance to decide. We create a grid of randomly decided, head-to-head tie-breaking match-ups for each combination of candidates. That grid can be found on the results page of any election.

The use of the mathematical tie breakers will be noted in election results with a blue rectangle over vote totals in that round for the candidates involved. The use of the last-resort, random tie breaker will be noted by the color green.

We believe our tie-breaking system is a good compromise between not weighting the choice column of votes at all, and excessively weighting one choice column vs. another immediately adjacent.

This table shows the primary tie-breaker calculation. It starts with the raw ballot data from before any rounds were tabulated.

The total of all voter 1st choices for a candidate is multiplied by 100. Each successive set of total choices for a candidate ( 2nd, 3rd, 4th etc.) is assigned 2/3 (.67) of the weight given to the previous column of choice totals. Then all the columns are added together to arrive at a tie-breaker number for each candidate.

1st chx 1.002nd chx 0.673rd chx 0.454th chx 0.305th chx 0.206th chx 0.147th chx 0.098th chx 0.069th chx 0.0410th chx 0.03Candidate Tie-Breaker Number
Butter Pecan515515.0010872.368538.166018.056312.697510.13877.871167.031245.031865.06691.37
Mint Chocolate Chip230230.00465311.5515971.389929.788517.13709.45726.51694.18943.82962.61686.40
Rocky Road8282.00154103.18376168.7912838.5012424.9913017.5512311.131126.79873.53571.55457.99
Chocolate Brownie139139.00158105.8619989.33379113.9913928.0110614.311089.77724.36642.60330.90508.13
Salted Caramel9898.0013993.1314565.0915045.1131463.2712016.20978.771066.42933.78701.90401.68
Cookie Dough114114.00153102.5114163.2919257.7514128.4112416.7427825.15784.73441.79320.87415.23
Cookies and Cream137137.00168112.5617176.7615446.3213928.0111515.531089.7726015.76512.07300.82444.58
Chocolate Peanut Butter122122.0011073.709542.658224.6610921.969813.2311610.491307.8829411.94882.39330.90
Total Choices1666162015861458134312151163113811151078

In the event our primary tie-breaking system can’t settle a tie among candidates with exactly the same number of votes and set of choice preferences, we have the computer generate a random list of all candidates. That order determines who will win any ties of the primary system.

Butter Pecan10
Mint Chocolate Chip8
Rocky Road9
Chocolate Brownie5
Salted Caramel4
Cookie Dough1
Cookies and Cream2
Chocolate Peanut Butter6