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Favorite Ice Cream Flavor (Sample Ballot)


Winner: Cookies and Cream

Rounds Slider

Anyone can vote

R1R2R3R4R5R6R7R8R9
Cookies and Cream2523428682942832241363924551946492599085131421
Butter Pecan87115886189041291644960389982910278311102581368
Mint Chocolate Chip388304185347134505365419763873711157868-8680
Chocolate Brownie253182714932050370574275548275557-557000
Cookie Dough2321524712259392984934740387-38700000
Coffee23615251152662829438332-3320000000
Salted Caramel195262212124229271-271000000000
Chocolate Peanut Butter20992189227-22700000000000
Rocky Road17913192-1920000000000000
Strawberry177-177000000000000000
 
Total299229902983297629702960294428862789
Inactive Ballots0.000002.000009.0000016.0000022.0000032.0000048.00000106.00000203.00000
  • Use of mathematical tiebreaker formula - weights voter preferences from before rounds are calculated
  • Use of random tiebreaker – because mathematical tiebreaker formula resulted in a tie
1st ch2nd ch3rd ch4th ch5th ch6th ch7th ch8th ch9th ch10th ch
Butter Pecan871161148115117128161216249353
Mint Chocolate Chip388804266198158144121123182196
Rocky Road179250671210230217219221155114
Chocolate Brownie25330133668324519819714611654
Salted Caramel195256268262556223195182164118
Strawberry177205224224269547193187178184
Cookie Dough2322752593092552454981378576
Cookies and Cream25231132927021422120846110761
Chocolate Peanut Butter209190173177223183214235534158
Coffee236157168155144155151197285657
Total Choices2992291028422603241122612157210520551971

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

We vary from official RCV for tiebreaking 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 tiebreaking 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 tiebreaking number wins that tie. If that tiebreaker 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 tiebreaker 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 tiebreaking 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 tiebreaker numbers, then RCV123 will use random chance to decide. We create a grid of randomly decided, head-to-head tiebreaking 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 tiebreaking 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 tiebreaker calculation. It uses the raw ballot data before any rounds are tabulated.

The number of voters who chose a candidate as their first choice is added to the number of voters who chose the candidate as their second, third, etc. choice, with each count given approximately 2/3 of the weight given to the previous count. Then all the columns are added together to arrive at a tiebreaker value for each candidate.

1st  × 1.002nd  × 0.673rd  × 0.454th  × 0.305th  × 0.206th  × 0.147th  × 0.098th  × 0.069th  × 0.0410th  × 0.03Tiebreaker Value
Butter Pecan871871.00161107.8714866.4411534.5911723.5812817.2816114.5621613.0924910.113539.601168.11
Mint Chocolate Chip388388.00804538.68266119.4119859.5515831.8414419.4412110.941237.451827.391965.331188.03
Rocky Road179179.00250167.50671301.2121063.1623046.3521729.3021919.8122113.391556.291143.10829.11
Chocolate Brownie253253.00301201.67336150.83683205.4224549.3719826.7319717.821468.851164.71541.47919.86
Salted Caramel195195.00256171.52268120.3126278.80556112.0322330.1119517.6418211.031646.661183.21746.30
Strawberry177177.00205137.35224100.5522467.3726954.2054773.8419317.4618711.331787.231845.00651.34
Cookie Dough232232.00275184.25259116.2730992.9325551.3824533.0849845.041378.30853.45762.07768.77
Cookies and Cream252252.00311208.37329147.6927081.2121443.1222129.8420818.8146127.941074.34611.66814.97
Chocolate Peanut Butter209209.00190127.3017377.6617753.2322344.9318324.7121419.3623514.2453421.681584.30596.41
Coffee236236.00157105.1916875.4215546.6214429.0215520.9315113.6619711.9428511.5765717.87568.20
Total Choices2992291028422603241122612157210520551971

In case the above system can’t break a tie, RCV123 generates a randomly ordered list of the candidates. That order is fixed when the ballot is created.

Order
Butter Pecan10
Mint Chocolate Chip9
Rocky Road7
Chocolate Brownie2
Salted Caramel3
Strawberry8
Cookie Dough6
Cookies and Cream5
Chocolate Peanut Butter4
Coffee1

Raw vote totals do not include votes rejected by the Election Administrator