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Decathlon Game 9 Choice


Winner: Lords of Waterdeep

Rounds Slider

Anyone can vote

R1R2R3R4R5R6R7R8R9R10R11
Lords of Waterdeep5050505050505161729312
Viticulture202020202021303142628
Concordia3030303030303141505-50
Brass30303030303140404-4000
Evolution101010112130303-300000
Root20202020202-2000000000
Everdell2020202020202-20000000
Fort Sumter (1v1)1010101-10000000000000
Neuroshima Hex (1v1)101010101-100000000000
Isle of Skye000000000000000000000
Yellow & Yangtze000000000000000000000
Ticket to Ride000000000000000000000
 
Total2020202020202020202020
Inactive Ballots0.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.00000
  • 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 ch11th ch12th ch
Concordia311301223220
Root212042200303
Brass331221220102
Evolution122110131060
Fort Sumter (1v1)100220143312
Isle of Skye002015124111
Yellow & Yangtze010134110224
Lords of Waterdeep526211201000
Viticulture251131100122
Neuroshima Hex (1v1)111001432230
Everdell211411222103
Ticket to Ride033412003211
Total Choices202020201919191919181818

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  × 0.0311th  × 0.0212th  × 0.02Tiebreaker Value
Concordia33.0010.6710.4530.9000.0010.1420.1820.1230.1220.0520.0500.005.68
Root22.0010.6720.9000.0040.8120.2720.1800.0000.0030.0800.0030.074.97
Brass33.0032.0110.4520.6020.4010.1420.1820.1200.0010.0300.0020.046.97
Evolution11.0021.3420.9010.3010.2000.0010.0930.1810.0400.0060.1500.004.20
Fort Sumter (1v1)11.0000.0000.0020.6020.4000.0010.0940.2430.1230.0810.0220.042.61
Isle of Skye00.0000.0020.9000.0010.2050.6810.0920.1240.1610.0310.0210.022.22
Yellow & Yangtze00.0010.6700.0010.3030.6040.5410.0910.0600.0020.0520.0540.092.46
Lords of Waterdeep55.0021.3462.6920.6010.2010.1420.1800.0010.0400.0000.0000.0010.19
Viticulture22.0053.3510.4510.3030.6010.1410.0900.0000.0010.0320.0520.047.05
Neuroshima Hex (1v1)11.0010.6710.4500.0000.0010.1440.3630.1820.0820.0530.0700.003.01
Everdell22.0010.6710.4541.2010.2010.1420.1820.1220.0810.0300.0030.075.14
Ticket to Ride00.0032.0131.3541.2010.2020.2700.0000.0030.1220.0510.0210.025.25
Total Choices202020201919191919181818

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
Concordia6
Root9
Brass11
Evolution8
Fort Sumter (1v1)7
Isle of Skye3
Yellow & Yangtze5
Lords of Waterdeep2
Viticulture12
Neuroshima Hex (1v1)1
Everdell4
Ticket to Ride10

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