More complicated example (Tennessee capitol)
Below is the ABIF from the "TNexampleScores" election (More complicated example (Tennessee capitol))
Voting methods: FPTP • approval • IRV • STAR • Pairwise • All methods
Results
Below are the results of the election represented above using various election methods with abiftool/abiflib. The detected ballot type from the ABIF above is "rated". Some methods may transform these ballots for analysis; see method notices for details. Resubmit the ABIF with "Transform ballots" turned off to minimize the transformations.
| Method | Winner |
|---|---|
| FPTP | Memphis, TN |
| Approval | Nashville, TN |
| IRV/RCV | Knoxville, TN |
| STAR | Nashville, TN |
| Condorcet/Copeland | Nashville, TN |
FPTP result
TNexampleScores FPTP results permalink:
🔗https://abif.electorama.com/id/TNexampleScores/FPTP#FPTP
- FPTP Winner: Memphis, TN with 42 first-place votes (42.0%)
- Runner-up: Nashville, TN with 26 first-place votes (26.0%)
- Margin of victory: 16 votes (16.0 percentage points)
- First-place votes
- Memphis, TN: 42 votes (42.0 %)
- Nashville, TN: 26 votes (26.0 %)
- Knoxville, TN: 17 votes (17.0 %)
- Chattanooga, TN: 15 votes (15.0 %)
- Total ballots: 100
Approval voting results
🔗https://abif.electorama.com/id/TNexampleScores/approval#approval
See transformed ballots
Note: For Approval, these choose_many ballots are inferred from rated ballots.
Conversion method: favorite_viable_half
#------- metadata -------
{ballotcount: 100}
{title: "Tennessee capitol example"}
{description: "Hypothetical example of selecting capitol of Tennessee, frequently used on Wikipedia and electowiki. The proportion of voters is loosely based on the people who live in the metropolitan areas of the four largest cities in Tennessee, and the numeric ratings are based on crow-flying mileage to the city from the other metro areas."}
#------ candlines ------
=Memph:[Memphis, TN]
=Nash:[Nashville, TN]
=Chat:[Chattanooga, TN]
=Knox:[Knoxville, TN]
#------- votelines ------
42:Memph/1=Nash/1
26:Chat/1=Knox/1=Nash/1
17:Chat/1=Knox/1=Nash/1
15:Chat/1=Knox/1=Nash/1
- Approval Winner: Nashville, TN
- Approval Results:
- Nashville, TN (Nash) — 100 approvals (100.0% of ballots) (✅ winner)
- Chattanooga, TN (Chat) — 58 approvals (58.0% of ballots)
- Knoxville, TN (Knox) — 58 approvals (58.0% of ballots)
- Memphis, TN (Memph) — 42 approvals (42.0% of ballots)
- Total: 100 ballots (258 total approvals)
IRV/RCV results
🔗https://abif.electorama.com/id/TNexampleScores/IRV#IRV
- IRV/RCV Winner: Knoxville, TN with 58 votes (58.0%) in final round
- Runner-up: Memphis, TN with 42 votes (42.0%) in final round
- Exhausted ballots in final round: 0 (0.0%)
- Number of rounds: 3
- Ballots counted in final round: 100 (100.0%)
- Majority of ballots: 51 (51.0%)
- Total ballots: 100
| Round 1 | Round 2 | Round 3 |
|---|---|---|
| Overview: Active ballots: 100 (100.0%) Exhausted ballots: 0 (0.0%) Counted ballots: 100 (100.0%) |
Overview: Active ballots: 100 (100.0%) Exhausted ballots: 0 (0.0%) Counted ballots: 100 (100.0%) |
Overview: Active ballots: 100 (100.0%) Exhausted ballots: 0 (0.0%) Counted ballots: 100 (100.0%) |
|
Memphis, TN: 42 (42.0%)
→
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Memphis, TN: 42 (42.0%)
→
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Memphis, TN: 42 (42.0%)
(🛑eliminated)
→
|
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Nashville, TN: 26 (26.0%)
→
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Nashville, TN: 26 (26.0%)
(🛑eliminated)
→
|
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Knoxville, TN: 17 (17.0%)
→
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Knoxville, TN: 32 (32.0%)
→
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IRV/RCV winner: Knoxville, TN: 58 (58.0%)✅ →
|
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Chattanooga, TN: 15 (15.0%)
(🛑eliminated)
→
|
|
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STAR results
🔗https://abif.electorama.com/id/TNexampleScores/STAR#STAR
- STAR winner: Nashville, TN
- Finalists: Nashville, TN vs Memphis, TN
- Runoff result:
- Nashville, TN: 58 votes (58.0%)
- Memphis, TN: 42 votes (42.0%)
- No preference: 0 voters (0.0%)
- Total stars allocated: 95,518
- Total ballots: 100
- First round:
- ★#0: Nashville, TN received 27,230 stars (28.5%) from 100 voters (100.0%)
- ★#1: Memphis, TN received 24,760 stars (25.9%) from 100 voters (100.0%)
- ★#2: Chattanooga, TN received 24,158 stars (25.3%) from 100 voters (100.0%)
- ★#3: Knoxville, TN received 19,370 stars (20.3%) from 100 voters (100.0%)
- Finalists:
- ★Nashville, TN (✅ winner) preferred by 58 of 100 voters
- ★Memphis, TN preferred by 42 of 100 voters
- ★No preference between the finalists: 0
Condorcet/Copeland results
🔗https://abif.electorama.com/id/TNexampleScores/pairwise#pairwise
- Winner: Nashville, TN
- Runner-up: Chattanooga, TN (beats all other candidates except Nashville, TN)
- Smallest margin: Nashville, TN over Memphis, TN (58-42; margin: 16)
- Largest margin: Chattanooga, TN over Knoxville, TN (83-17; margin: 66)
- Pairwise ties: none
- Total ballots: 100
Win-loss-tie (Condorcet/Copeland) table
🔗https://abif.electorama.com/id/TNexampleScores/pairwise#wlt
|
Nashville, TN
(3-0-0)
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Nashville, TN
3 victories ⇣ |
||
|---|---|---|---|
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Chattanooga, TN
(2-1-0)
|
Nashville, TN:
68(68.0%)
Chattanooga, TN:
32(32.0%)
(No preference: 0; 0.0%)
|
Chattanooga, TN
⇽ 1 loss / 2 victories† ⇣ |
|
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Knoxville, TN
(1-2-0)
|
Nashville, TN:
68(68.0%)
Knoxville, TN:
32(32.0%)
(No preference: 0; 0.0%)
|
Chattanooga, TN:
83(83.0%)
Knoxville, TN:
17(17.0%)
(No preference: 0; 0.0%)
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Knoxville, TN
⇽ 2 losses / 1 victory† ⇣ |
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Memphis, TN
(0-3-0)
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Nashville, TN:
58(58.0%)
Memphis, TN:
42(42.0%)
(No preference: 0; 0.0%)
|
Chattanooga, TN:
58(58.0%)
Memphis, TN:
42(42.0%)
(No preference: 0; 0.0%)
|
Knoxville, TN:
58(58.0%)
Memphis, TN:
42(42.0%)
(No preference: 0; 0.0%)
|
Pairwise tournament (Copeland ordered)
🔗https://abif.electorama.com/id/TNexampleScores/pairwise#dot
Voting methods: FPTP • approval • IRV • STAR • Pairwise • All methods
(homepage)
