2021 comma-separated example of ABIF

🔗 commaSeparated2021 (tags: { theoretical })

Below is the ABIF from the "commaSeparated2021" election (2021 comma-separated example of ABIF)

ABIF submission area (show)

Method options

FPTP results?

IRV/RCV results?

IRV extra analysis?

Approval results?

STAR results?

pairwise (Condorcet/Copeland) results?

pairwise tournament diagram?

Ballot options Transform ballots (using ballot-type metadata)?

Voting methods: FPTP • approval • IRV • STAR • Pairwise • All methods

Results

🔗https://abif.electorama.com/id/commaSeparated2021

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	Georgie
Approval	Georgie
IRV/RCV	Georgie
STAR	Allie
Condorcet/Copeland	Allie

OFF ON tabbed view

FPTP result

"FPTP" is "First-past-the-post", also known as "plurality" or "choose-one"
commaSeparated2021 FPTP results permalink:
🔗https://abif.electorama.com/id/commaSeparated2021/FPTP#FPTP

FPTP Winner: Georgie with 7 first-place votes (29.2%)
Runner-up: Frank with 5 first-place votes (20.8%)
Margin of victory: 2 votes (8.3 percentage points)
First-place votes
- Georgie: 7 votes (29.2 %)
- Frank: 5 votes (20.8 %)
- Allie: 0 votes (0.0 %)
- Billy: 0 votes (0.0 %)
- Candace: 0 votes (0.0 %)
- Dennis: 0 votes (0.0 %)
- Edith: 0 votes (0.0 %)
- Harold: 0 votes (0.0 %)
Overvotes: 12 (50.0 %)
Total ballots: 24

Approval voting results

commaSeparated2021 approval voting results permalink:
🔗https://abif.electorama.com/id/commaSeparated2021/approval#approval

📝

Note — Approval counts estimated from 24 rated ballots using favorite_viable_half method

Details

The 'favorite_viable_half' conversion algorithm: find the candidate with the most first preferences, and then determine the minimum number of figurative seats that would need to be open in order for the candidate to exceed the Hare quota with the given first-prefs. We use this to estimate how many candidates are likely to be viable candidates.

Using first-choice vote totals as a rough guide, approximately 2 candidates appear viable: Georgie and Frank. The approximation then assumes each voter approves up to 1 of their top-ranked viable candidates (half of 2). All candidates ranked at or above the lowest-ranked of each ballot's top viable candidates receive approval (considering up to 1 viable candidates per ballot).

See transformed ballots

Note: For Approval, these choose_many ballots are inferred from rated ballots.

Conversion method: favorite_viable_half

#------- metadata -------
{ballotcount: 24}
#------ candlines ------
=Allie:[Allie]
=Billy:[Billy]
=Candace:[Candace]
=Dennis:[Dennis]
=Edith:[Edith]
=Frank:[Frank]
=Georgie:[Georgie]
=Harold:[Harold]
#------- votelines ------
7:Georgie/1
5:Frank/1

Approval Winner: Georgie
Approval Results:
- Georgie — 7 approvals (29.17% of ballots) (✅ winner)
- Frank — 5 approvals (20.83% of ballots)
Total: 24 ballots (12 total approvals)

IRV/RCV results

commaSeparated2021 IRV/RCV result permalink:
🔗https://abif.electorama.com/id/commaSeparated2021/IRV#IRV

IRV/RCV Winner: Georgie with 7 votes (29.2%) in final round
Runner-up: Frank with 5 votes (20.8%) in final round
Exhausted ballots in final round: 12 (50.0%)
Number of rounds: 1
Ballots counted in final round: 12 (50.0%)
Majority of ballots: 13 (54.2%)
Total ballots: 24

Round 1
Overview: Active ballots: 24 (100.0%) Exhausted ballots: 0 (0.0%) Overvotes: 12 (50.0%) Counted ballots: 12 (50.0%) Winning threshold: 7 (29.17%) TIE(†): Allie, Billy, Candace, Dennis, Edith, Harold
IRV/RCV winner: Georgie: 7 (29.2%)✅ →
Frank: 5 (20.8%) (🛑batch eliminated †) →
~~Allie~~
~~Billy~~
~~Candace~~
~~Dennis~~
~~Edith~~
~~Harold~~

Overvotes are ballots where multiple candidates are ranked at the same, highest-ranking position.

† - This example employs a limited form "batch elimination", where a batch of multiple candidates who (in sum total) do not have enough remaining top preferences to defeat the next highest candidate in the rankings. †† - When a tie occurs, per the laws in the City and County of San Francisco and the laws in the state of Maine, the losing candidate for the round is randomly eliminated.

STAR results

commaSeparated2021 STAR results permalink:
🔗https://abif.electorama.com/id/commaSeparated2021/STAR#STAR

STAR winner: Allie
Finalists: Allie vs Billy
Runoff result:
- Allie: 7 votes (29.2%)
- Billy: 5 votes (20.8%)
- No preference: 12 voters (50.0%)
Total stars allocated: 522
Total ballots: 24

★★★★★★

★★★★★

★★★★★★

★★★★★

★★★★★★

★★★★★

★★★★★★

★★★★★

★★★★★★

(one star above is approximately 10 stars allocated by voters)

First round:
- ★#0: Allie received 88 stars (16.9%) from 19 voters (79.2%)
- ★#1: Billy received 75 stars (14.4%) from 17 voters (70.8%)
- ★#2: Candace received 72 stars (13.8%) from 24 voters (100.0%)
- ★#2: Dennis received 72 stars (13.8%) from 24 voters (100.0%)
- ★#3: Edith received 63 stars (12.1%) from 24 voters (100.0%)
- ★#4: Georgie received 62 stars (11.9%) from 24 voters (100.0%)
- ★#5: Frank received 49 stars (9.4%) from 17 voters (70.8%)
- ★#6: Harold received 41 stars (7.9%) from 12 voters (50.0%)
Finalists:
- ★Allie (✅ winner) preferred by 7 of 24 voters
- ★Billy preferred by 5 of 24 voters
- ★No preference between the finalists: 12

Condorcet/Copeland results

commaSeparated2021 Condorcet/Copeland results permalink:
🔗https://abif.electorama.com/id/commaSeparated2021/pairwise#pairwise

Winner: Allie
Runner-up: Billy (beats all other candidates except Allie)
Smallest margin: Allie over Billy (7-5; margin: 2)
Largest margin: Allie over Candace (19-5; margin: 14)
Pairwise ties: 6
Total ballots: 24

Win-loss-tie (Condorcet/Copeland) table

commaSeparated2021 w-l-t table permalink:
🔗https://abif.electorama.com/id/commaSeparated2021/pairwise#wlt

2021 comma-separated example of ABIF pairwise matchups
Allie (6-0-2)	Allie 6 victories ⇣
Billy (4-1-4)	Allie: 7(29.2%) Billy: 5(20.8%) (No preference: 12; 50.0%)	Billy ⇽ 1 loss / 4 victories^† ⇣
Dennis (4-2-2)	Allie: 19(79.2%) Dennis: 5(20.8%) (No preference: 0; 0.0%)	Billy: 12(50.0%) Dennis: 7(29.2%) (No preference: 5; 20.8%)	Dennis ⇽ 2 losses / 4 victories^† ⇣
Edith (3-3-2)	Allie: 19(79.2%) Edith: 5(20.8%) (No preference: 0; 0.0%)	Billy: 12(50.0%) Edith: 12(50.0%)^† (No preference: 0; 0.0%)	Dennis: 7(29.2%) Edith: 5(20.8%) (No preference: 12; 50.0%)	Edith ⇽ 3 losses / 3 victories^† ⇣
Candace (2-2-6)	Allie: 19(79.2%) Candace: 5(20.8%) (No preference: 0; 0.0%)	Billy: 17(70.8%) Candace: 7(29.2%) (No preference: 0; 0.0%)	Dennis: 12(50.0%) Candace: 12(50.0%)^† (No preference: 0; 0.0%)	Edith: 5(20.8%) Candace: 19(79.2%)^† (No preference: 0; 0.0%)	Candace ⇽ 2 losses / 2 victories^† ⇣
Frank (2-5-0)	Allie: 19(79.2%) Frank: 5(20.8%) (No preference: 0; 0.0%)	Billy: 12(50.0%) Frank: 5(20.8%) (No preference: 7; 29.2%)	Dennis: 19(79.2%) Frank: 5(20.8%) (No preference: 0; 0.0%)	Edith: 19(79.2%) Frank: 5(20.8%) (No preference: 0; 0.0%)	Candace: 19(79.2%) Frank: 5(20.8%) (No preference: 0; 0.0%)	Frank ⇽ 5 losses / 2 victories^† ⇣
Georgie (1-4-4)	Allie: 12(50.0%) Georgie: 12(50.0%)^† (No preference: 0; 0.0%)	Billy: 12(50.0%) Georgie: 7(29.2%) (No preference: 5; 20.8%)	Dennis: 12(50.0%) Georgie: 7(29.2%) (No preference: 5; 20.8%)	Edith: 17(70.8%) Georgie: 7(29.2%) (No preference: 0; 0.0%)	Candace: 12(50.0%) Georgie: 12(50.0%)^† (No preference: 0; 0.0%)	Frank: 17(70.8%) Georgie: 7(29.2%) (No preference: 0; 0.0%)	Georgie ⇽ 4 losses / 1 victory^† ⇣
Harold (0-5-4)	Allie: 19(79.2%) Harold: 5(20.8%) (No preference: 0; 0.0%)	Billy: 12(50.0%) Harold: 12(50.0%)^† (No preference: 0; 0.0%)	Dennis: 12(50.0%) Harold: 5(20.8%) (No preference: 7; 29.2%)	Edith: 12(50.0%) Harold: 7(29.2%) (No preference: 5; 20.8%)	Candace: 12(50.0%) Harold: 12(50.0%)^† (No preference: 0; 0.0%)	Frank: 17(70.8%) Harold: 7(29.2%) (No preference: 0; 0.0%)	Georgie: 19(79.2%) Harold: 5(20.8%) (No preference: 0; 0.0%)

Pairwise tournament (Copeland ordered)

commaSeparated2021 pairwise diagram permalink:
🔗https://abif.electorama.com/id/commaSeparated2021/pairwise#dot

Voting methods: FPTP • approval • IRV • STAR • Pairwise • All methods

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