Which of these candidates would you approve of for President?
46 ballots
Andrew Yang Leading
23 votes (50%)
Elizabeth Warren
19 votes (41%)
Tulsi Gabbard
18 votes (39%)
Bernie Sanders
15 votes (33%)
Pete Buttigieg
15 votes (33%)
Amy Klobuchar
13 votes (28%)
Joe Biden
11 votes (24%)
Cory Booker
11 votes (24%)
Kamala Harris
9 votes (20%)
Donald Trump
8 votes (17%)
Approval Distribution
| Number of Candidates Approved | ||||||||
|---|---|---|---|---|---|---|---|---|
| Candidate | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|
All Candidates
(46 voters)
|
19.6% | 30.4% | 17.4% | 13.0% | 4.3% | 8.7% | 2.2% | 4.3% |
|
Andrew Yang
(23 voters)
|
8.7% | 13.0% | 21.7% | 21.7% | 8.7% | 13.0% | 4.3% | 8.7% |
|
Elizabeth Warren
(19 voters)
|
— | 31.6% | 15.8% | 15.8% | 5.3% | 15.8% | 5.3% | 10.5% |
|
Tulsi Gabbard
(18 voters)
|
11.1% | 44.4% | 27.8% | 16.7% | — | — | — | — |
|
Bernie Sanders
(15 voters)
|
— | 33.3% | 40.0% | 13.3% | — | — | — | 13.3% |
|
Pete Buttigieg
(15 voters)
|
— | — | 6.7% | 33.3% | 13.3% | 26.7% | 6.7% | 13.3% |
|
Amy Klobuchar
(13 voters)
|
7.7% | — | 15.4% | 7.7% | 15.4% | 30.8% | 7.7% | 15.4% |
|
Joe Biden
(11 voters)
|
9.1% | 9.1% | 9.1% | 9.1% | 9.1% | 27.3% | 9.1% | 18.2% |
|
Cory Booker
(11 voters)
|
— | 9.1% | — | 18.2% | 9.1% | 36.4% | 9.1% | 18.2% |
|
Kamala Harris
(9 voters)
|
— | — | 11.1% | 11.1% | 11.1% | 33.3% | 11.1% | 22.2% |
|
Donald Trump
(8 voters)
|
37.5% | 50.0% | — | 12.5% | — | — | — | — |
Co-Approval Matrix
Percentage of voters who approved the row candidate also approved the column candidate
| Approved | Andrew Yang | Elizabeth Warren | Tulsi Gabbard | Bernie Sanders | Pete Buttigieg | Amy Klobuchar | Joe Biden | Cory Booker | Kamala Harris | Donald Trump |
|---|---|---|---|---|---|---|---|---|---|---|
| Andrew Yang | — | 34.8% | 43.5% | 30.4% | 56.5% | 43.5% | 30.4% | 39.1% | 26.1% | 4.3% |
| Elizabeth Warren | 42.1% | — | 10.5% | 57.9% | 47.4% | 42.1% | 36.8% | 42.1% | 36.8% | 0.0% |
| Tulsi Gabbard | 55.6% | 11.1% | — | 27.8% | 11.1% | 5.6% | 11.1% | 0.0% | 0.0% | 27.8% |
| Bernie Sanders | 46.7% | 73.3% | 33.3% | — | 20.0% | 13.3% | 20.0% | 20.0% | 20.0% | 0.0% |
| Pete Buttigieg | 86.7% | 60.0% | 13.3% | 20.0% | — | 73.3% | 53.3% | 66.7% | 53.3% | 6.7% |
| Amy Klobuchar | 76.9% | 61.5% | 7.7% | 15.4% | 84.6% | — | 53.8% | 61.5% | 61.5% | 0.0% |
| Joe Biden | 63.6% | 63.6% | 18.2% | 27.3% | 72.7% | 63.6% | — | 54.5% | 45.5% | 0.0% |
| Cory Booker | 81.8% | 72.7% | 0.0% | 27.3% | 90.9% | 72.7% | 54.5% | — | 63.6% | 0.0% |
| Kamala Harris | 66.7% | 77.8% | 0.0% | 33.3% | 88.9% | 88.9% | 55.6% | 77.8% | — | 0.0% |
| Donald Trump | 12.5% | 0.0% | 62.5% | 0.0% | 12.5% | 0.0% | 0.0% | 0.0% | 0.0% | — |
Anyone But Analysis
No "Anyone But" voting patterns detected (no ballots with exactly N-1 approvals)
When electing multiple candidates to a board or committee Proportional Approval Voting ensures that no single voting group dominates the outcome, promoting fair representation and reflecting the diverse preferences of all voters. In scenarios where there are more seats than choices available and where each choice represents a party—this method can allow a popular party to be allocated multiple seats proportionally, mirroring the party’s share of overall support.