Tally for votes by US Citizens.
This page includes not only the basic tallies for each voting system, as if each respective system were in use, it also includes some extra stats:
Plurality vote totals:
Candidate | Number of Votes |
---|---|
Donald Trump | 341 |
Joe Biden | 292 |
Jo Jorgensen | 195 |
Howie Hawkins | 36 |
Tulsi Gabbard | 36 |
Dan Crenshaw | 15 |
Justin Amash | 53 |
Amy Klobuchar | 17 |
Bernie Sanders | 228 |
Andrew Yang | 56 |
Elizabeth Warren | 36 |
John Kasich | 15 |
Jeb Bush | 8 |
Rand Paul | 39 |
Ted Cruz | 27 |
TOTAL: | 1394 |
The winner is Donald Trump with 24.5% of the vote
Approval vote totals:
Candidate | Number of Votes |
---|---|
Donald Trump | 465 |
Joe Biden | 524 |
Jo Jorgensen | 438 |
Howie Hawkins | 239 |
Tulsi Gabbard | 377 |
Dan Crenshaw | 174 |
Justin Amash | 334 |
Amy Klobuchar | 225 |
Bernie Sanders | 587 |
Andrew Yang | 513 |
Elizabeth Warren | 420 |
John Kasich | 169 |
Jeb Bush | 141 |
Rand Paul | 393 |
Ted Cruz | 302 |
Ballots Cast: | 1394 |
The winner is Bernie Sanders with 42.1% of the vote
Instant Runoff required 14 rounds:
Round 1:
Donald Trump | 303 |
Joe Biden | 134 |
Jo Jorgensen | 171 |
Howie Hawkins | 50 |
Tulsi Gabbard | 39 |
Dan Crenshaw | 22 |
Justin Amash | 83 |
Amy Klobuchar | 20 |
Bernie Sanders | 274 |
Andrew Yang | 98 |
Elizabeth Warren | 72 |
John Kasich | 20 |
Jeb Bush | 10 |
Rand Paul | 59 |
Ted Cruz | 39 |
Jeb Bush eliminated in this round.
Round 2:
Donald Trump | 304 |
Joe Biden | 134 |
Jo Jorgensen | 171 |
Howie Hawkins | 50 |
Tulsi Gabbard | 39 |
Dan Crenshaw | 22 |
Justin Amash | 84 |
Amy Klobuchar | 20 |
Bernie Sanders | 275 |
Andrew Yang | 98 |
Elizabeth Warren | 72 |
John Kasich | 23 |
Rand Paul | 59 |
Ted Cruz | 43 |
Amy Klobuchar eliminated in this round.
Round 3:
Donald Trump | 304 |
Joe Biden | 142 |
Jo Jorgensen | 173 |
Howie Hawkins | 52 |
Tulsi Gabbard | 39 |
Dan Crenshaw | 22 |
Justin Amash | 84 |
Bernie Sanders | 278 |
Andrew Yang | 99 |
Elizabeth Warren | 75 |
John Kasich | 24 |
Rand Paul | 59 |
Ted Cruz | 43 |
Dan Crenshaw eliminated in this round.
Round 4:
Donald Trump | 305 |
Joe Biden | 143 |
Jo Jorgensen | 177 |
Howie Hawkins | 52 |
Tulsi Gabbard | 44 |
Justin Amash | 85 |
Bernie Sanders | 278 |
Andrew Yang | 100 |
Elizabeth Warren | 75 |
John Kasich | 26 |
Rand Paul | 61 |
Ted Cruz | 48 |
John Kasich eliminated in this round.
Round 5:
Donald Trump | 306 |
Joe Biden | 147 |
Jo Jorgensen | 177 |
Howie Hawkins | 52 |
Tulsi Gabbard | 48 |
Justin Amash | 87 |
Bernie Sanders | 280 |
Andrew Yang | 102 |
Elizabeth Warren | 78 |
Rand Paul | 66 |
Ted Cruz | 51 |
Tulsi Gabbard eliminated in this round.
Round 6:
Donald Trump | 309 |
Joe Biden | 153 |
Jo Jorgensen | 187 |
Howie Hawkins | 55 |
Justin Amash | 96 |
Bernie Sanders | 287 |
Andrew Yang | 107 |
Elizabeth Warren | 80 |
Rand Paul | 69 |
Ted Cruz | 51 |
Ted Cruz eliminated in this round.
Round 7:
Donald Trump | 333 |
Joe Biden | 155 |
Jo Jorgensen | 190 |
Howie Hawkins | 56 |
Justin Amash | 97 |
Bernie Sanders | 289 |
Andrew Yang | 108 |
Elizabeth Warren | 80 |
Rand Paul | 86 |
Howie Hawkins eliminated in this round.
Round 8:
Donald Trump | 336 |
Joe Biden | 161 |
Jo Jorgensen | 192 |
Justin Amash | 97 |
Bernie Sanders | 328 |
Andrew Yang | 111 |
Elizabeth Warren | 83 |
Rand Paul | 86 |
Elizabeth Warren eliminated in this round.
Round 9:
Donald Trump | 336 |
Joe Biden | 179 |
Jo Jorgensen | 199 |
Justin Amash | 98 |
Bernie Sanders | 371 |
Andrew Yang | 125 |
Rand Paul | 86 |
Rand Paul eliminated in this round.
Round 10:
Donald Trump | 369 |
Joe Biden | 180 |
Jo Jorgensen | 215 |
Justin Amash | 123 |
Bernie Sanders | 372 |
Andrew Yang | 135 |
Justin Amash eliminated in this round.
Round 11:
Donald Trump | 378 |
Joe Biden | 184 |
Jo Jorgensen | 312 |
Bernie Sanders | 376 |
Andrew Yang | 144 |
Andrew Yang eliminated in this round.
Round 12:
Donald Trump | 389 |
Joe Biden | 213 |
Jo Jorgensen | 344 |
Bernie Sanders | 448 |
Joe Biden eliminated in this round.
Round 13:
Donald Trump | 406 |
Jo Jorgensen | 403 |
Bernie Sanders | 585 |
Jo Jorgensen eliminated in this round.
Round 14:
Donald Trump | 611 |
Bernie Sanders | 783 |
And the winner is: Bernie Sanders
Candidate | W/L/T | vs. Trump | vs. Biden | vs. Jorgensen | vs. Hawkins | vs. Gabbard | vs. Crenshaw | vs. Amash | vs. Klobuchar | vs. Sanders | vs. Yang | vs. Warren | vs. Kasich | vs. Bush | vs. Paul | vs. Cruz |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Donald Trump | 0/14/0 | 636 to 758 | 459 to 935 | 610 to 784 | 513 to 881 | 569 to 825 | 484 to 910 | 613 to 781 | 611 to 783 | 542 to 852 | 646 to 748 | 600 to 794 | 598 to 796 | 465 to 929 | 558 to 836 | |
Joe Biden | 6/8/0 | 758 to 636 | 624 to 770 | 677 to 717 | 605 to 789 | 739 to 655 | 679 to 715 | 708 to 686 | 558 to 836 | 463 to 931 | 623 to 771 | 727 to 667 | 740 to 654 | 695 to 699 | 754 to 640 | |
Jo Jorgensen | 13/1/0 | 935 to 459 | 770 to 624 | 865 to 529 | 775 to 619 | 953 to 441 | 850 to 544 | 825 to 569 | 701 to 693 | 694 to 700 | 781 to 613 | 946 to 448 | 976 to 418 | 928 to 466 | 959 to 435 | |
Howie Hawkins | 10/4/0 | 784 to 610 | 717 to 677 | 529 to 865 | 601 to 793 | 791 to 603 | 721 to 673 | 761 to 633 | 605 to 789 | 556 to 838 | 750 to 644 | 789 to 605 | 805 to 589 | 749 to 645 | 797 to 597 | |
Tulsi Gabbard | 13/1/0 | 881 to 513 | 789 to 605 | 619 to 775 | 793 to 601 | 961 to 433 | 858 to 536 | 944 to 450 | 718 to 676 | 733 to 661 | 846 to 548 | 1002 to 392 | 1007 to 387 | 863 to 531 | 925 to 469 | |
Dan Crenshaw | 6/8/0 | 825 to 569 | 655 to 739 | 441 to 953 | 603 to 791 | 433 to 961 | 615 to 779 | 716 to 678 | 605 to 789 | 575 to 819 | 716 to 678 | 772 to 622 | 805 to 589 | 683 to 711 | 826 to 568 | |
Justin Amash | 9/5/0 | 910 to 484 | 715 to 679 | 544 to 850 | 673 to 721 | 536 to 858 | 779 to 615 | 774 to 620 | 662 to 732 | 655 to 739 | 753 to 641 | 932 to 462 | 965 to 429 | 909 to 485 | 958 to 436 | |
Amy Klobuchar | 6/8/0 | 781 to 613 | 686 to 708 | 569 to 825 | 633 to 761 | 450 to 944 | 678 to 716 | 620 to 774 | 615 to 779 | 506 to 888 | 737 to 657 | 866 to 528 | 873 to 521 | 778 to 616 | 828 to 566 | |
Bernie Sanders | 11/3/0 | 783 to 611 | 836 to 558 | 693 to 701 | 789 to 605 | 676 to 718 | 789 to 605 | 732 to 662 | 779 to 615 | 677 to 717 | 852 to 542 | 863 to 531 | 865 to 529 | 809 to 585 | 825 to 569 | |
Andrew Yang | 13/1/0 | 852 to 542 | 931 to 463 | 700 to 694 | 838 to 556 | 661 to 733 | 819 to 575 | 739 to 655 | 888 to 506 | 717 to 677 | 926 to 468 | 1014 to 380 | 1003 to 391 | 878 to 516 | 910 to 484 | |
Elizabeth Warren | 6/8/0 | 748 to 646 | 771 to 623 | 613 to 781 | 644 to 750 | 548 to 846 | 678 to 716 | 641 to 753 | 657 to 737 | 542 to 852 | 468 to 926 | 785 to 609 | 816 to 578 | 756 to 638 | 788 to 606 | |
John Kasich | 4/10/0 | 794 to 600 | 667 to 727 | 448 to 946 | 605 to 789 | 392 to 1002 | 622 to 772 | 462 to 932 | 528 to 866 | 531 to 863 | 380 to 1014 | 609 to 785 | 886 to 508 | 732 to 662 | 848 to 546 | |
Jeb Bush | 2/12/0 | 796 to 598 | 654 to 740 | 418 to 976 | 589 to 805 | 387 to 1007 | 589 to 805 | 429 to 965 | 521 to 873 | 529 to 865 | 391 to 1003 | 578 to 816 | 508 to 886 | 657 to 737 | 826 to 568 | |
Rand Paul | 5/9/0 | 929 to 465 | 699 to 695 | 466 to 928 | 645 to 749 | 531 to 863 | 711 to 683 | 485 to 909 | 616 to 778 | 585 to 809 | 516 to 878 | 638 to 756 | 662 to 732 | 737 to 657 | 988 to 406 | |
Ted Cruz | 1/13/0 | 836 to 558 | 640 to 754 | 435 to 959 | 597 to 797 | 469 to 925 | 568 to 826 | 436 to 958 | 566 to 828 | 569 to 825 | 484 to 910 | 606 to 788 | 546 to 848 | 568 to 826 | 406 to 988 |
We have a tie! No candidate won every head to head contest.
Here is the straight up count using the Range ballots. Candidate with the highest number of total stars wins.
Candidate | Total Stars | Average Stars |
---|---|---|
Donald Trump | 4644 | 3.3 |
Joe Biden | 4733 | 3.4 |
Jo Jorgensen | 5392 | 3.9 |
Howie Hawkins | 3722 | 2.7 |
Tulsi Gabbard | 4922 | 3.5 |
Dan Crenshaw | 3409 | 2.4 |
Justin Amash | 4732 | 3.4 |
Amy Klobuchar | 3735 | 2.7 |
Bernie Sanders | 6144 | 4.4 |
Andrew Yang | 5926 | 4.3 |
Elizabeth Warren | 4797 | 3.4 |
John Kasich | 3255 | 2.3 |
Jeb Bush | 3152 | 2.3 |
Rand Paul | 4840 | 3.5 |
Ted Cruz | 3891 | 2.8 |
And the winner is: Bernie Sanders
Another possible way to use range ballots is to pick the top two candidates based on the number of stars and then do a runoff round using simple majority voting. (Or more than two if there is a tie for second place.) For the second round we count ballots where the top two candidates have the same number of stars as both being approved -- which has no impact except for a special case. ( If there are more than two candidates in the second round, 2 candidates might have more than the third making the tie meaningful.)
The idea behind Range with Runoff is to encourage people to express preferences between all candidates so that their vote counts in the second round. (Since this was not in the instructions for this simulation, doing a Range with Runoff count here is not a great test of the concept!)
Range with Runoff as per this experiment is similar to Star Voting, only with more possible stars.
First Round:
For the first round, we count just as in Range Voting, but we are interested in the top two candidates. If there is a tie for second place in this round, then we take the top candidate and all second place candidates to the second round.
Candidate | Number of Stars |
---|---|
Donald Trump | 4644 |
Joe Biden | 4733 |
Jo Jorgensen | 5392 |
Howie Hawkins | 3722 |
Tulsi Gabbard | 4922 |
Dan Crenshaw | 3409 |
Justin Amash | 4732 |
Amy Klobuchar | 3735 |
Bernie Sanders | 6144 |
Andrew Yang | 5926 |
Elizabeth Warren | 4797 |
John Kasich | 3255 |
Jeb Bush | 3152 |
Rand Paul | 4840 |
Ted Cruz | 3891 |
The following candidates make it to Round 2:
Second Round:
Here are the vote counts for the second round. A candidate gets a vote if he/she has the highest number of stars in the truncated ballot. If multiple candidates get the same, highest, star count, then multiple candidates get a vote. In this sense, the second round is somewhere between Plurality and Approval.
Candidate | Votes |
---|---|
Bernie Sanders | 911 |
Andrew Yang | 880 |
And the winner is: Bernie Sanders
Did straight up Range counting produce the Condorcet winner? (That is, the winner if only two candidates were one the ballot and we were to do majority balloting based on the Range data.) Let's find out! For the table below I use the number of stars to determine preference between each pair of candidates for each voter. If a pair of candidates get the same number of stars, I treat the ballot as an abstention for that pairwise race.
Candidate | W/L/T | vs. Trump | vs. Biden | vs. Jorgensen | vs. Hawkins | vs. Gabbard | vs. Crenshaw | vs. Amash | vs. Klobuchar | vs. Sanders | vs. Yang | vs. Warren | vs. Kasich | vs. Bush | vs. Paul | vs. Cruz |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Donald Trump | 5/9/0 | 563 to 671 | 430 to 740 | 581 to 549 | 470 to 662 | 499 to 416 | 457 to 651 | 577 to 589 | 555 to 712 | 499 to 763 | 600 to 624 | 564 to 495 | 551 to 481 | 400 to 578 | 453 to 355 | |
Joe Biden | 10/4/0 | 671 to 563 | 591 to 578 | 599 to 434 | 538 to 632 | 688 to 437 | 614 to 508 | 562 to 328 | 334 to 623 | 354 to 702 | 422 to 477 | 647 to 368 | 678 to 378 | 652 to 586 | 695 to 505 | |
Jo Jorgensen | 11/3/0 | 740 to 430 | 578 to 591 | 598 to 302 | 515 to 470 | 669 to 271 | 467 to 363 | 581 to 419 | 514 to 664 | 441 to 631 | 573 to 538 | 646 to 328 | 673 to 326 | 587 to 377 | 727 to 332 | |
Howie Hawkins | 3/11/0 | 549 to 581 | 434 to 599 | 302 to 598 | 296 to 618 | 453 to 414 | 351 to 518 | 391 to 442 | 266 to 678 | 257 to 714 | 377 to 485 | 439 to 420 | 467 to 451 | 420 to 578 | 513 to 523 | |
Tulsi Gabbard | 11/3/0 | 662 to 470 | 632 to 538 | 470 to 515 | 618 to 296 | 629 to 280 | 493 to 429 | 612 to 348 | 504 to 634 | 439 to 589 | 569 to 483 | 641 to 274 | 665 to 309 | 519 to 451 | 656 to 395 | |
Dan Crenshaw | 0/14/0 | 416 to 499 | 437 to 688 | 271 to 669 | 414 to 453 | 280 to 629 | 259 to 535 | 388 to 507 | 403 to 730 | 328 to 734 | 437 to 582 | 383 to 402 | 398 to 423 | 274 to 539 | 379 to 402 | |
Justin Amash | 8/6/0 | 651 to 457 | 508 to 614 | 363 to 467 | 518 to 351 | 429 to 493 | 535 to 259 | 472 to 442 | 464 to 669 | 390 to 642 | 487 to 552 | 521 to 313 | 568 to 327 | 489 to 371 | 622 to 355 | |
Amy Klobuchar | 6/8/0 | 589 to 577 | 328 to 562 | 419 to 581 | 442 to 391 | 348 to 612 | 507 to 388 | 442 to 472 | 285 to 685 | 223 to 727 | 311 to 505 | 471 to 322 | 515 to 373 | 478 to 567 | 559 to 503 | |
Bernie Sanders | 14/0/0 | 712 to 555 | 623 to 334 | 664 to 514 | 678 to 266 | 634 to 504 | 730 to 403 | 669 to 464 | 685 to 285 | 514 to 483 | 600 to 246 | 708 to 342 | 719 to 367 | 677 to 540 | 722 to 490 | |
Andrew Yang | 13/1/0 | 763 to 499 | 702 to 354 | 631 to 441 | 714 to 257 | 589 to 439 | 734 to 328 | 642 to 390 | 727 to 223 | 483 to 514 | 612 to 333 | 764 to 247 | 770 to 285 | 648 to 459 | 744 to 431 | |
Elizabeth Warren | 9/5/0 | 624 to 600 | 477 to 422 | 538 to 573 | 485 to 377 | 483 to 569 | 582 to 437 | 552 to 487 | 505 to 311 | 246 to 600 | 333 to 612 | 559 to 345 | 582 to 405 | 572 to 575 | 616 to 535 | |
John Kasich | 2/12/0 | 495 to 564 | 368 to 647 | 328 to 646 | 420 to 439 | 274 to 641 | 402 to 383 | 313 to 521 | 322 to 471 | 342 to 708 | 247 to 764 | 345 to 559 | 366 to 299 | 359 to 532 | 458 to 459 | |
Jeb Bush | 1/13/0 | 481 to 551 | 378 to 678 | 326 to 673 | 451 to 467 | 309 to 665 | 423 to 398 | 327 to 568 | 373 to 515 | 367 to 719 | 285 to 770 | 405 to 582 | 299 to 366 | 320 to 530 | 418 to 436 | |
Rand Paul | 8/6/0 | 578 to 400 | 586 to 652 | 377 to 587 | 578 to 420 | 451 to 519 | 539 to 274 | 371 to 489 | 567 to 478 | 540 to 677 | 459 to 648 | 575 to 572 | 532 to 359 | 530 to 320 | 547 to 254 | |
Ted Cruz | 4/10/0 | 355 to 453 | 505 to 695 | 332 to 727 | 523 to 513 | 395 to 656 | 402 to 379 | 355 to 622 | 503 to 559 | 490 to 722 | 431 to 744 | 535 to 616 | 459 to 458 | 436 to 418 | 254 to 547 |
And the Condorcet winner is: Bernie Sanders.
Many people worry that with Range Voting people will game the system by Bullet Voting: giving their favorite candidate ten stars and everyone else a zero. (This is one justification for Range with Runoff: it gives more incentives to opine on all the viable candidates.)
Another possibility is that people could give 10s to multiple favorites and zeroes to the rest (min/max strategy). In this case Range degenerates to Approval.
So, will people Bullet Vote? Will they simply do an Approval Vote? To get an idea I have generated a histogram table of the number of ballots that include each of the number of stars. Note that it is possible to have more instances of a number of stars than there are ballots, as the total number of instances is the number of ballots times the number of candidates.
Percentages are percentages of possible instances.
Number of Stars | Number of Instances | Percent |
---|---|---|
0 | 7467 | 35.71% |
1 | 1671 | 7.99% |
2 | 1462 | 6.99% |
3 | 1678 | 8.02% |
4 | 1471 | 7.03% |
5 | 1802 | 8.62% |
6 | 1155 | 5.52% |
7 | 1127 | 5.39% |
8 | 1015 | 4.85% |
9 | 788 | 3.77% |
10 | 1274 | 6.09% |
Now let's break down the above by candidate:
Candidate \ N Stars | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
---|---|---|---|---|---|---|---|---|---|---|---|
Donald Trump | 652 | 55 | 64 | 71 | 54 | 72 | 55 | 65 | 62 | 49 | 195 |
Joe Biden | 459 | 108 | 81 | 110 | 121 | 107 | 105 | 118 | 73 | 46 | 66 |
Jo Jorgensen | 375 | 118 | 106 | 133 | 105 | 136 | 59 | 72 | 64 | 67 | 159 |
Howie Hawkins | 562 | 138 | 102 | 115 | 90 | 128 | 69 | 49 | 51 | 30 | 60 |
Tulsi Gabbard | 376 | 92 | 100 | 136 | 141 | 174 | 117 | 107 | 64 | 45 | 42 |
Dan Crenshaw | 596 | 128 | 108 | 129 | 81 | 122 | 61 | 63 | 46 | 31 | 29 |
Justin Amash | 475 | 112 | 99 | 120 | 93 | 136 | 59 | 51 | 65 | 61 | 123 |
Amy Klobuchar | 525 | 111 | 101 | 149 | 108 | 144 | 100 | 74 | 49 | 17 | 16 |
Bernie Sanders | 430 | 82 | 81 | 74 | 71 | 73 | 56 | 89 | 100 | 110 | 228 |
Andrew Yang | 323 | 90 | 92 | 107 | 113 | 145 | 113 | 109 | 113 | 81 | 108 |
Elizabeth Warren | 511 | 108 | 94 | 74 | 91 | 78 | 87 | 76 | 96 | 87 | 92 |
John Kasich | 575 | 120 | 115 | 137 | 118 | 150 | 76 | 47 | 31 | 11 | 14 |
Jeb Bush | 548 | 154 | 133 | 154 | 123 | 122 | 58 | 43 | 28 | 15 | 16 |
Rand Paul | 460 | 123 | 100 | 98 | 80 | 112 | 81 | 92 | 96 | 75 | 77 |
Ted Cruz | 600 | 132 | 86 | 71 | 82 | 103 | 59 | 72 | 77 | 63 | 49 |
Number of bullet votes: 38 (2.73%).
Number of "approval" votes: 18 (1%).
Use the form below to look at the results for other parties or to toggle the inclusion of test runs.