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 | 424 |
Joe Biden | 316 |
Jo Jorgensen | 196 |
Howie Hawkins | 43 |
Tulsi Gabbard | 36 |
Dan Crenshaw | 16 |
Justin Amash | 54 |
Amy Klobuchar | 21 |
Bernie Sanders | 246 |
Andrew Yang | 57 |
Elizabeth Warren | 40 |
John Kasich | 17 |
Jeb Bush | 9 |
Rand Paul | 46 |
Ted Cruz | 31 |
TOTAL: | 1552 |
The winner is Donald Trump with 27.3% of the vote
Approval vote totals:
Candidate | Number of Votes |
---|---|
Donald Trump | 554 |
Joe Biden | 565 |
Jo Jorgensen | 451 |
Howie Hawkins | 259 |
Tulsi Gabbard | 399 |
Dan Crenshaw | 186 |
Justin Amash | 347 |
Amy Klobuchar | 250 |
Bernie Sanders | 630 |
Andrew Yang | 535 |
Elizabeth Warren | 451 |
John Kasich | 182 |
Jeb Bush | 167 |
Rand Paul | 421 |
Ted Cruz | 351 |
Ballots Cast: | 1552 |
The winner is Bernie Sanders with 40.6% of the vote
Instant Runoff required 13 rounds:
Round 1:
Donald Trump | 372 |
Joe Biden | 154 |
Jo Jorgensen | 174 |
Howie Hawkins | 57 |
Tulsi Gabbard | 39 |
Dan Crenshaw | 27 |
Justin Amash | 84 |
Amy Klobuchar | 22 |
Bernie Sanders | 295 |
Andrew Yang | 102 |
Elizabeth Warren | 77 |
John Kasich | 23 |
Jeb Bush | 13 |
Rand Paul | 69 |
Ted Cruz | 44 |
Jeb Bush eliminated in this round.
Round 2:
Donald Trump | 373 |
Joe Biden | 154 |
Jo Jorgensen | 174 |
Howie Hawkins | 57 |
Tulsi Gabbard | 40 |
Dan Crenshaw | 27 |
Justin Amash | 85 |
Amy Klobuchar | 23 |
Bernie Sanders | 296 |
Andrew Yang | 102 |
Elizabeth Warren | 77 |
John Kasich | 26 |
Rand Paul | 70 |
Ted Cruz | 48 |
Amy Klobuchar eliminated in this round.
Round 3:
Donald Trump | 373 |
Joe Biden | 163 |
Jo Jorgensen | 176 |
Howie Hawkins | 59 |
Tulsi Gabbard | 40 |
Dan Crenshaw | 27 |
Justin Amash | 85 |
Bernie Sanders | 299 |
Andrew Yang | 104 |
Elizabeth Warren | 81 |
John Kasich | 27 |
Rand Paul | 70 |
Ted Cruz | 48 |
Eliminated in this round:
Round 4:
Donald Trump | 377 |
Joe Biden | 169 |
Jo Jorgensen | 181 |
Howie Hawkins | 59 |
Tulsi Gabbard | 50 |
Justin Amash | 88 |
Bernie Sanders | 301 |
Andrew Yang | 107 |
Elizabeth Warren | 85 |
Rand Paul | 78 |
Ted Cruz | 57 |
Tulsi Gabbard eliminated in this round.
Round 5:
Donald Trump | 380 |
Joe Biden | 175 |
Jo Jorgensen | 191 |
Howie Hawkins | 63 |
Justin Amash | 97 |
Bernie Sanders | 308 |
Andrew Yang | 113 |
Elizabeth Warren | 87 |
Rand Paul | 81 |
Ted Cruz | 57 |
Ted Cruz eliminated in this round.
Round 6:
Donald Trump | 407 |
Joe Biden | 177 |
Jo Jorgensen | 194 |
Howie Hawkins | 64 |
Justin Amash | 99 |
Bernie Sanders | 310 |
Andrew Yang | 115 |
Elizabeth Warren | 87 |
Rand Paul | 99 |
Howie Hawkins eliminated in this round.
Round 7:
Donald Trump | 412 |
Joe Biden | 184 |
Jo Jorgensen | 199 |
Justin Amash | 99 |
Bernie Sanders | 350 |
Andrew Yang | 119 |
Elizabeth Warren | 90 |
Rand Paul | 99 |
Elizabeth Warren eliminated in this round.
Round 8:
Donald Trump | 412 |
Joe Biden | 202 |
Jo Jorgensen | 207 |
Justin Amash | 101 |
Bernie Sanders | 395 |
Andrew Yang | 136 |
Rand Paul | 99 |
Rand Paul eliminated in this round.
Round 9:
Donald Trump | 450 |
Joe Biden | 204 |
Jo Jorgensen | 224 |
Justin Amash | 130 |
Bernie Sanders | 397 |
Andrew Yang | 147 |
Justin Amash eliminated in this round.
Round 10:
Donald Trump | 461 |
Joe Biden | 208 |
Jo Jorgensen | 325 |
Bernie Sanders | 402 |
Andrew Yang | 156 |
Andrew Yang eliminated in this round.
Round 11:
Donald Trump | 473 |
Joe Biden | 240 |
Jo Jorgensen | 358 |
Bernie Sanders | 481 |
Joe Biden eliminated in this round.
Round 12:
Donald Trump | 494 |
Jo Jorgensen | 422 |
Bernie Sanders | 636 |
Jo Jorgensen eliminated in this round.
Round 13:
Donald Trump | 708 |
Bernie Sanders | 844 |
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 | 734 to 817 | 556 to 995 | 709 to 842 | 610 to 942 | 666 to 886 | 583 to 969 | 716 to 836 | 708 to 844 | 639 to 913 | 749 to 803 | 698 to 854 | 697 to 855 | 556 to 996 | 658 to 894 | |
Joe Biden | 5/9/0 | 817 to 734 | 686 to 865 | 736 to 815 | 668 to 884 | 806 to 746 | 744 to 808 | 771 to 781 | 618 to 934 | 521 to 1031 | 692 to 860 | 791 to 761 | 803 to 749 | 760 to 792 | 824 to 728 | |
Jo Jorgensen | 14/0/0 | 995 to 556 | 865 to 686 | 948 to 603 | 858 to 694 | 1035 to 517 | 939 to 613 | 914 to 638 | 781 to 771 | 780 to 772 | 870 to 682 | 1045 to 507 | 1062 to 490 | 1010 to 542 | 1034 to 518 | |
Howie Hawkins | 10/4/0 | 842 to 709 | 815 to 736 | 603 to 948 | 701 to 851 | 886 to 666 | 829 to 723 | 859 to 693 | 689 to 863 | 646 to 906 | 846 to 706 | 892 to 660 | 894 to 658 | 844 to 708 | 874 to 678 | |
Tulsi Gabbard | 13/1/0 | 941 to 610 | 883 to 668 | 693 to 858 | 850 to 701 | 1047 to 505 | 960 to 592 | 1039 to 513 | 811 to 741 | 829 to 723 | 948 to 604 | 1110 to 442 | 1099 to 453 | 954 to 598 | 1010 to 542 | |
Dan Crenshaw | 7/7/0 | 885 to 666 | 745 to 806 | 516 to 1035 | 665 to 886 | 505 to 1047 | 717 to 835 | 814 to 738 | 697 to 855 | 669 to 883 | 814 to 738 | 876 to 676 | 899 to 653 | 782 to 770 | 912 to 640 | |
Justin Amash | 9/5/0 | 968 to 583 | 807 to 744 | 612 to 939 | 722 to 829 | 592 to 960 | 835 to 717 | 859 to 693 | 744 to 808 | 743 to 809 | 846 to 706 | 1038 to 514 | 1062 to 490 | 999 to 553 | 1038 to 514 | |
Amy Klobuchar | 7/7/0 | 835 to 716 | 780 to 771 | 637 to 914 | 692 to 859 | 513 to 1039 | 738 to 814 | 693 to 859 | 707 to 845 | 598 to 954 | 843 to 709 | 970 to 582 | 970 to 582 | 874 to 678 | 913 to 639 | |
Bernie Sanders | 11/3/0 | 843 to 708 | 933 to 618 | 770 to 781 | 862 to 689 | 741 to 811 | 855 to 697 | 808 to 744 | 845 to 707 | 765 to 787 | 945 to 607 | 956 to 596 | 956 to 596 | 906 to 646 | 909 to 643 | |
Andrew Yang | 12/2/0 | 912 to 639 | 1030 to 521 | 771 to 780 | 905 to 646 | 723 to 829 | 883 to 669 | 809 to 743 | 954 to 598 | 787 to 765 | 1024 to 528 | 1126 to 426 | 1107 to 445 | 977 to 575 | 994 to 558 | |
Elizabeth Warren | 6/8/0 | 802 to 749 | 859 to 692 | 681 to 870 | 705 to 846 | 604 to 948 | 738 to 814 | 706 to 846 | 709 to 843 | 607 to 945 | 528 to 1024 | 880 to 672 | 911 to 641 | 853 to 699 | 870 to 682 | |
John Kasich | 4/10/0 | 853 to 698 | 760 to 791 | 506 to 1045 | 659 to 892 | 442 to 1110 | 676 to 876 | 514 to 1038 | 582 to 970 | 596 to 956 | 426 to 1126 | 672 to 880 | 975 to 577 | 828 to 724 | 930 to 622 | |
Jeb Bush | 2/12/0 | 854 to 697 | 748 to 803 | 489 to 1062 | 657 to 894 | 453 to 1099 | 653 to 899 | 490 to 1062 | 582 to 970 | 596 to 956 | 445 to 1107 | 641 to 911 | 577 to 975 | 761 to 791 | 911 to 641 | |
Rand Paul | 4/10/0 | 995 to 556 | 791 to 760 | 541 to 1010 | 707 to 844 | 598 to 954 | 770 to 782 | 553 to 999 | 678 to 874 | 646 to 906 | 575 to 977 | 699 to 853 | 724 to 828 | 791 to 761 | 1072 to 480 | |
Ted Cruz | 1/13/0 | 893 to 658 | 727 to 824 | 517 to 1034 | 677 to 874 | 542 to 1010 | 640 to 912 | 514 to 1038 | 639 to 913 | 643 to 909 | 558 to 994 | 682 to 870 | 622 to 930 | 641 to 911 | 480 to 1072 |
And the Condorcet winner is: Jo Jorgensen.
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 | 5485 | 3.5 |
Joe Biden | 5202 | 3.4 |
Jo Jorgensen | 5779 | 3.7 |
Howie Hawkins | 4155 | 2.7 |
Tulsi Gabbard | 5361 | 3.5 |
Dan Crenshaw | 3832 | 2.5 |
Justin Amash | 5119 | 3.3 |
Amy Klobuchar | 4183 | 2.7 |
Bernie Sanders | 6717 | 4.3 |
Andrew Yang | 6439 | 4.1 |
Elizabeth Warren | 5283 | 3.4 |
John Kasich | 3670 | 2.4 |
Jeb Bush | 3602 | 2.3 |
Rand Paul | 5325 | 3.4 |
Ted Cruz | 4441 | 2.9 |
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 | 5485 |
Joe Biden | 5202 |
Jo Jorgensen | 5779 |
Howie Hawkins | 4155 |
Tulsi Gabbard | 5361 |
Dan Crenshaw | 3832 |
Justin Amash | 5119 |
Amy Klobuchar | 4183 |
Bernie Sanders | 6717 |
Andrew Yang | 6439 |
Elizabeth Warren | 5283 |
John Kasich | 3670 |
Jeb Bush | 3602 |
Rand Paul | 5325 |
Ted Cruz | 4441 |
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 | 1015 |
Andrew Yang | 989 |
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 | 7/7/0 | 656 to 715 | 526 to 779 | 674 to 590 | 561 to 699 | 589 to 449 | 552 to 688 | 670 to 635 | 643 to 768 | 586 to 815 | 693 to 668 | 656 to 535 | 640 to 520 | 484 to 620 | 535 to 380 | |
Joe Biden | 10/4/0 | 715 to 656 | 647 to 634 | 653 to 494 | 596 to 695 | 746 to 497 | 671 to 562 | 614 to 382 | 372 to 683 | 395 to 769 | 470 to 529 | 702 to 427 | 732 to 443 | 712 to 650 | 755 to 576 | |
Jo Jorgensen | 11/3/0 | 779 to 526 | 634 to 647 | 634 to 344 | 551 to 512 | 718 to 315 | 508 to 393 | 620 to 470 | 551 to 734 | 468 to 687 | 612 to 591 | 685 to 372 | 711 to 380 | 630 to 427 | 766 to 403 | |
Howie Hawkins | 3/11/0 | 590 to 674 | 494 to 653 | 344 to 634 | 337 to 658 | 495 to 453 | 392 to 554 | 430 to 483 | 300 to 742 | 284 to 775 | 419 to 532 | 478 to 459 | 503 to 502 | 467 to 624 | 556 to 591 | |
Tulsi Gabbard | 11/3/0 | 699 to 561 | 695 to 596 | 512 to 551 | 658 to 337 | 673 to 316 | 536 to 460 | 657 to 394 | 546 to 699 | 473 to 649 | 618 to 537 | 681 to 313 | 707 to 356 | 564 to 494 | 697 to 453 | |
Dan Crenshaw | 0/14/0 | 449 to 589 | 497 to 746 | 315 to 718 | 453 to 495 | 316 to 673 | 299 to 573 | 432 to 557 | 448 to 797 | 356 to 801 | 484 to 636 | 417 to 447 | 436 to 475 | 311 to 587 | 418 to 466 | |
Justin Amash | 8/6/0 | 688 to 552 | 562 to 671 | 393 to 508 | 554 to 392 | 460 to 536 | 573 to 299 | 508 to 490 | 500 to 735 | 416 to 700 | 526 to 606 | 556 to 359 | 602 to 380 | 524 to 416 | 660 to 422 | |
Amy Klobuchar | 5/9/0 | 635 to 670 | 382 to 614 | 470 to 620 | 483 to 430 | 394 to 657 | 557 to 432 | 490 to 508 | 325 to 746 | 254 to 784 | 354 to 541 | 512 to 362 | 555 to 421 | 526 to 616 | 606 to 570 | |
Bernie Sanders | 14/0/0 | 768 to 643 | 683 to 372 | 734 to 551 | 742 to 300 | 699 to 546 | 797 to 448 | 735 to 500 | 746 to 325 | 563 to 537 | 654 to 281 | 768 to 382 | 782 to 415 | 742 to 583 | 782 to 551 | |
Andrew Yang | 13/1/0 | 815 to 586 | 769 to 395 | 687 to 468 | 775 to 284 | 649 to 473 | 801 to 356 | 700 to 416 | 784 to 254 | 537 to 563 | 670 to 372 | 819 to 276 | 830 to 324 | 712 to 494 | 800 to 490 | |
Elizabeth Warren | 9/5/0 | 668 to 693 | 529 to 470 | 591 to 612 | 532 to 419 | 537 to 618 | 636 to 484 | 606 to 526 | 541 to 354 | 281 to 654 | 372 to 670 | 609 to 389 | 629 to 460 | 626 to 623 | 669 to 602 | |
John Kasich | 2/12/0 | 535 to 656 | 427 to 702 | 372 to 685 | 459 to 478 | 313 to 681 | 447 to 417 | 359 to 556 | 362 to 512 | 382 to 768 | 276 to 819 | 389 to 609 | 402 to 340 | 400 to 573 | 498 to 526 | |
Jeb Bush | 1/13/0 | 520 to 640 | 443 to 732 | 380 to 711 | 502 to 503 | 356 to 707 | 475 to 436 | 380 to 602 | 421 to 555 | 415 to 782 | 324 to 830 | 460 to 629 | 340 to 402 | 364 to 571 | 458 to 498 | |
Rand Paul | 7/7/0 | 620 to 484 | 650 to 712 | 427 to 630 | 624 to 467 | 494 to 564 | 587 to 311 | 416 to 524 | 616 to 526 | 583 to 742 | 494 to 712 | 623 to 626 | 573 to 400 | 571 to 364 | 589 to 310 | |
Ted Cruz | 4/10/0 | 380 to 535 | 576 to 755 | 403 to 766 | 591 to 556 | 453 to 697 | 466 to 418 | 422 to 660 | 570 to 606 | 551 to 782 | 490 to 800 | 602 to 669 | 526 to 498 | 498 to 458 | 310 to 589 |
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 | 8210 | 35.27% |
1 | 1872 | 8.04% |
2 | 1723 | 7.40% |
3 | 1907 | 8.19% |
4 | 1656 | 7.11% |
5 | 2051 | 8.81% |
6 | 1272 | 5.46% |
7 | 1260 | 5.41% |
8 | 1114 | 4.79% |
9 | 839 | 3.60% |
10 | 1376 | 5.91% |
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 | 695 | 59 | 72 | 73 | 62 | 78 | 66 | 77 | 75 | 60 | 235 |
Joe Biden | 519 | 123 | 97 | 117 | 129 | 121 | 112 | 130 | 81 | 47 | 76 |
Jo Jorgensen | 429 | 134 | 126 | 146 | 125 | 156 | 63 | 76 | 68 | 69 | 160 |
Howie Hawkins | 613 | 153 | 120 | 135 | 101 | 147 | 75 | 57 | 55 | 31 | 65 |
Tulsi Gabbard | 425 | 105 | 117 | 159 | 152 | 196 | 124 | 114 | 69 | 47 | 44 |
Dan Crenshaw | 640 | 147 | 131 | 152 | 91 | 139 | 68 | 69 | 50 | 33 | 32 |
Justin Amash | 532 | 126 | 120 | 135 | 109 | 154 | 63 | 56 | 67 | 64 | 126 |
Amy Klobuchar | 572 | 126 | 119 | 172 | 117 | 161 | 111 | 83 | 54 | 19 | 18 |
Bernie Sanders | 476 | 92 | 97 | 88 | 82 | 89 | 62 | 100 | 111 | 116 | 239 |
Andrew Yang | 366 | 105 | 106 | 122 | 128 | 164 | 123 | 123 | 121 | 83 | 111 |
Elizabeth Warren | 561 | 121 | 116 | 84 | 103 | 93 | 94 | 88 | 103 | 93 | 96 |
John Kasich | 625 | 136 | 131 | 156 | 136 | 169 | 83 | 54 | 35 | 11 | 16 |
Jeb Bush | 595 | 169 | 154 | 170 | 133 | 140 | 72 | 51 | 34 | 18 | 16 |
Rand Paul | 510 | 137 | 115 | 117 | 92 | 128 | 89 | 97 | 104 | 76 | 87 |
Ted Cruz | 652 | 139 | 102 | 81 | 96 | 116 | 67 | 85 | 87 | 72 | 55 |
Number of bullet votes: 47 (3.03%).
Number of "approval" votes: 20 (1%).
Use the form below to look at the results for other parties or to toggle the inclusion of test runs.