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 | 431 |
Joe Biden | 321 |
Jo Jorgensen | 197 |
Howie Hawkins | 43 |
Tulsi Gabbard | 37 |
Dan Crenshaw | 16 |
Justin Amash | 54 |
Amy Klobuchar | 21 |
Bernie Sanders | 248 |
Andrew Yang | 57 |
Elizabeth Warren | 40 |
John Kasich | 17 |
Jeb Bush | 9 |
Rand Paul | 46 |
Ted Cruz | 31 |
TOTAL: | 1568 |
The winner is Donald Trump with 27.5% of the vote
Approval vote totals:
Candidate | Number of Votes |
---|---|
Donald Trump | 562 |
Joe Biden | 571 |
Jo Jorgensen | 452 |
Howie Hawkins | 262 |
Tulsi Gabbard | 400 |
Dan Crenshaw | 187 |
Justin Amash | 347 |
Amy Klobuchar | 253 |
Bernie Sanders | 634 |
Andrew Yang | 536 |
Elizabeth Warren | 453 |
John Kasich | 183 |
Jeb Bush | 169 |
Rand Paul | 423 |
Ted Cruz | 357 |
Ballots Cast: | 1568 |
The winner is Bernie Sanders with 40.4% of the vote
Instant Runoff required 13 rounds:
Round 1:
Donald Trump | 379 |
Joe Biden | 158 |
Jo Jorgensen | 175 |
Howie Hawkins | 57 |
Tulsi Gabbard | 40 |
Dan Crenshaw | 27 |
Justin Amash | 84 |
Amy Klobuchar | 22 |
Bernie Sanders | 298 |
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 | 380 |
Joe Biden | 158 |
Jo Jorgensen | 175 |
Howie Hawkins | 57 |
Tulsi Gabbard | 41 |
Dan Crenshaw | 27 |
Justin Amash | 85 |
Amy Klobuchar | 23 |
Bernie Sanders | 299 |
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 | 380 |
Joe Biden | 167 |
Jo Jorgensen | 177 |
Howie Hawkins | 59 |
Tulsi Gabbard | 41 |
Dan Crenshaw | 27 |
Justin Amash | 85 |
Bernie Sanders | 302 |
Andrew Yang | 104 |
Elizabeth Warren | 81 |
John Kasich | 27 |
Rand Paul | 70 |
Ted Cruz | 48 |
Eliminated in this round:
Round 4:
Donald Trump | 384 |
Joe Biden | 173 |
Jo Jorgensen | 182 |
Howie Hawkins | 59 |
Tulsi Gabbard | 51 |
Justin Amash | 88 |
Bernie Sanders | 304 |
Andrew Yang | 107 |
Elizabeth Warren | 85 |
Rand Paul | 78 |
Ted Cruz | 57 |
Tulsi Gabbard eliminated in this round.
Round 5:
Donald Trump | 387 |
Joe Biden | 179 |
Jo Jorgensen | 192 |
Howie Hawkins | 63 |
Justin Amash | 97 |
Bernie Sanders | 311 |
Andrew Yang | 113 |
Elizabeth Warren | 87 |
Rand Paul | 81 |
Ted Cruz | 58 |
Ted Cruz eliminated in this round.
Round 6:
Donald Trump | 414 |
Joe Biden | 181 |
Jo Jorgensen | 196 |
Howie Hawkins | 64 |
Justin Amash | 99 |
Bernie Sanders | 313 |
Andrew Yang | 115 |
Elizabeth Warren | 87 |
Rand Paul | 99 |
Howie Hawkins eliminated in this round.
Round 7:
Donald Trump | 419 |
Joe Biden | 188 |
Jo Jorgensen | 201 |
Justin Amash | 99 |
Bernie Sanders | 353 |
Andrew Yang | 119 |
Elizabeth Warren | 90 |
Rand Paul | 99 |
Elizabeth Warren eliminated in this round.
Round 8:
Donald Trump | 419 |
Joe Biden | 206 |
Jo Jorgensen | 209 |
Justin Amash | 101 |
Bernie Sanders | 398 |
Andrew Yang | 136 |
Rand Paul | 99 |
Rand Paul eliminated in this round.
Round 9:
Donald Trump | 457 |
Joe Biden | 208 |
Jo Jorgensen | 226 |
Justin Amash | 130 |
Bernie Sanders | 400 |
Andrew Yang | 147 |
Justin Amash eliminated in this round.
Round 10:
Donald Trump | 468 |
Joe Biden | 212 |
Jo Jorgensen | 327 |
Bernie Sanders | 405 |
Andrew Yang | 156 |
Andrew Yang eliminated in this round.
Round 11:
Donald Trump | 480 |
Joe Biden | 244 |
Jo Jorgensen | 360 |
Bernie Sanders | 484 |
Joe Biden eliminated in this round.
Round 12:
Donald Trump | 503 |
Jo Jorgensen | 425 |
Bernie Sanders | 640 |
Jo Jorgensen eliminated in this round.
Round 13:
Donald Trump | 719 |
Bernie Sanders | 849 |
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 | 744 to 823 | 566 to 1001 | 719 to 848 | 620 to 948 | 677 to 891 | 593 to 975 | 727 to 841 | 719 to 849 | 651 to 917 | 761 to 807 | 710 to 858 | 710 to 858 | 567 to 1001 | 670 to 898 | |
Joe Biden | 5/9/0 | 823 to 744 | 693 to 874 | 741 to 826 | 675 to 893 | 815 to 753 | 752 to 816 | 780 to 788 | 626 to 942 | 531 to 1037 | 702 to 866 | 802 to 766 | 812 to 756 | 769 to 799 | 833 to 735 | |
Jo Jorgensen | 14/0/0 | 1001 to 566 | 874 to 693 | 955 to 612 | 866 to 702 | 1045 to 523 | 949 to 619 | 923 to 645 | 789 to 779 | 790 to 778 | 879 to 689 | 1055 to 513 | 1072 to 496 | 1019 to 549 | 1043 to 525 | |
Howie Hawkins | 10/4/0 | 848 to 719 | 826 to 741 | 612 to 955 | 710 to 858 | 896 to 672 | 839 to 729 | 869 to 699 | 698 to 870 | 657 to 911 | 858 to 710 | 902 to 666 | 903 to 665 | 853 to 715 | 882 to 686 | |
Tulsi Gabbard | 13/1/0 | 947 to 620 | 892 to 675 | 701 to 866 | 857 to 710 | 1057 to 511 | 971 to 597 | 1049 to 519 | 819 to 749 | 840 to 728 | 959 to 609 | 1121 to 447 | 1108 to 460 | 962 to 606 | 1018 to 550 | |
Dan Crenshaw | 7/7/0 | 890 to 677 | 752 to 815 | 522 to 1045 | 671 to 896 | 511 to 1057 | 727 to 841 | 824 to 744 | 706 to 862 | 678 to 890 | 824 to 744 | 886 to 682 | 906 to 662 | 790 to 778 | 920 to 648 | |
Justin Amash | 9/5/0 | 974 to 593 | 815 to 752 | 618 to 949 | 728 to 839 | 597 to 971 | 841 to 727 | 867 to 701 | 752 to 816 | 751 to 817 | 856 to 712 | 1048 to 520 | 1072 to 496 | 1007 to 561 | 1046 to 522 | |
Amy Klobuchar | 7/7/0 | 840 to 727 | 787 to 780 | 644 to 923 | 698 to 869 | 519 to 1049 | 744 to 824 | 701 to 867 | 712 to 856 | 606 to 962 | 851 to 717 | 979 to 589 | 979 to 589 | 882 to 686 | 922 to 646 | |
Bernie Sanders | 11/3/0 | 848 to 719 | 941 to 626 | 778 to 789 | 869 to 698 | 749 to 819 | 862 to 706 | 816 to 752 | 856 to 712 | 775 to 793 | 957 to 611 | 966 to 602 | 964 to 604 | 915 to 653 | 917 to 651 | |
Andrew Yang | 12/2/0 | 916 to 651 | 1036 to 531 | 777 to 790 | 910 to 657 | 728 to 840 | 890 to 678 | 817 to 751 | 962 to 606 | 793 to 775 | 1035 to 533 | 1134 to 434 | 1118 to 450 | 983 to 585 | 1002 to 566 | |
Elizabeth Warren | 6/8/0 | 806 to 761 | 865 to 702 | 688 to 879 | 709 to 858 | 609 to 959 | 744 to 824 | 712 to 856 | 717 to 851 | 611 to 957 | 533 to 1035 | 887 to 681 | 919 to 649 | 860 to 708 | 877 to 691 | |
John Kasich | 4/10/0 | 857 to 710 | 765 to 802 | 512 to 1055 | 665 to 902 | 447 to 1121 | 682 to 886 | 520 to 1048 | 589 to 979 | 602 to 966 | 434 to 1134 | 681 to 887 | 982 to 586 | 836 to 732 | 937 to 631 | |
Jeb Bush | 2/12/0 | 857 to 710 | 755 to 812 | 495 to 1072 | 664 to 903 | 460 to 1108 | 662 to 906 | 496 to 1072 | 589 to 979 | 604 to 964 | 450 to 1118 | 649 to 919 | 586 to 982 | 770 to 798 | 919 to 649 | |
Rand Paul | 4/10/0 | 1000 to 567 | 798 to 769 | 548 to 1019 | 714 to 853 | 606 to 962 | 778 to 790 | 561 to 1007 | 686 to 882 | 653 to 915 | 585 to 983 | 708 to 860 | 732 to 836 | 798 to 770 | 1078 to 490 | |
Ted Cruz | 1/13/0 | 897 to 670 | 734 to 833 | 524 to 1043 | 685 to 882 | 550 to 1018 | 648 to 920 | 522 to 1046 | 646 to 922 | 651 to 917 | 566 to 1002 | 691 to 877 | 631 to 937 | 649 to 919 | 490 to 1078 |
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 | 5576 | 3.6 |
Joe Biden | 5260 | 3.4 |
Jo Jorgensen | 5826 | 3.7 |
Howie Hawkins | 4202 | 2.7 |
Tulsi Gabbard | 5403 | 3.4 |
Dan Crenshaw | 3875 | 2.5 |
Justin Amash | 5154 | 3.3 |
Amy Klobuchar | 4229 | 2.7 |
Bernie Sanders | 6767 | 4.3 |
Andrew Yang | 6482 | 4.1 |
Elizabeth Warren | 5322 | 3.4 |
John Kasich | 3707 | 2.4 |
Jeb Bush | 3649 | 2.3 |
Rand Paul | 5360 | 3.4 |
Ted Cruz | 4501 | 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 | 5576 |
Joe Biden | 5260 |
Jo Jorgensen | 5826 |
Howie Hawkins | 4202 |
Tulsi Gabbard | 5403 |
Dan Crenshaw | 3875 |
Justin Amash | 5154 |
Amy Klobuchar | 4229 |
Bernie Sanders | 6767 |
Andrew Yang | 6482 |
Elizabeth Warren | 5322 |
John Kasich | 3707 |
Jeb Bush | 3649 |
Rand Paul | 5360 |
Ted Cruz | 4501 |
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 | 1028 |
Andrew Yang | 1000 |
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 | 665 to 721 | 536 to 784 | 684 to 595 | 571 to 703 | 598 to 452 | 563 to 691 | 679 to 640 | 653 to 773 | 597 to 819 | 704 to 672 | 666 to 538 | 650 to 523 | 494 to 624 | 544 to 384 | |
Joe Biden | 10/4/0 | 721 to 665 | 653 to 642 | 659 to 501 | 603 to 700 | 753 to 503 | 678 to 567 | 620 to 387 | 377 to 688 | 401 to 775 | 475 to 534 | 708 to 434 | 739 to 449 | 720 to 654 | 763 to 583 | |
Jo Jorgensen | 11/3/0 | 784 to 536 | 642 to 653 | 635 to 350 | 555 to 517 | 721 to 320 | 511 to 396 | 623 to 476 | 556 to 738 | 471 to 691 | 618 to 595 | 687 to 376 | 715 to 386 | 635 to 429 | 771 to 410 | |
Howie Hawkins | 2/11/1 | 595 to 684 | 501 to 659 | 350 to 635 | 342 to 662 | 499 to 457 | 396 to 555 | 433 to 486 | 304 to 746 | 288 to 777 | 426 to 535 | 481 to 461 | 508 to 508 | 474 to 625 | 561 to 598 | |
Tulsi Gabbard | 11/3/0 | 703 to 571 | 700 to 603 | 517 to 555 | 662 to 342 | 676 to 319 | 541 to 463 | 661 to 398 | 549 to 704 | 478 to 653 | 624 to 541 | 684 to 316 | 711 to 362 | 569 to 497 | 701 to 461 | |
Dan Crenshaw | 0/14/0 | 452 to 598 | 503 to 753 | 320 to 721 | 457 to 499 | 319 to 676 | 305 to 575 | 435 to 561 | 453 to 801 | 361 to 805 | 491 to 639 | 422 to 448 | 440 to 481 | 316 to 589 | 420 to 475 | |
Justin Amash | 8/6/0 | 691 to 563 | 567 to 678 | 396 to 511 | 555 to 396 | 463 to 541 | 575 to 305 | 509 to 496 | 504 to 739 | 418 to 705 | 532 to 609 | 558 to 362 | 605 to 387 | 529 to 419 | 664 to 430 | |
Amy Klobuchar | 5/9/0 | 640 to 679 | 387 to 620 | 476 to 623 | 486 to 433 | 398 to 661 | 561 to 435 | 496 to 509 | 329 to 751 | 259 to 786 | 361 to 543 | 518 to 364 | 560 to 428 | 533 to 617 | 610 to 577 | |
Bernie Sanders | 14/0/0 | 773 to 653 | 688 to 377 | 738 to 556 | 746 to 304 | 704 to 549 | 801 to 453 | 739 to 504 | 751 to 329 | 568 to 540 | 661 to 282 | 772 to 386 | 786 to 421 | 746 to 585 | 787 to 558 | |
Andrew Yang | 13/1/0 | 819 to 597 | 775 to 401 | 691 to 471 | 777 to 288 | 653 to 478 | 805 to 361 | 705 to 418 | 786 to 259 | 540 to 568 | 675 to 374 | 823 to 279 | 836 to 329 | 716 to 497 | 804 to 498 | |
Elizabeth Warren | 9/5/0 | 672 to 704 | 534 to 475 | 595 to 618 | 535 to 426 | 541 to 624 | 639 to 491 | 609 to 532 | 543 to 361 | 282 to 661 | 374 to 675 | 613 to 395 | 632 to 468 | 630 to 628 | 673 to 611 | |
John Kasich | 2/12/0 | 538 to 666 | 434 to 708 | 376 to 687 | 461 to 481 | 316 to 684 | 448 to 422 | 362 to 558 | 364 to 518 | 386 to 772 | 279 to 823 | 395 to 613 | 406 to 346 | 405 to 576 | 501 to 535 | |
Jeb Bush | 1/12/1 | 523 to 650 | 449 to 739 | 386 to 715 | 508 to 508 | 362 to 711 | 481 to 440 | 387 to 605 | 428 to 560 | 421 to 786 | 329 to 836 | 468 to 632 | 346 to 406 | 371 to 574 | 462 to 504 | |
Rand Paul | 7/7/0 | 624 to 494 | 654 to 720 | 429 to 635 | 625 to 474 | 497 to 569 | 589 to 316 | 419 to 529 | 617 to 533 | 585 to 746 | 497 to 716 | 628 to 630 | 576 to 405 | 574 to 371 | 593 to 318 | |
Ted Cruz | 4/10/0 | 384 to 544 | 583 to 763 | 410 to 771 | 598 to 561 | 461 to 701 | 475 to 420 | 430 to 664 | 577 to 610 | 558 to 787 | 498 to 804 | 611 to 673 | 535 to 501 | 504 to 462 | 318 to 593 |
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 | 8270 | 35.16% |
1 | 1897 | 8.07% |
2 | 1775 | 7.55% |
3 | 1921 | 8.17% |
4 | 1675 | 7.12% |
5 | 2077 | 8.83% |
6 | 1283 | 5.45% |
7 | 1270 | 5.40% |
8 | 1122 | 4.77% |
9 | 846 | 3.60% |
10 | 1384 | 5.88% |
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 | 698 | 59 | 73 | 73 | 65 | 78 | 68 | 77 | 76 | 63 | 238 |
Joe Biden | 524 | 124 | 98 | 119 | 130 | 123 | 113 | 130 | 81 | 48 | 78 |
Jo Jorgensen | 431 | 137 | 131 | 147 | 126 | 158 | 63 | 77 | 68 | 69 | 161 |
Howie Hawkins | 616 | 155 | 125 | 135 | 102 | 149 | 76 | 58 | 56 | 31 | 65 |
Tulsi Gabbard | 429 | 108 | 119 | 162 | 152 | 198 | 125 | 114 | 69 | 47 | 45 |
Dan Crenshaw | 645 | 148 | 134 | 153 | 92 | 142 | 68 | 71 | 50 | 33 | 32 |
Justin Amash | 535 | 128 | 126 | 136 | 111 | 156 | 63 | 56 | 67 | 64 | 126 |
Amy Klobuchar | 576 | 128 | 122 | 173 | 118 | 163 | 112 | 84 | 55 | 19 | 18 |
Bernie Sanders | 481 | 94 | 101 | 88 | 82 | 90 | 62 | 101 | 111 | 118 | 240 |
Andrew Yang | 370 | 107 | 110 | 122 | 129 | 167 | 124 | 123 | 122 | 83 | 111 |
Elizabeth Warren | 568 | 122 | 119 | 84 | 104 | 94 | 95 | 88 | 104 | 94 | 96 |
John Kasich | 629 | 138 | 135 | 157 | 138 | 171 | 84 | 54 | 35 | 11 | 16 |
Jeb Bush | 599 | 169 | 158 | 172 | 135 | 141 | 73 | 53 | 34 | 18 | 16 |
Rand Paul | 514 | 140 | 118 | 119 | 94 | 129 | 89 | 98 | 104 | 76 | 87 |
Ted Cruz | 655 | 140 | 106 | 81 | 97 | 118 | 68 | 86 | 90 | 72 | 55 |
Number of bullet votes: 48 (3.06%).
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.