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 | 263 |
Joe Biden | 248 |
Jo Jorgensen | 191 |
Howie Hawkins | 32 |
Tulsi Gabbard | 34 |
Dan Crenshaw | 14 |
Justin Amash | 51 |
Amy Klobuchar | 13 |
Bernie Sanders | 192 |
Andrew Yang | 51 |
Elizabeth Warren | 33 |
John Kasich | 14 |
Jeb Bush | 8 |
Rand Paul | 33 |
Ted Cruz | 20 |
TOTAL: | 1197 |
The winner is Donald Trump with 22.0% of the vote
Approval vote totals:
Candidate | Number of Votes |
---|---|
Donald Trump | 371 |
Joe Biden | 452 |
Jo Jorgensen | 418 |
Howie Hawkins | 204 |
Tulsi Gabbard | 347 |
Dan Crenshaw | 161 |
Justin Amash | 316 |
Amy Klobuchar | 197 |
Bernie Sanders | 511 |
Andrew Yang | 469 |
Elizabeth Warren | 371 |
John Kasich | 154 |
Jeb Bush | 121 |
Rand Paul | 364 |
Ted Cruz | 247 |
Ballots Cast: | 1197 |
The winner is Bernie Sanders with 42.7% of the vote
Instant Runoff required 13 rounds:
Round 1:
Donald Trump | 232 |
Joe Biden | 103 |
Jo Jorgensen | 168 |
Howie Hawkins | 44 |
Tulsi Gabbard | 32 |
Dan Crenshaw | 22 |
Justin Amash | 81 |
Amy Klobuchar | 15 |
Bernie Sanders | 234 |
Andrew Yang | 90 |
Elizabeth Warren | 68 |
John Kasich | 18 |
Jeb Bush | 8 |
Rand Paul | 50 |
Ted Cruz | 32 |
Jeb Bush eliminated in this round.
Round 2:
Donald Trump | 233 |
Joe Biden | 103 |
Jo Jorgensen | 168 |
Howie Hawkins | 44 |
Tulsi Gabbard | 32 |
Dan Crenshaw | 22 |
Justin Amash | 82 |
Amy Klobuchar | 15 |
Bernie Sanders | 235 |
Andrew Yang | 90 |
Elizabeth Warren | 68 |
John Kasich | 20 |
Rand Paul | 50 |
Ted Cruz | 35 |
Amy Klobuchar eliminated in this round.
Round 3:
Donald Trump | 233 |
Joe Biden | 110 |
Jo Jorgensen | 169 |
Howie Hawkins | 46 |
Tulsi Gabbard | 32 |
Dan Crenshaw | 22 |
Justin Amash | 82 |
Bernie Sanders | 237 |
Andrew Yang | 91 |
Elizabeth Warren | 69 |
John Kasich | 21 |
Rand Paul | 50 |
Ted Cruz | 35 |
John Kasich eliminated in this round.
Round 4:
Donald Trump | 234 |
Joe Biden | 114 |
Jo Jorgensen | 169 |
Howie Hawkins | 46 |
Tulsi Gabbard | 35 |
Dan Crenshaw | 23 |
Justin Amash | 84 |
Bernie Sanders | 239 |
Andrew Yang | 93 |
Elizabeth Warren | 71 |
Rand Paul | 53 |
Ted Cruz | 36 |
Dan Crenshaw eliminated in this round.
Round 5:
Donald Trump | 235 |
Joe Biden | 115 |
Jo Jorgensen | 173 |
Howie Hawkins | 46 |
Tulsi Gabbard | 41 |
Justin Amash | 85 |
Bernie Sanders | 239 |
Andrew Yang | 94 |
Elizabeth Warren | 71 |
Rand Paul | 56 |
Ted Cruz | 42 |
Tulsi Gabbard eliminated in this round.
Round 6:
Donald Trump | 238 |
Joe Biden | 120 |
Jo Jorgensen | 182 |
Howie Hawkins | 49 |
Justin Amash | 93 |
Bernie Sanders | 244 |
Andrew Yang | 98 |
Elizabeth Warren | 72 |
Rand Paul | 59 |
Ted Cruz | 42 |
Ted Cruz eliminated in this round.
Round 7:
Donald Trump | 257 |
Joe Biden | 122 |
Jo Jorgensen | 185 |
Howie Hawkins | 50 |
Justin Amash | 94 |
Bernie Sanders | 246 |
Andrew Yang | 98 |
Elizabeth Warren | 72 |
Rand Paul | 73 |
Howie Hawkins eliminated in this round.
Round 8:
Donald Trump | 260 |
Joe Biden | 128 |
Jo Jorgensen | 187 |
Justin Amash | 94 |
Bernie Sanders | 280 |
Andrew Yang | 101 |
Elizabeth Warren | 74 |
Rand Paul | 73 |
Rand Paul eliminated in this round.
Round 9:
Donald Trump | 286 |
Joe Biden | 129 |
Jo Jorgensen | 202 |
Justin Amash | 118 |
Bernie Sanders | 281 |
Andrew Yang | 105 |
Elizabeth Warren | 76 |
Elizabeth Warren eliminated in this round.
Round 10:
Donald Trump | 286 |
Joe Biden | 146 |
Jo Jorgensen | 207 |
Justin Amash | 119 |
Bernie Sanders | 320 |
Andrew Yang | 119 |
Eliminated in this round:
Round 11:
Donald Trump | 301 |
Joe Biden | 176 |
Jo Jorgensen | 331 |
Bernie Sanders | 389 |
Joe Biden eliminated in this round.
Round 12:
Donald Trump | 313 |
Jo Jorgensen | 376 |
Bernie Sanders | 508 |
Donald Trump eliminated in this round.
Round 13:
Jo Jorgensen | 613 |
Bernie Sanders | 584 |
And the winner is: Jo Jorgensen
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 | 534 to 663 | 357 to 840 | 502 to 695 | 409 to 788 | 457 to 740 | 381 to 816 | 504 to 693 | 510 to 687 | 440 to 757 | 534 to 663 | 492 to 705 | 487 to 710 | 364 to 833 | 456 to 741 | |
Joe Biden | 6/8/0 | 663 to 534 | 520 to 677 | 583 to 614 | 506 to 691 | 628 to 569 | 573 to 624 | 611 to 586 | 473 to 724 | 372 to 825 | 523 to 674 | 618 to 579 | 631 to 566 | 590 to 607 | 647 to 550 | |
Jo Jorgensen | 14/0/0 | 840 to 357 | 677 to 520 | 762 to 435 | 669 to 528 | 825 to 372 | 730 to 467 | 716 to 481 | 613 to 584 | 599 to 598 | 673 to 524 | 818 to 379 | 845 to 352 | 810 to 387 | 845 to 352 | |
Howie Hawkins | 9/5/0 | 695 to 502 | 614 to 583 | 435 to 762 | 494 to 703 | 667 to 530 | 592 to 605 | 636 to 561 | 512 to 685 | 450 to 747 | 630 to 567 | 657 to 540 | 678 to 519 | 623 to 574 | 681 to 516 | |
Tulsi Gabbard | 13/1/0 | 788 to 409 | 691 to 506 | 528 to 669 | 703 to 494 | 825 to 372 | 722 to 475 | 813 to 384 | 618 to 579 | 617 to 580 | 717 to 480 | 862 to 335 | 866 to 331 | 734 to 463 | 805 to 392 | |
Dan Crenshaw | 6/8/0 | 740 to 457 | 569 to 628 | 372 to 825 | 530 to 667 | 372 to 825 | 511 to 686 | 606 to 591 | 518 to 679 | 479 to 718 | 599 to 598 | 657 to 540 | 684 to 513 | 571 to 626 | 717 to 480 | |
Justin Amash | 10/4/0 | 816 to 381 | 624 to 573 | 467 to 730 | 605 to 592 | 475 to 722 | 686 to 511 | 660 to 537 | 576 to 621 | 552 to 645 | 638 to 559 | 793 to 404 | 827 to 370 | 782 to 415 | 836 to 361 | |
Amy Klobuchar | 6/8/0 | 693 to 504 | 586 to 611 | 481 to 716 | 561 to 636 | 384 to 813 | 591 to 606 | 537 to 660 | 528 to 669 | 413 to 784 | 617 to 580 | 732 to 465 | 738 to 459 | 652 to 545 | 713 to 484 | |
Bernie Sanders | 11/3/0 | 687 to 510 | 724 to 473 | 584 to 613 | 685 to 512 | 579 to 618 | 679 to 518 | 621 to 576 | 669 to 528 | 560 to 637 | 720 to 477 | 729 to 468 | 730 to 467 | 677 to 520 | 709 to 488 | |
Andrew Yang | 12/2/0 | 757 to 440 | 825 to 372 | 598 to 599 | 747 to 450 | 580 to 617 | 718 to 479 | 645 to 552 | 784 to 413 | 637 to 560 | 802 to 395 | 870 to 327 | 859 to 338 | 746 to 451 | 790 to 407 | |
Elizabeth Warren | 6/8/0 | 663 to 534 | 674 to 523 | 524 to 673 | 567 to 630 | 480 to 717 | 598 to 599 | 559 to 638 | 580 to 617 | 477 to 720 | 395 to 802 | 672 to 525 | 697 to 500 | 641 to 556 | 684 to 513 | |
John Kasich | 4/10/0 | 705 to 492 | 579 to 618 | 379 to 818 | 540 to 657 | 335 to 862 | 540 to 657 | 404 to 793 | 465 to 732 | 468 to 729 | 327 to 870 | 525 to 672 | 756 to 441 | 617 to 580 | 738 to 459 | |
Jeb Bush | 2/12/0 | 710 to 487 | 566 to 631 | 352 to 845 | 519 to 678 | 331 to 866 | 513 to 684 | 370 to 827 | 459 to 738 | 467 to 730 | 338 to 859 | 500 to 697 | 441 to 756 | 550 to 647 | 712 to 485 | |
Rand Paul | 5/9/0 | 833 to 364 | 607 to 590 | 387 to 810 | 574 to 623 | 463 to 734 | 626 to 571 | 415 to 782 | 545 to 652 | 520 to 677 | 451 to 746 | 556 to 641 | 580 to 617 | 647 to 550 | 867 to 330 | |
Ted Cruz | 1/13/0 | 741 to 456 | 550 to 647 | 352 to 845 | 516 to 681 | 392 to 805 | 480 to 717 | 361 to 836 | 484 to 713 | 488 to 709 | 407 to 790 | 513 to 684 | 459 to 738 | 485 to 712 | 330 to 867 |
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 | 3733 | 3.1 |
Joe Biden | 4055 | 3.4 |
Jo Jorgensen | 4877 | 4.1 |
Howie Hawkins | 3172 | 2.6 |
Tulsi Gabbard | 4349 | 3.6 |
Dan Crenshaw | 2941 | 2.5 |
Justin Amash | 4226 | 3.5 |
Amy Klobuchar | 3202 | 2.7 |
Bernie Sanders | 5347 | 4.5 |
Andrew Yang | 5286 | 4.4 |
Elizabeth Warren | 4221 | 3.5 |
John Kasich | 2758 | 2.3 |
Jeb Bush | 2617 | 2.2 |
Rand Paul | 4221 | 3.5 |
Ted Cruz | 3226 | 2.7 |
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 | 3733 |
Joe Biden | 4055 |
Jo Jorgensen | 4877 |
Howie Hawkins | 3172 |
Tulsi Gabbard | 4349 |
Dan Crenshaw | 2941 |
Justin Amash | 4226 |
Amy Klobuchar | 3202 |
Bernie Sanders | 5347 |
Andrew Yang | 5286 |
Elizabeth Warren | 4221 |
John Kasich | 2758 |
Jeb Bush | 2617 |
Rand Paul | 4221 |
Ted Cruz | 3226 |
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 | 763 |
Andrew Yang | 764 |
And the winner is: Andrew Yang
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 | 4/10/0 | 462 to 589 | 328 to 675 | 475 to 484 | 373 to 599 | 393 to 371 | 354 to 592 | 467 to 518 | 459 to 625 | 397 to 687 | 490 to 553 | 459 to 440 | 447 to 427 | 309 to 525 | 365 to 315 | |
Joe Biden | 9/5/0 | 589 to 462 | 500 to 529 | 512 to 378 | 441 to 569 | 589 to 384 | 518 to 451 | 476 to 277 | 275 to 540 | 279 to 627 | 344 to 417 | 553 to 314 | 578 to 318 | 555 to 517 | 598 to 430 | |
Jo Jorgensen | 12/2/0 | 675 to 328 | 529 to 500 | 551 to 258 | 467 to 411 | 607 to 225 | 423 to 310 | 530 to 366 | 465 to 572 | 400 to 557 | 513 to 473 | 594 to 277 | 621 to 268 | 537 to 309 | 663 to 260 | |
Howie Hawkins | 5/9/0 | 484 to 475 | 378 to 512 | 258 to 551 | 246 to 563 | 393 to 366 | 304 to 470 | 343 to 391 | 226 to 589 | 215 to 638 | 322 to 430 | 385 to 366 | 412 to 384 | 366 to 511 | 448 to 437 | |
Tulsi Gabbard | 11/3/0 | 599 to 373 | 569 to 441 | 411 to 467 | 563 to 246 | 568 to 240 | 441 to 379 | 549 to 293 | 453 to 543 | 382 to 519 | 503 to 418 | 586 to 227 | 605 to 247 | 464 to 387 | 588 to 320 | |
Dan Crenshaw | 1/13/0 | 371 to 393 | 384 to 589 | 225 to 607 | 366 to 393 | 240 to 568 | 227 to 483 | 341 to 443 | 358 to 636 | 289 to 653 | 387 to 518 | 346 to 351 | 359 to 365 | 239 to 474 | 338 to 323 | |
Justin Amash | 8/6/0 | 592 to 354 | 451 to 518 | 310 to 423 | 470 to 304 | 379 to 441 | 483 to 227 | 421 to 390 | 415 to 579 | 353 to 564 | 432 to 490 | 470 to 267 | 514 to 274 | 443 to 316 | 560 to 280 | |
Amy Klobuchar | 6/8/0 | 518 to 467 | 277 to 476 | 366 to 530 | 391 to 343 | 293 to 549 | 443 to 341 | 390 to 421 | 246 to 591 | 188 to 654 | 266 to 446 | 414 to 272 | 457 to 315 | 419 to 503 | 494 to 420 | |
Bernie Sanders | 13/1/0 | 625 to 459 | 540 to 275 | 572 to 465 | 589 to 226 | 543 to 453 | 636 to 358 | 579 to 415 | 591 to 246 | 433 to 434 | 506 to 207 | 617 to 295 | 630 to 312 | 584 to 478 | 634 to 416 | |
Andrew Yang | 14/0/0 | 687 to 397 | 627 to 279 | 557 to 400 | 638 to 215 | 519 to 382 | 653 to 289 | 564 to 353 | 654 to 188 | 434 to 433 | 543 to 279 | 684 to 205 | 693 to 232 | 578 to 406 | 663 to 356 | |
Elizabeth Warren | 9/5/0 | 553 to 490 | 417 to 344 | 473 to 513 | 430 to 322 | 418 to 503 | 518 to 387 | 490 to 432 | 446 to 266 | 207 to 506 | 279 to 543 | 492 to 287 | 516 to 339 | 503 to 505 | 544 to 451 | |
John Kasich | 3/11/0 | 440 to 459 | 314 to 553 | 277 to 594 | 366 to 385 | 227 to 586 | 351 to 346 | 267 to 470 | 272 to 414 | 295 to 617 | 205 to 684 | 287 to 492 | 326 to 248 | 314 to 477 | 406 to 382 | |
Jeb Bush | 1/12/1 | 427 to 447 | 318 to 578 | 268 to 621 | 384 to 412 | 247 to 605 | 365 to 359 | 274 to 514 | 315 to 457 | 312 to 630 | 232 to 693 | 339 to 516 | 248 to 326 | 268 to 477 | 369 to 369 | |
Rand Paul | 8/6/0 | 525 to 309 | 517 to 555 | 309 to 537 | 511 to 366 | 387 to 464 | 474 to 239 | 316 to 443 | 503 to 419 | 478 to 584 | 406 to 578 | 505 to 503 | 477 to 314 | 477 to 268 | 497 to 190 | |
Ted Cruz | 0/13/1 | 315 to 365 | 430 to 598 | 260 to 663 | 437 to 448 | 320 to 588 | 323 to 338 | 280 to 560 | 420 to 494 | 416 to 634 | 356 to 663 | 451 to 544 | 382 to 406 | 369 to 369 | 190 to 497 |
And the Condorcet winner is: Andrew Yang.
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 | 6499 | 36.20% |
1 | 1430 | 7.96% |
2 | 1232 | 6.86% |
3 | 1347 | 7.50% |
4 | 1241 | 6.91% |
5 | 1466 | 8.16% |
6 | 983 | 5.47% |
7 | 973 | 5.42% |
8 | 917 | 5.11% |
9 | 713 | 3.97% |
10 | 1154 | 6.43% |
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 | 589 | 50 | 52 | 66 | 43 | 61 | 43 | 50 | 47 | 40 | 156 |
Joe Biden | 399 | 95 | 72 | 86 | 101 | 94 | 87 | 97 | 69 | 39 | 58 |
Jo Jorgensen | 308 | 101 | 88 | 109 | 85 | 109 | 52 | 63 | 59 | 67 | 156 |
Howie Hawkins | 494 | 119 | 88 | 91 | 80 | 97 | 55 | 47 | 47 | 26 | 53 |
Tulsi Gabbard | 316 | 76 | 85 | 111 | 118 | 140 | 112 | 102 | 60 | 38 | 39 |
Dan Crenshaw | 521 | 112 | 90 | 97 | 71 | 99 | 53 | 54 | 44 | 29 | 27 |
Justin Amash | 404 | 95 | 84 | 96 | 76 | 107 | 48 | 46 | 62 | 60 | 119 |
Amy Klobuchar | 461 | 91 | 81 | 128 | 94 | 121 | 82 | 65 | 43 | 17 | 14 |
Bernie Sanders | 377 | 66 | 69 | 57 | 55 | 60 | 50 | 69 | 86 | 99 | 209 |
Andrew Yang | 271 | 71 | 78 | 82 | 96 | 120 | 94 | 99 | 105 | 78 | 103 |
Elizabeth Warren | 446 | 89 | 75 | 52 | 79 | 62 | 73 | 64 | 87 | 82 | 88 |
John Kasich | 504 | 102 | 99 | 114 | 103 | 122 | 64 | 39 | 27 | 9 | 14 |
Jeb Bush | 479 | 138 | 116 | 130 | 110 | 98 | 43 | 34 | 24 | 11 | 14 |
Rand Paul | 397 | 107 | 82 | 75 | 66 | 89 | 76 | 83 | 86 | 69 | 67 |
Ted Cruz | 533 | 118 | 73 | 53 | 64 | 87 | 51 | 61 | 71 | 49 | 37 |
Number of bullet votes: 30 (2.51%).
Number of "approval" votes: 16 (1%).
Use the form below to look at the results for other parties or to toggle the inclusion of test runs.