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 | 31 |
Tulsi Gabbard | 33 |
Dan Crenshaw | 14 |
Justin Amash | 51 |
Amy Klobuchar | 13 |
Bernie Sanders | 191 |
Andrew Yang | 51 |
Elizabeth Warren | 33 |
John Kasich | 14 |
Jeb Bush | 8 |
Rand Paul | 33 |
Ted Cruz | 20 |
TOTAL: | 1194 |
The winner is Donald Trump with 22.0% of the vote
Approval vote totals:
Candidate | Number of Votes |
---|---|
Donald Trump | 370 |
Joe Biden | 452 |
Jo Jorgensen | 418 |
Howie Hawkins | 203 |
Tulsi Gabbard | 344 |
Dan Crenshaw | 160 |
Justin Amash | 315 |
Amy Klobuchar | 197 |
Bernie Sanders | 509 |
Andrew Yang | 467 |
Elizabeth Warren | 371 |
John Kasich | 153 |
Jeb Bush | 120 |
Rand Paul | 364 |
Ted Cruz | 247 |
Ballots Cast: | 1194 |
The winner is Bernie Sanders with 42.6% of the vote
Instant Runoff required 12 rounds:
Round 1:
Donald Trump | 232 |
Joe Biden | 103 |
Jo Jorgensen | 168 |
Howie Hawkins | 44 |
Tulsi Gabbard | 31 |
Dan Crenshaw | 21 |
Justin Amash | 81 |
Amy Klobuchar | 15 |
Bernie Sanders | 233 |
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 | 31 |
Dan Crenshaw | 21 |
Justin Amash | 82 |
Amy Klobuchar | 15 |
Bernie Sanders | 234 |
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 | 31 |
Dan Crenshaw | 21 |
Justin Amash | 82 |
Bernie Sanders | 236 |
Andrew Yang | 91 |
Elizabeth Warren | 69 |
John Kasich | 21 |
Rand Paul | 50 |
Ted Cruz | 35 |
Eliminated in this round:
Round 4:
Donald Trump | 235 |
Joe Biden | 115 |
Jo Jorgensen | 173 |
Howie Hawkins | 46 |
Tulsi Gabbard | 39 |
Justin Amash | 85 |
Bernie Sanders | 238 |
Andrew Yang | 94 |
Elizabeth Warren | 71 |
Rand Paul | 56 |
Ted Cruz | 42 |
Tulsi Gabbard eliminated in this round.
Round 5:
Donald Trump | 238 |
Joe Biden | 120 |
Jo Jorgensen | 182 |
Howie Hawkins | 48 |
Justin Amash | 93 |
Bernie Sanders | 242 |
Andrew Yang | 98 |
Elizabeth Warren | 72 |
Rand Paul | 59 |
Ted Cruz | 42 |
Ted Cruz eliminated in this round.
Round 6:
Donald Trump | 257 |
Joe Biden | 122 |
Jo Jorgensen | 185 |
Howie Hawkins | 49 |
Justin Amash | 94 |
Bernie Sanders | 244 |
Andrew Yang | 98 |
Elizabeth Warren | 72 |
Rand Paul | 73 |
Howie Hawkins eliminated in this round.
Round 7:
Donald Trump | 260 |
Joe Biden | 128 |
Jo Jorgensen | 187 |
Justin Amash | 94 |
Bernie Sanders | 277 |
Andrew Yang | 101 |
Elizabeth Warren | 74 |
Rand Paul | 73 |
Rand Paul eliminated in this round.
Round 8:
Donald Trump | 286 |
Joe Biden | 129 |
Jo Jorgensen | 202 |
Justin Amash | 118 |
Bernie Sanders | 278 |
Andrew Yang | 105 |
Elizabeth Warren | 76 |
Elizabeth Warren eliminated in this round.
Round 9:
Donald Trump | 286 |
Joe Biden | 146 |
Jo Jorgensen | 207 |
Justin Amash | 119 |
Bernie Sanders | 317 |
Andrew Yang | 119 |
Eliminated in this round:
Round 10:
Donald Trump | 301 |
Joe Biden | 176 |
Jo Jorgensen | 331 |
Bernie Sanders | 386 |
Joe Biden eliminated in this round.
Round 11:
Donald Trump | 313 |
Jo Jorgensen | 376 |
Bernie Sanders | 505 |
Donald Trump eliminated in this round.
Round 12:
Jo Jorgensen | 613 |
Bernie Sanders | 581 |
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 | 532 to 662 | 355 to 839 | 501 to 693 | 409 to 785 | 456 to 738 | 379 to 815 | 503 to 691 | 510 to 684 | 439 to 755 | 533 to 661 | 491 to 703 | 485 to 709 | 362 to 832 | 454 to 740 | |
Joe Biden | 6/8/0 | 662 to 532 | 518 to 676 | 583 to 611 | 506 to 688 | 628 to 566 | 572 to 622 | 611 to 583 | 473 to 721 | 371 to 823 | 523 to 671 | 618 to 576 | 630 to 564 | 589 to 605 | 645 to 549 | |
Jo Jorgensen | 14/0/0 | 839 to 355 | 676 to 518 | 761 to 433 | 669 to 525 | 824 to 370 | 729 to 465 | 715 to 479 | 613 to 581 | 598 to 596 | 673 to 521 | 817 to 377 | 844 to 350 | 809 to 385 | 844 to 350 | |
Howie Hawkins | 9/5/0 | 693 to 501 | 611 to 583 | 433 to 761 | 494 to 700 | 666 to 528 | 590 to 604 | 634 to 560 | 511 to 683 | 449 to 745 | 628 to 566 | 655 to 539 | 675 to 519 | 621 to 573 | 679 to 515 | |
Tulsi Gabbard | 13/1/0 | 785 to 409 | 688 to 506 | 525 to 669 | 700 to 494 | 823 to 371 | 719 to 475 | 810 to 384 | 616 to 578 | 614 to 580 | 714 to 480 | 859 to 335 | 863 to 331 | 731 to 463 | 802 to 392 | |
Dan Crenshaw | 5/8/1 | 738 to 456 | 566 to 628 | 370 to 824 | 528 to 666 | 371 to 823 | 509 to 685 | 603 to 591 | 517 to 677 | 478 to 716 | 597 to 597 | 655 to 539 | 682 to 512 | 569 to 625 | 715 to 479 | |
Justin Amash | 10/4/0 | 815 to 379 | 622 to 572 | 465 to 729 | 604 to 590 | 475 to 719 | 685 to 509 | 658 to 536 | 576 to 618 | 551 to 643 | 636 to 558 | 792 to 402 | 826 to 368 | 779 to 415 | 835 to 359 | |
Amy Klobuchar | 6/8/0 | 691 to 503 | 583 to 611 | 479 to 715 | 560 to 634 | 384 to 810 | 591 to 603 | 536 to 658 | 527 to 667 | 412 to 782 | 615 to 579 | 731 to 463 | 736 to 458 | 651 to 543 | 711 to 483 | |
Bernie Sanders | 11/3/0 | 684 to 510 | 721 to 473 | 581 to 613 | 683 to 511 | 578 to 616 | 677 to 517 | 618 to 576 | 667 to 527 | 557 to 637 | 717 to 477 | 727 to 467 | 727 to 467 | 674 to 520 | 706 to 488 | |
Andrew Yang | 12/2/0 | 755 to 439 | 823 to 371 | 596 to 598 | 745 to 449 | 580 to 614 | 716 to 478 | 643 to 551 | 782 to 412 | 637 to 557 | 801 to 393 | 868 to 326 | 857 to 337 | 743 to 451 | 788 to 406 | |
Elizabeth Warren | 6/7/1 | 661 to 533 | 671 to 523 | 521 to 673 | 566 to 628 | 480 to 714 | 597 to 597 | 558 to 636 | 579 to 615 | 477 to 717 | 393 to 801 | 671 to 523 | 695 to 499 | 639 to 555 | 682 to 512 | |
John Kasich | 4/10/0 | 703 to 491 | 576 to 618 | 377 to 817 | 539 to 655 | 335 to 859 | 539 to 655 | 402 to 792 | 463 to 731 | 467 to 727 | 326 to 868 | 523 to 671 | 754 to 440 | 615 to 579 | 736 to 458 | |
Jeb Bush | 2/12/0 | 709 to 485 | 564 to 630 | 350 to 844 | 519 to 675 | 331 to 863 | 512 to 682 | 368 to 826 | 458 to 736 | 467 to 727 | 337 to 857 | 499 to 695 | 440 to 754 | 548 to 646 | 710 to 484 | |
Rand Paul | 5/9/0 | 832 to 362 | 605 to 589 | 385 to 809 | 573 to 621 | 463 to 731 | 625 to 569 | 415 to 779 | 543 to 651 | 520 to 674 | 451 to 743 | 555 to 639 | 579 to 615 | 646 to 548 | 866 to 328 | |
Ted Cruz | 1/13/0 | 740 to 454 | 549 to 645 | 350 to 844 | 515 to 679 | 392 to 802 | 479 to 715 | 359 to 835 | 483 to 711 | 488 to 706 | 406 to 788 | 512 to 682 | 458 to 736 | 484 to 710 | 328 to 866 |
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 | 3720 | 3.1 |
Joe Biden | 4046 | 3.4 |
Jo Jorgensen | 4871 | 4.1 |
Howie Hawkins | 3158 | 2.6 |
Tulsi Gabbard | 4326 | 3.6 |
Dan Crenshaw | 2926 | 2.5 |
Justin Amash | 4216 | 3.5 |
Amy Klobuchar | 3189 | 2.7 |
Bernie Sanders | 5324 | 4.5 |
Andrew Yang | 5274 | 4.4 |
Elizabeth Warren | 4205 | 3.5 |
John Kasich | 2744 | 2.3 |
Jeb Bush | 2607 | 2.2 |
Rand Paul | 4210 | 3.5 |
Ted Cruz | 3219 | 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 | 3720 |
Joe Biden | 4046 |
Jo Jorgensen | 4871 |
Howie Hawkins | 3158 |
Tulsi Gabbard | 4326 |
Dan Crenshaw | 2926 |
Justin Amash | 4216 |
Amy Klobuchar | 3189 |
Bernie Sanders | 5324 |
Andrew Yang | 5274 |
Elizabeth Warren | 4205 |
John Kasich | 2744 |
Jeb Bush | 2607 |
Rand Paul | 4210 |
Ted Cruz | 3219 |
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 | 760 |
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 | 461 to 589 | 326 to 674 | 474 to 482 | 373 to 596 | 392 to 369 | 352 to 591 | 466 to 516 | 459 to 622 | 396 to 685 | 489 to 551 | 458 to 438 | 445 to 426 | 307 to 524 | 362 to 315 | |
Joe Biden | 9/5/0 | 589 to 461 | 499 to 527 | 512 to 375 | 441 to 566 | 589 to 381 | 517 to 449 | 476 to 274 | 275 to 537 | 278 to 625 | 344 to 415 | 553 to 311 | 577 to 317 | 554 to 516 | 596 to 429 | |
Jo Jorgensen | 12/2/0 | 674 to 326 | 527 to 499 | 551 to 257 | 467 to 408 | 607 to 224 | 423 to 309 | 530 to 364 | 465 to 569 | 400 to 555 | 512 to 471 | 594 to 275 | 619 to 267 | 536 to 307 | 662 to 259 | |
Howie Hawkins | 5/9/0 | 482 to 474 | 375 to 512 | 257 to 551 | 245 to 561 | 393 to 365 | 303 to 469 | 342 to 390 | 225 to 587 | 214 to 636 | 320 to 429 | 384 to 365 | 410 to 384 | 364 to 510 | 446 to 437 | |
Tulsi Gabbard | 11/3/0 | 596 to 373 | 566 to 441 | 408 to 467 | 561 to 245 | 566 to 239 | 438 to 379 | 547 to 293 | 452 to 542 | 380 to 519 | 501 to 418 | 584 to 226 | 603 to 246 | 461 to 387 | 585 to 320 | |
Dan Crenshaw | 1/13/0 | 369 to 392 | 381 to 589 | 224 to 607 | 365 to 393 | 239 to 566 | 226 to 482 | 340 to 442 | 357 to 634 | 288 to 651 | 385 to 517 | 345 to 350 | 356 to 365 | 237 to 473 | 336 to 323 | |
Justin Amash | 8/6/0 | 591 to 352 | 449 to 517 | 309 to 423 | 469 to 303 | 379 to 438 | 482 to 226 | 420 to 389 | 415 to 576 | 352 to 563 | 431 to 488 | 469 to 265 | 512 to 273 | 441 to 315 | 559 to 279 | |
Amy Klobuchar | 6/8/0 | 516 to 466 | 274 to 476 | 364 to 530 | 390 to 342 | 293 to 547 | 442 to 340 | 389 to 420 | 246 to 589 | 187 to 652 | 265 to 445 | 413 to 270 | 455 to 314 | 417 to 502 | 492 to 420 | |
Bernie Sanders | 13/1/0 | 622 to 459 | 537 to 275 | 569 to 465 | 587 to 225 | 542 to 452 | 634 to 357 | 576 to 415 | 589 to 246 | 430 to 434 | 504 to 207 | 615 to 294 | 628 to 311 | 581 to 478 | 631 to 416 | |
Andrew Yang | 14/0/0 | 685 to 396 | 625 to 278 | 555 to 400 | 636 to 214 | 519 to 380 | 651 to 288 | 563 to 352 | 652 to 187 | 434 to 430 | 542 to 277 | 682 to 204 | 691 to 231 | 577 to 405 | 661 to 355 | |
Elizabeth Warren | 9/5/0 | 551 to 489 | 415 to 344 | 471 to 512 | 429 to 320 | 418 to 501 | 517 to 385 | 488 to 431 | 445 to 265 | 207 to 504 | 277 to 542 | 491 to 285 | 515 to 338 | 501 to 505 | 542 to 450 | |
John Kasich | 3/11/0 | 438 to 458 | 311 to 553 | 275 to 594 | 365 to 384 | 226 to 584 | 350 to 345 | 265 to 469 | 270 to 413 | 294 to 615 | 204 to 682 | 285 to 491 | 324 to 247 | 312 to 476 | 403 to 382 | |
Jeb Bush | 1/12/1 | 426 to 445 | 317 to 577 | 267 to 619 | 384 to 410 | 246 to 603 | 365 to 356 | 273 to 512 | 314 to 455 | 311 to 628 | 231 to 691 | 338 to 515 | 247 to 324 | 267 to 476 | 368 to 368 | |
Rand Paul | 8/6/0 | 524 to 307 | 516 to 554 | 307 to 536 | 510 to 364 | 387 to 461 | 473 to 237 | 315 to 441 | 502 to 417 | 478 to 581 | 405 to 577 | 505 to 501 | 476 to 312 | 476 to 267 | 496 to 189 | |
Ted Cruz | 0/13/1 | 315 to 362 | 429 to 596 | 259 to 662 | 437 to 446 | 320 to 585 | 323 to 336 | 279 to 559 | 420 to 492 | 416 to 631 | 355 to 661 | 450 to 542 | 382 to 403 | 368 to 368 | 189 to 496 |
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 | 6494 | 36.26% |
1 | 1430 | 7.98% |
2 | 1226 | 6.85% |
3 | 1337 | 7.47% |
4 | 1237 | 6.91% |
5 | 1462 | 8.16% |
6 | 978 | 5.46% |
7 | 969 | 5.41% |
8 | 913 | 5.10% |
9 | 711 | 3.97% |
10 | 1153 | 6.44% |
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 | 51 | 66 | 43 | 60 | 42 | 50 | 47 | 40 | 156 |
Joe Biden | 399 | 95 | 70 | 86 | 101 | 93 | 87 | 97 | 69 | 39 | 58 |
Jo Jorgensen | 307 | 101 | 88 | 107 | 85 | 109 | 52 | 63 | 59 | 67 | 156 |
Howie Hawkins | 494 | 119 | 88 | 89 | 80 | 97 | 55 | 47 | 46 | 26 | 53 |
Tulsi Gabbard | 316 | 76 | 85 | 111 | 118 | 140 | 111 | 101 | 60 | 38 | 38 |
Dan Crenshaw | 521 | 112 | 90 | 95 | 71 | 99 | 53 | 54 | 44 | 28 | 27 |
Justin Amash | 403 | 95 | 84 | 95 | 76 | 107 | 48 | 45 | 62 | 60 | 119 |
Amy Klobuchar | 461 | 91 | 81 | 127 | 93 | 121 | 81 | 65 | 43 | 17 | 14 |
Bernie Sanders | 377 | 66 | 69 | 57 | 55 | 60 | 49 | 69 | 85 | 98 | 209 |
Andrew Yang | 270 | 71 | 78 | 82 | 96 | 119 | 94 | 98 | 105 | 78 | 103 |
Elizabeth Warren | 446 | 89 | 74 | 52 | 79 | 62 | 72 | 64 | 86 | 82 | 88 |
John Kasich | 504 | 102 | 99 | 113 | 102 | 122 | 64 | 38 | 27 | 9 | 14 |
Jeb Bush | 478 | 138 | 115 | 130 | 110 | 98 | 43 | 34 | 23 | 11 | 14 |
Rand Paul | 397 | 107 | 81 | 75 | 65 | 88 | 76 | 83 | 86 | 69 | 67 |
Ted Cruz | 532 | 118 | 73 | 52 | 63 | 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.