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 | 260 |
Joe Biden | 246 |
Jo Jorgensen | 191 |
Howie Hawkins | 30 |
Tulsi Gabbard | 32 |
Dan Crenshaw | 14 |
Justin Amash | 51 |
Amy Klobuchar | 13 |
Bernie Sanders | 188 |
Andrew Yang | 51 |
Elizabeth Warren | 33 |
John Kasich | 14 |
Jeb Bush | 7 |
Rand Paul | 33 |
Ted Cruz | 20 |
TOTAL: | 1183 |
The winner is Donald Trump with 22.0% of the vote
Approval vote totals:
Candidate | Number of Votes |
---|---|
Donald Trump | 365 |
Joe Biden | 448 |
Jo Jorgensen | 416 |
Howie Hawkins | 200 |
Tulsi Gabbard | 338 |
Dan Crenshaw | 158 |
Justin Amash | 314 |
Amy Klobuchar | 197 |
Bernie Sanders | 505 |
Andrew Yang | 464 |
Elizabeth Warren | 368 |
John Kasich | 151 |
Jeb Bush | 118 |
Rand Paul | 360 |
Ted Cruz | 246 |
Ballots Cast: | 1183 |
The winner is Bernie Sanders with 42.7% of the vote
Instant Runoff required 13 rounds:
Round 1:
Donald Trump | 230 |
Joe Biden | 102 |
Jo Jorgensen | 168 |
Howie Hawkins | 43 |
Tulsi Gabbard | 29 |
Dan Crenshaw | 20 |
Justin Amash | 81 |
Amy Klobuchar | 15 |
Bernie Sanders | 230 |
Andrew Yang | 90 |
Elizabeth Warren | 68 |
John Kasich | 18 |
Jeb Bush | 8 |
Rand Paul | 49 |
Ted Cruz | 32 |
Jeb Bush eliminated in this round.
Round 2:
Donald Trump | 231 |
Joe Biden | 102 |
Jo Jorgensen | 168 |
Howie Hawkins | 43 |
Tulsi Gabbard | 29 |
Dan Crenshaw | 20 |
Justin Amash | 82 |
Amy Klobuchar | 15 |
Bernie Sanders | 231 |
Andrew Yang | 90 |
Elizabeth Warren | 68 |
John Kasich | 20 |
Rand Paul | 49 |
Ted Cruz | 35 |
Amy Klobuchar eliminated in this round.
Round 3:
Donald Trump | 231 |
Joe Biden | 109 |
Jo Jorgensen | 169 |
Howie Hawkins | 45 |
Tulsi Gabbard | 29 |
Dan Crenshaw | 20 |
Justin Amash | 82 |
Bernie Sanders | 233 |
Andrew Yang | 91 |
Elizabeth Warren | 69 |
John Kasich | 21 |
Rand Paul | 49 |
Ted Cruz | 35 |
Dan Crenshaw eliminated in this round.
Round 4:
Donald Trump | 232 |
Joe Biden | 110 |
Jo Jorgensen | 173 |
Howie Hawkins | 45 |
Tulsi Gabbard | 32 |
Justin Amash | 83 |
Bernie Sanders | 233 |
Andrew Yang | 92 |
Elizabeth Warren | 69 |
John Kasich | 23 |
Rand Paul | 51 |
Ted Cruz | 40 |
John Kasich eliminated in this round.
Round 5:
Donald Trump | 233 |
Joe Biden | 114 |
Jo Jorgensen | 173 |
Howie Hawkins | 45 |
Tulsi Gabbard | 36 |
Justin Amash | 85 |
Bernie Sanders | 235 |
Andrew Yang | 94 |
Elizabeth Warren | 71 |
Rand Paul | 55 |
Ted Cruz | 42 |
Tulsi Gabbard eliminated in this round.
Round 6:
Donald Trump | 236 |
Joe Biden | 118 |
Jo Jorgensen | 181 |
Howie Hawkins | 46 |
Justin Amash | 93 |
Bernie Sanders | 239 |
Andrew Yang | 98 |
Elizabeth Warren | 72 |
Rand Paul | 58 |
Ted Cruz | 42 |
Ted Cruz eliminated in this round.
Round 7:
Donald Trump | 255 |
Joe Biden | 120 |
Jo Jorgensen | 184 |
Howie Hawkins | 47 |
Justin Amash | 94 |
Bernie Sanders | 241 |
Andrew Yang | 98 |
Elizabeth Warren | 72 |
Rand Paul | 72 |
Howie Hawkins eliminated in this round.
Round 8:
Donald Trump | 256 |
Joe Biden | 126 |
Jo Jorgensen | 186 |
Justin Amash | 94 |
Bernie Sanders | 274 |
Andrew Yang | 101 |
Elizabeth Warren | 74 |
Rand Paul | 72 |
Rand Paul eliminated in this round.
Round 9:
Donald Trump | 281 |
Joe Biden | 127 |
Jo Jorgensen | 201 |
Justin Amash | 118 |
Bernie Sanders | 275 |
Andrew Yang | 105 |
Elizabeth Warren | 76 |
Elizabeth Warren eliminated in this round.
Round 10:
Donald Trump | 281 |
Joe Biden | 144 |
Jo Jorgensen | 206 |
Justin Amash | 119 |
Bernie Sanders | 314 |
Andrew Yang | 119 |
Eliminated in this round:
Round 11:
Donald Trump | 296 |
Joe Biden | 174 |
Jo Jorgensen | 330 |
Bernie Sanders | 383 |
Joe Biden eliminated in this round.
Round 12:
Donald Trump | 307 |
Jo Jorgensen | 375 |
Bernie Sanders | 501 |
Donald Trump eliminated in this round.
Round 13:
Jo Jorgensen | 607 |
Bernie Sanders | 576 |
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 | 527 to 656 | 349 to 834 | 498 to 685 | 405 to 778 | 451 to 732 | 373 to 810 | 496 to 687 | 504 to 679 | 434 to 749 | 528 to 655 | 484 to 699 | 479 to 704 | 357 to 826 | 448 to 735 | |
Joe Biden | 6/8/0 | 656 to 527 | 515 to 668 | 578 to 605 | 504 to 679 | 623 to 560 | 566 to 617 | 606 to 577 | 468 to 715 | 366 to 817 | 518 to 665 | 613 to 570 | 625 to 558 | 584 to 599 | 639 to 544 | |
Jo Jorgensen | 14/0/0 | 834 to 349 | 668 to 515 | 757 to 426 | 666 to 517 | 820 to 363 | 723 to 460 | 711 to 472 | 607 to 576 | 594 to 589 | 668 to 515 | 810 to 373 | 836 to 347 | 801 to 382 | 837 to 346 | |
Howie Hawkins | 9/5/0 | 685 to 498 | 605 to 578 | 426 to 757 | 492 to 691 | 662 to 521 | 584 to 599 | 628 to 555 | 507 to 676 | 445 to 738 | 622 to 561 | 648 to 535 | 668 to 515 | 613 to 570 | 672 to 511 | |
Tulsi Gabbard | 13/1/0 | 778 to 405 | 679 to 504 | 517 to 666 | 691 to 492 | 814 to 369 | 709 to 474 | 801 to 382 | 608 to 575 | 605 to 578 | 704 to 479 | 849 to 334 | 854 to 329 | 721 to 462 | 792 to 391 | |
Dan Crenshaw | 5/9/0 | 732 to 451 | 560 to 623 | 363 to 820 | 521 to 662 | 369 to 814 | 503 to 680 | 598 to 585 | 510 to 673 | 472 to 711 | 590 to 593 | 650 to 533 | 676 to 507 | 563 to 620 | 708 to 475 | |
Justin Amash | 10/4/0 | 810 to 373 | 617 to 566 | 460 to 723 | 599 to 584 | 474 to 709 | 680 to 503 | 653 to 530 | 571 to 612 | 548 to 635 | 631 to 552 | 785 to 398 | 819 to 364 | 772 to 411 | 829 to 354 | |
Amy Klobuchar | 6/8/0 | 687 to 496 | 577 to 606 | 472 to 711 | 555 to 628 | 382 to 801 | 585 to 598 | 530 to 653 | 521 to 662 | 407 to 776 | 609 to 574 | 725 to 458 | 729 to 454 | 644 to 539 | 705 to 478 | |
Bernie Sanders | 11/3/0 | 679 to 504 | 715 to 468 | 576 to 607 | 676 to 507 | 575 to 608 | 673 to 510 | 612 to 571 | 662 to 521 | 551 to 632 | 709 to 474 | 721 to 462 | 721 to 462 | 667 to 516 | 699 to 484 | |
Andrew Yang | 12/2/0 | 749 to 434 | 817 to 366 | 589 to 594 | 738 to 445 | 578 to 605 | 711 to 472 | 635 to 548 | 776 to 407 | 632 to 551 | 793 to 390 | 861 to 322 | 850 to 333 | 734 to 449 | 780 to 403 | |
Elizabeth Warren | 7/7/0 | 655 to 528 | 665 to 518 | 515 to 668 | 561 to 622 | 479 to 704 | 593 to 590 | 552 to 631 | 574 to 609 | 474 to 709 | 390 to 793 | 665 to 518 | 688 to 495 | 632 to 551 | 675 to 508 | |
John Kasich | 4/10/0 | 699 to 484 | 570 to 613 | 373 to 810 | 535 to 648 | 334 to 849 | 533 to 650 | 398 to 785 | 458 to 725 | 462 to 721 | 322 to 861 | 518 to 665 | 745 to 438 | 608 to 575 | 730 to 453 | |
Jeb Bush | 2/12/0 | 704 to 479 | 558 to 625 | 347 to 836 | 515 to 668 | 329 to 854 | 507 to 676 | 364 to 819 | 454 to 729 | 462 to 721 | 333 to 850 | 495 to 688 | 438 to 745 | 543 to 640 | 703 to 480 | |
Rand Paul | 5/9/0 | 826 to 357 | 599 to 584 | 382 to 801 | 570 to 613 | 462 to 721 | 620 to 563 | 411 to 772 | 539 to 644 | 516 to 667 | 449 to 734 | 551 to 632 | 575 to 608 | 640 to 543 | 858 to 325 | |
Ted Cruz | 1/13/0 | 735 to 448 | 544 to 639 | 346 to 837 | 511 to 672 | 391 to 792 | 475 to 708 | 354 to 829 | 478 to 705 | 484 to 699 | 403 to 780 | 508 to 675 | 453 to 730 | 480 to 703 | 325 to 858 |
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 | 3672 | 3.1 |
Joe Biden | 4004 | 3.4 |
Jo Jorgensen | 4836 | 4.1 |
Howie Hawkins | 3114 | 2.6 |
Tulsi Gabbard | 4260 | 3.6 |
Dan Crenshaw | 2884 | 2.4 |
Justin Amash | 4186 | 3.5 |
Amy Klobuchar | 3158 | 2.7 |
Bernie Sanders | 5281 | 4.5 |
Andrew Yang | 5224 | 4.4 |
Elizabeth Warren | 4167 | 3.5 |
John Kasich | 2703 | 2.3 |
Jeb Bush | 2563 | 2.2 |
Rand Paul | 4171 | 3.5 |
Ted Cruz | 3186 | 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 | 3672 |
Joe Biden | 4004 |
Jo Jorgensen | 4836 |
Howie Hawkins | 3114 |
Tulsi Gabbard | 4260 |
Dan Crenshaw | 2884 |
Justin Amash | 4186 |
Amy Klobuchar | 3158 |
Bernie Sanders | 5281 |
Andrew Yang | 5224 |
Elizabeth Warren | 4167 |
John Kasich | 2703 |
Jeb Bush | 2563 |
Rand Paul | 4171 |
Ted Cruz | 3186 |
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 | 753 |
Andrew Yang | 758 |
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 | 456 to 583 | 321 to 670 | 470 to 476 | 369 to 591 | 388 to 365 | 346 to 589 | 460 to 512 | 453 to 618 | 392 to 679 | 483 to 547 | 452 to 434 | 440 to 422 | 302 to 521 | 355 to 314 | |
Joe Biden | 9/5/0 | 583 to 456 | 496 to 520 | 509 to 370 | 439 to 557 | 585 to 377 | 513 to 445 | 469 to 271 | 271 to 530 | 275 to 620 | 339 to 410 | 549 to 305 | 572 to 313 | 548 to 511 | 590 to 424 | |
Jo Jorgensen | 12/2/0 | 670 to 321 | 520 to 496 | 546 to 254 | 467 to 400 | 604 to 219 | 419 to 307 | 526 to 361 | 461 to 563 | 397 to 548 | 507 to 467 | 591 to 269 | 614 to 263 | 532 to 303 | 658 to 255 | |
Howie Hawkins | 5/9/0 | 476 to 470 | 370 to 509 | 254 to 546 | 243 to 553 | 388 to 361 | 299 to 464 | 337 to 387 | 222 to 581 | 211 to 631 | 314 to 425 | 380 to 360 | 405 to 379 | 359 to 507 | 440 to 433 | |
Tulsi Gabbard | 11/3/0 | 591 to 369 | 557 to 439 | 400 to 467 | 553 to 243 | 560 to 236 | 431 to 379 | 538 to 292 | 446 to 539 | 373 to 516 | 493 to 416 | 577 to 224 | 597 to 243 | 455 to 385 | 579 to 319 | |
Dan Crenshaw | 1/13/0 | 365 to 388 | 377 to 585 | 219 to 604 | 361 to 388 | 236 to 560 | 221 to 481 | 335 to 439 | 352 to 630 | 285 to 646 | 378 to 513 | 342 to 345 | 352 to 360 | 232 to 470 | 332 to 319 | |
Justin Amash | 8/6/0 | 589 to 346 | 445 to 513 | 307 to 419 | 464 to 299 | 379 to 431 | 481 to 221 | 416 to 386 | 411 to 571 | 350 to 556 | 427 to 484 | 468 to 259 | 511 to 267 | 437 to 311 | 556 to 274 | |
Amy Klobuchar | 6/8/0 | 512 to 460 | 271 to 469 | 361 to 526 | 387 to 337 | 292 to 538 | 439 to 335 | 386 to 416 | 241 to 584 | 184 to 645 | 261 to 439 | 412 to 263 | 453 to 307 | 414 to 498 | 488 to 415 | |
Bernie Sanders | 13/1/0 | 618 to 453 | 530 to 271 | 563 to 461 | 581 to 222 | 539 to 446 | 630 to 352 | 571 to 411 | 584 to 241 | 425 to 430 | 498 to 204 | 611 to 287 | 624 to 304 | 576 to 473 | 627 to 410 | |
Andrew Yang | 14/0/0 | 679 to 392 | 620 to 275 | 548 to 397 | 631 to 211 | 516 to 373 | 646 to 285 | 556 to 350 | 645 to 184 | 430 to 425 | 536 to 276 | 675 to 201 | 686 to 226 | 569 to 402 | 654 to 351 | |
Elizabeth Warren | 9/5/0 | 547 to 483 | 410 to 339 | 467 to 507 | 425 to 314 | 416 to 493 | 513 to 378 | 484 to 427 | 439 to 261 | 204 to 498 | 276 to 536 | 487 to 279 | 511 to 331 | 494 to 501 | 537 to 446 | |
John Kasich | 3/11/0 | 434 to 452 | 305 to 549 | 269 to 591 | 360 to 380 | 224 to 577 | 345 to 342 | 259 to 468 | 263 to 412 | 287 to 611 | 201 to 675 | 279 to 487 | 321 to 243 | 307 to 474 | 399 to 379 | |
Jeb Bush | 1/13/0 | 422 to 440 | 313 to 572 | 263 to 614 | 379 to 405 | 243 to 597 | 360 to 352 | 267 to 511 | 307 to 453 | 304 to 624 | 226 to 686 | 331 to 511 | 243 to 321 | 262 to 472 | 362 to 366 | |
Rand Paul | 8/6/0 | 521 to 302 | 511 to 548 | 303 to 532 | 507 to 359 | 385 to 455 | 470 to 232 | 311 to 437 | 498 to 414 | 473 to 576 | 402 to 569 | 501 to 494 | 474 to 307 | 472 to 262 | 491 to 186 | |
Ted Cruz | 1/13/0 | 314 to 355 | 424 to 590 | 255 to 658 | 433 to 440 | 319 to 579 | 319 to 332 | 274 to 556 | 415 to 488 | 410 to 627 | 351 to 654 | 446 to 537 | 379 to 399 | 366 to 362 | 186 to 491 |
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 | 6460 | 36.40% |
1 | 1412 | 7.96% |
2 | 1209 | 6.81% |
3 | 1322 | 7.45% |
4 | 1222 | 6.89% |
5 | 1450 | 8.17% |
6 | 963 | 5.43% |
7 | 956 | 5.39% |
8 | 903 | 5.09% |
9 | 699 | 3.94% |
10 | 1149 | 6.48% |
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 | 585 | 50 | 50 | 65 | 43 | 60 | 42 | 49 | 46 | 38 | 155 |
Joe Biden | 398 | 92 | 70 | 85 | 99 | 92 | 86 | 96 | 69 | 39 | 57 |
Jo Jorgensen | 305 | 99 | 87 | 106 | 83 | 109 | 50 | 63 | 58 | 67 | 156 |
Howie Hawkins | 493 | 117 | 86 | 88 | 79 | 97 | 54 | 46 | 45 | 26 | 52 |
Tulsi Gabbard | 314 | 76 | 84 | 111 | 118 | 140 | 111 | 98 | 58 | 35 | 38 |
Dan Crenshaw | 517 | 111 | 90 | 95 | 70 | 97 | 53 | 54 | 43 | 27 | 26 |
Justin Amash | 400 | 94 | 82 | 94 | 74 | 107 | 47 | 45 | 61 | 60 | 119 |
Amy Klobuchar | 459 | 89 | 79 | 126 | 93 | 119 | 79 | 65 | 43 | 17 | 14 |
Bernie Sanders | 374 | 65 | 68 | 56 | 55 | 58 | 49 | 69 | 85 | 95 | 209 |
Andrew Yang | 269 | 70 | 77 | 82 | 93 | 118 | 94 | 96 | 103 | 78 | 103 |
Elizabeth Warren | 444 | 88 | 73 | 51 | 76 | 62 | 71 | 62 | 86 | 82 | 88 |
John Kasich | 502 | 101 | 98 | 112 | 102 | 120 | 61 | 37 | 27 | 9 | 14 |
Jeb Bush | 477 | 137 | 113 | 128 | 110 | 96 | 42 | 34 | 22 | 10 | 14 |
Rand Paul | 394 | 107 | 80 | 72 | 64 | 88 | 75 | 83 | 86 | 67 | 67 |
Ted Cruz | 529 | 116 | 72 | 51 | 63 | 87 | 49 | 59 | 71 | 49 | 37 |
Number of bullet votes: 30 (2.54%).
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.