Anti-Harassment Tools/SecurePoll Improvements/Test Results/5 3 2065

Comments

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SecurePoll and OpenSTV agree on final results.

Election setup

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  • Candidates: 5
  • Seats: 3
  • Votes: 2065

Actual

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Output from SecurePoll (var_dump( $this->tallier->resultsLog );):

array(3) {
  ["elected"]=>
  array(3) {
    [0]=>
    int(3)
    [1]=>
    int(1)
    [2]=>
    int(2)
  }
  ["eliminated"]=>
  array(2) {
    [0]=>
    int(4)
    [1]=>
    int(5)
  }
  ["rounds"]=>
  array(4) {
    [0]=>
    array(8) {
      ["round"]=>
      int(1)
      ["surplus"]=>
      int(0)
      ["rankings"]=>
      array(5) {
        [1]=>
        array(3) {
          ["votes"]=>
          int(0)
          ["earned"]=>
          int(515)
          ["total"]=>
          int(515)
        }
        [2]=>
        array(3) {
          ["votes"]=>
          int(0)
          ["earned"]=>
          int(510)
          ["total"]=>
          int(510)
        }
        [3]=>
        array(3) {
          ["votes"]=>
          int(0)
          ["earned"]=>
          int(520)
          ["total"]=>
          int(520)
        }
        [4]=>
        array(3) {
          ["votes"]=>
          int(0)
          ["earned"]=>
          int(260)
          ["total"]=>
          int(260)
        }
        [5]=>
        array(3) {
          ["votes"]=>
          int(0)
          ["earned"]=>
          int(260)
          ["total"]=>
          int(260)
        }
      }
      ["totalVotes"]=>
      int(2065)
      ["keepFactors"]=>
      array(5) {
        [1]=>
        int(1)
        [2]=>
        int(1)
        [3]=>
        int(1)
        [4]=>
        int(1)
        [5]=>
        int(1)
      }
      ["quota"]=>
      int(517)
      ["elected"]=>
      array(0) {
      }
      ["eliminated"]=>
      array(0) {
      }
    }
    [1]=>
    array(8) {
      ["round"]=>
      int(2)
      ["elected"]=>
      array(1) {
        [0]=>
        int(3)
      }
      ["eliminated"]=>
      array(0) {
      }
      ["surplus"]=>
      int(3)
      ["keepFactors"]=>
      array(5) {
        [1]=>
        int(1)
        [2]=>
        int(1)
        [3]=>
        int(1)
        [4]=>
        int(1)
        [5]=>
        int(1)
      }
      ["quota"]=>
      int(517)
      ["rankings"]=>
      array(5) {
        [1]=>
        array(3) {
          ["votes"]=>
          int(515)
          ["earned"]=>
          int(0)
          ["total"]=>
          int(515)
        }
        [2]=>
        array(3) {
          ["votes"]=>
          int(510)
          ["earned"]=>
          int(0)
          ["total"]=>
          int(510)
        }
        [3]=>
        array(3) {
          ["votes"]=>
          int(520)
          ["earned"]=>
          int(0)
          ["total"]=>
          int(520)
        }
        [4]=>
        array(3) {
          ["votes"]=>
          int(260)
          ["earned"]=>
          int(0)
          ["total"]=>
          int(260)
        }
        [5]=>
        array(3) {
          ["votes"]=>
          int(260)
          ["earned"]=>
          int(0)
          ["total"]=>
          int(260)
        }
      }
      ["totalVotes"]=>
      int(2065)
    }
    [2]=>
    array(8) {
      ["round"]=>
      int(3)
      ["elected"]=>
      array(0) {
      }
      ["eliminated"]=>
      array(2) {
        [0]=>
        int(4)
        [1]=>
        int(5)
      }
      ["surplus"]=>
      float(1)
      ["keepFactors"]=>
      array(5) {
        [1]=>
        int(1)
        [2]=>
        int(1)
        [3]=>
        float(0.99423076923077)
        [4]=>
        int(1)
        [5]=>
        int(1)
      }
      ["quota"]=>
      int(516)
      ["rankings"]=>
      array(5) {
        [1]=>
        array(3) {
          ["votes"]=>
          int(515)
          ["earned"]=>
          int(0)
          ["total"]=>
          int(515)
        }
        [2]=>
        array(3) {
          ["votes"]=>
          int(510)
          ["earned"]=>
          int(0)
          ["total"]=>
          int(510)
        }
        [3]=>
        array(3) {
          ["votes"]=>
          int(520)
          ["earned"]=>
          float(-3)
          ["total"]=>
          float(517)
        }
        [4]=>
        array(3) {
          ["votes"]=>
          int(260)
          ["earned"]=>
          int(0)
          ["total"]=>
          int(260)
        }
        [5]=>
        array(3) {
          ["votes"]=>
          int(260)
          ["earned"]=>
          int(0)
          ["total"]=>
          int(260)
        }
      }
      ["totalVotes"]=>
      float(2062)
    }
    [3]=>
    array(8) {
      ["round"]=>
      int(4)
      ["elected"]=>
      array(2) {
        [0]=>
        int(1)
        [1]=>
        int(2)
      }
      ["eliminated"]=>
      array(0) {
      }
      ["surplus"]=>
      float(383)
      ["keepFactors"]=>
      array(5) {
        [1]=>
        int(1)
        [2]=>
        int(1)
        [3]=>
        float(0.99230769230769)
        [4]=>
        int(0)
        [5]=>
        int(0)
      }
      ["quota"]=>
      int(386)
      ["rankings"]=>
      array(5) {
        [1]=>
        array(3) {
          ["votes"]=>
          int(515)
          ["earned"]=>
          int(0)
          ["total"]=>
          int(515)
        }
        [2]=>
        array(3) {
          ["votes"]=>
          int(510)
          ["earned"]=>
          int(0)
          ["total"]=>
          int(510)
        }
        [3]=>
        array(3) {
          ["votes"]=>
          float(517)
          ["earned"]=>
          float(-1)
          ["total"]=>
          float(516)
        }
        [4]=>
        array(3) {
          ["votes"]=>
          int(260)
          ["earned"]=>
          int(-260)
          ["total"]=>
          int(0)
        }
        [5]=>
        array(3) {
          ["votes"]=>
          int(260)
          ["earned"]=>
          int(-260)
          ["total"]=>
          int(0)
        }
      }
      ["totalVotes"]=>
      float(1541)
    }
  }
}

Actual tally: SP

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Elected

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Election for 3 seats with 5 candidates. Total 2,065 votes.

  1. "C"
  2. "A"
  3. "B"

Eliminated/Not elected

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  • "D"
  • "E"

Rounds table

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The following table describes the calculations that happened in order to achieve the result above. In each round of calculation, the candidate(s) who achieved more votes than the quota are declared elected. Their surplus votes above the quota are redistributed to the remaining candidates. If nobody achieves the quota, the lowest ranking candidate is eliminated and their votes are redistributed to the remaining candidates. To understand this better, please refer to this link.

Round Number Tally Result
1
  1. "C": 520
  2. "A": 515
  3. "B": 510
  4. "D": 260
  5. "E": 260
Quota: 516.250001
2
  1. "C": 520
  2. "A": 515
  3. "B": 510
  4. "D": 260
  5. "E": 260
Quota: 516.250001

Elected: "C"

3
  1. "C": 520 - 3.749999 = 516.250001 (keep factor: 0.992788)
  2. "A": 515
  3. "B": 510
  4. "D": 260
  5. "E": 260
Quota: 515.312501

Eliminated: "D", "E" Transferring votes

4
  1. "C": 516.250001 - 0.9375 = 515.312501 (keep factor: 0.990986)
  2. "A": 515
  3. "B": 510
Quota: 385.078126

Elected: "A", "B" Transferring votes

(Results from 03:37, 1 September 2021)

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Tools

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Expected

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Output from OpenSTV:

Loading ballots from file 5_3_2065.blt.
Ballot file contains 5 candidates and 2065 ballots.
No candidates have withdrawn.
Ballot file contains 2065 non-empty ballots.

Counting votes for Election Title using Meek STV.
5 candidates running for 3 seats.

 R|A                 |B                 |C                 |D                 
  |------------------+------------------+------------------+------------------
  |E                 |Exhausted         |Surplus           |Threshold         
==============================================================================
 1|        515.000000|        510.000000|        520.000000|        260.000000
  |        260.000000|          0.000000|          3.749999|        516.250001
  |---------------------------------------------------------------------------
  | Count of first choices. Candidate C has reached the threshold and is
  | elected.
==============================================================================
 2|        515.000000|        510.000000|        516.250280|        260.000000
  |        260.000000|          3.749720|          0.937709|        515.312571
  |---------------------------------------------------------------------------
  | Count after transferring surplus votes. Keep factors of candidates who
  | have exceeded the threshold: C, 0.992789.
==============================================================================
 3|        515.000000|        510.000000|        515.312720|        260.000000
  |        260.000000|          4.687280|          0.234539|        515.078181
  |---------------------------------------------------------------------------
  | Count after transferring surplus votes. Keep factors of candidates who
  | have exceeded the threshold: C, 0.990986.
==============================================================================
 4|        515.000000|        510.000000|        515.078200|        260.000000
  |        260.000000|          4.921800|          0.058649|        515.019551
  |---------------------------------------------------------------------------
  | Count after transferring surplus votes. Keep factors of candidates who
  | have exceeded the threshold: C, 0.990535.
==============================================================================
 5|        515.000000|        510.000000|        515.019960|        260.000000
  |        260.000000|          4.980040|          0.014969|        515.004991
  |---------------------------------------------------------------------------
  | Count after transferring surplus votes. Keep factors of candidates who
  | have exceeded the threshold: C, 0.990423.
==============================================================================
 6|        515.000000|        510.000000|        515.005400|        260.000000
  |        260.000000|          4.994600|          0.004049|        515.001351
  |---------------------------------------------------------------------------
  | Count after transferring surplus votes. Keep factors of candidates who
  | have exceeded the threshold: C, 0.990395.
==============================================================================
 7|        515.000000|        510.000000|        515.001760|        260.000000
  |        260.000000|          4.998240|          0.001319|        515.000441
  |---------------------------------------------------------------------------
  | Count after transferring surplus votes. Keep factors of candidates who
  | have exceeded the threshold: C, 0.990388.
==============================================================================
 8|        515.000000|        510.000000|        515.000720|        260.000000
  |        260.000000|          4.999280|          0.000539|        515.000181
  |---------------------------------------------------------------------------
  | Count after transferring surplus votes. Keep factors of candidates who
  | have exceeded the threshold: C, 0.990386.
==============================================================================
 9|        515.000000|        510.000000|        515.000200|        260.000000
  |        260.000000|          4.999800|          0.000149|        515.000051
  |---------------------------------------------------------------------------
  | Count after transferring surplus votes. Keep factors of candidates who
  | have exceeded the threshold: C, 0.990385.
==============================================================================
10|        515.000000|        510.000000|        515.000200|        260.000000
  |        260.000000|          4.999800|          0.000149|        515.000051
  |---------------------------------------------------------------------------
  | Count after transferring surplus votes. Keep factors of candidates who
  | have exceeded the threshold: C, 0.990385.
==============================================================================
11|        515.000000|        510.000000|        515.000200|        260.000000
  |                  |        264.999800|        190.000047|        450.000051
  |---------------------------------------------------------------------------
  | Count after eliminating E and transferring votes. Candidates tied within
  | precision of computations. Candidates D and E were tied when choosing
  | candidates to eliminate. Candidate E was chosen by breaking the tie
  | randomly. Candidates A and B have reached the threshold and are elected.

Winners are A, B, and C.

Files

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array (
  1 => 
  array (
    'count' => 515,
    'rank' => 
    array (
      1 => '1',
    ),
  ),
  '2_1' => 
  array (
    'count' => 510,
    'rank' => 
    array (
      1 => '2',
      2 => '1',
    ),
  ),
  3 => 
  array (
    'count' => 520,
    'rank' => 
    array (
      1 => '3',
    ),
  ),
  4 => 
  array (
    'count' => 260,
    'rank' => 
    array (
      1 => '4',
    ),
  ),
  5 => 
  array (
    'count' => 260,
    'rank' => 
    array (
      1 => '5',
    ),
  ),
)

Environment

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