RuleSimplifiedDodgson¶

class whalrus.RuleSimplifiedDodgson(*args, converter: whalrus.converters_ballot.converter_ballot.ConverterBallot = None, matrix_weighted_majority: whalrus.matrices.matrix.Matrix = None, **kwargs)[source]¶

Simplified Dodgson rule.

The score of a candidate is the sum of the negative non-diagonal coefficient on its raw of matrix_weighted_majority_.

Parameters:	args – Cf. parent class. converter (ConverterBallot) – Default: `ConverterBallotToOrder`. matrix_weighted_majority (Matrix) – Default: `MatrixWeightedMajority` with `antisymmetric=True`. kwargs – Cf. parent class.

Examples

>>> rule = RuleSimplifiedDodgson(ballots=['a > b > c', 'b > a > c', 'c > a > b'],
...                              weights=[3, 3, 2])
>>> rule.matrix_weighted_majority_.as_array_
array([[0, Fraction(1, 4), Fraction(1, 2)],
       [Fraction(-1, 4), 0, Fraction(1, 2)],
       [Fraction(-1, 2), Fraction(-1, 2), 0]], dtype=object)
>>> rule.scores_
{'a': 0, 'b': Fraction(-1, 4), 'c': -1}
>>> rule.winner_
'a'

average_score_¶

The average score.

Type:	Number

average_score_as_float_¶

The average score as a float. It is the same as average_score_, but converted to a float.

Type:	float

best_score_as_float_¶

The best score as a float. It is the same as RuleScore.best_score_, but converted to a float.

Type:	float

compare_scores(one: numbers.Number, another: numbers.Number) → int¶

Compare two scores.

Parameters:	one (object) – A score. another (object) – A score.
Returns:	0 if they are equal, a positive number if `one` is greater than `another`, a negative number otherwise.
Return type:	int

cotrailers_¶

“Cotrailers”. The set of candidates with the worst score.

Type:	NiceSet

cowinners_¶

Cowinners. The set of candidates with the best score.

Type:	NiceSet

matrix_weighted_majority_¶

The weighted majority matrix (once computed with the given profile).

Type:	Matrix

n_candidates_¶

Number of candidates.

Type:	int

scores_as_floats_¶

Scores as floats. It is the same as scores_, but converted to floats.

Type:	NiceDict

strict_order_¶

Result of the election as a strict order over the candidates. The first element is the winner, etc. This may use the tie-breaking rule.

Type:	list

trailer_¶

The “trailer” of the election. This is the last candidate in strict_order_ and also the unfavorable choice of the tie-breaking rule in cotrailers_.

Type:	object

winner_¶

The winner of the election. This is the first candidate in strict_order_ and also the choice of the tie-breaking rule in cowinners_.

Type:	object

worst_score_as_float_¶

The worst score as a float. It is the same as RuleScore.worst_score_, but converted to a float.

Type:	float