RandProfileHistogramGridUniform

class poisson_approval.RandProfileHistogramGridUniform(denominator, denominator_bins, n_bins, orders=None, d_order_fixed_share=None, **kwargs)[source]

A random factory of histogram profiles (ProfileHistogram), uniform on a grid.

Parameters

  • denominator (int) – The grain of the grid for the shares of the rankings.

  • denominator_bins (int) – The grain of the grid for the bins.

  • n_bins (int) – The number of bins in each histogram. Cf. ProfileHistogram.

  • orders (list, optional) – These orders will have a variable share. They can be rankings, e.g. 'abc', or weak orders, e.g. 'a~b>c'. Default: all rankings.

  • d_order_fixed_share (dict, optional) – A dictionary. For each entry order: fixed_share, this order will have at least this fixed share. The total must be lower or equal to 1.

  • kwargs – These additional arguments will be passed directly to ProfileHistogram.

Examples

Basic usage:

>>> initialize_random_seeds()
>>> rand_profile = RandProfileHistogramGridUniform(denominator=17, denominator_bins=7, n_bins=3)
>>> profile = rand_profile()
>>> print(profile)
<abc: 1/17 [Fraction(2, 7) 0 Fraction(5, 7)], acb: 8/17 [Fraction(1, 7) Fraction(2, 7) Fraction(4, 7)], bac: 2/17 [Fraction(2, 7) Fraction(1, 7) Fraction(4, 7)], cab: 5/17 [Fraction(1, 7) Fraction(6, 7) 0], cba: 1/17 [Fraction(3, 7) Fraction(4, 7) 0]> (Condorcet winner: a)

Using the optional parameters:

>>> from fractions import Fraction
>>> rand_profile = RandProfileHistogramGridUniform(
...     denominator=17, denominator_bins=7,
...     n_bins=3, orders=['abc', 'a~b>c'], d_order_fixed_share={'b>a~c': Fraction(1, 2)},
...     voting_rule=PLURALITY)
>>> profile = rand_profile()
>>> print(profile)
<abc: 1/2 [Fraction(6, 7) Fraction(1, 7) 0], b>a~c: 1/2> (Condorcet winner: a, b) (Plurality)