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

A random factory of ordinal profiles (ProfileOrdinal), uniform on a grid

  • denominator (int) – The grain of the grid.
  • 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 (keyword arguments) – These additional arguments will be passed directly to ProfileOrdinal.


Basic usage:

>>> initialize_random_seeds()
>>> rand_profile = RandProfileOrdinalGridUniform(denominator=7)
>>> profile = rand_profile()
>>> print(profile)
<abc: 2/7, acb: 1/7, bac: 1/7, bca: 3/7> (Condorcet winner: b)

Using the optional parameters:

>>> from fractions import Fraction
>>> rand_profile = RandProfileOrdinalGridUniform(
...     denominator=4,
...     orders=['abc', 'acb'], d_order_fixed_share={'acb': Fraction(2, 7), 'a~b>c': Fraction(1, 7)},
...     voting_rule=PLURALITY)
>>> profile = rand_profile()
>>> print(profile)
<abc: 3/7, acb: 3/7, a~b>c: 1/7> (Condorcet winner: a) (Plurality)

For more examples, cf. RandSimplexGridUniform.