class poisson_approval.RandProfileTwelveGridUniform(denominator, types=None, d_type_fixed_share=None, **kwargs)[source]

A random factory of twelve-type profiles (ProfileTwelve), uniform on a grid.

  • denominator (int) – The grain of the grid.
  • types (iterable, optional) – These types will have a variable share. They can be twelve-like types, e.g. 'a_bc' or 'ab_c', or weak orders, e.g. 'a~b>c'. Default: all twelve-like types.
  • d_type_fixed_share (dict, optional) – A dictionary. For each entry type: fixed_share, this type 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 ProfileTwelve.


Basic usage:

>>> initialize_random_seeds()
>>> rand_profile = RandProfileTwelveGridUniform(denominator=7)
>>> profile = rand_profile()
>>> print(profile)
<a_bc: 1/7, a_cb: 1/7, ac_b: 1/7, c_ab: 3/7, ca_b: 1/7> (Condorcet winner: c)

Using the optional parameters:

>>> from fractions import Fraction
>>> rand_profile = RandProfileTwelveGridUniform(
...     denominator=4,
...     types=['a_bc', 'ac_b'], d_type_fixed_share={'b_ac': Fraction(2, 7), 'a~b>c': Fraction(1, 7)},
...     voting_rule=PLURALITY)
>>> profile = rand_profile()
>>> print(profile)
<a_bc: 4/7, b_ac: 2/7, a~b>c: 1/7> (Condorcet winner: a) (Plurality)

For more examples, cf. RandSimplexGridUniform.