Generators of Profiles

import svvamp

Impartial Culture

The Spheroid model is an extension of the Impartial Culture to utilities:

profile = svvamp.GeneratorProfileSpheroid(n_v=100, n_c=5)()
profile.plot3()
profile.plot4()

The Cubic Uniform model is another one:

profile = svvamp.GeneratorProfileCubicUniform(n_v=5000, n_c=3)()
profile.plot3(normalize=False)

profile = svvamp.GeneratorProfileCubicUniform(n_v=5000, n_c=4)()
profile.plot4(normalize=False)

Neutral Culture with Weak Orders

The Ladder model is also neutral (it treats all candidates equally) and voters are also independent, like in Impartial Culture, but weak orders are possible.

profile = svvamp.GeneratorProfileLadder(n_v=1000, n_c=3, n_rungs=5)()
profile.plot3(normalize=False)

profile = svvamp.GeneratorProfileLadder(n_v=1000, n_c=4, n_rungs=5)()
profile.plot4(normalize=False)

Polarized Cultures

The Von-Mises Fisher model represents a polarized culture. There are two variants (hypersphere and hypercircle).

profile = svvamp.GeneratorProfileVMFHypersphere(
    n_v=100, n_c=5, vmf_concentration=20)()
profile.plot3(indexes=[0, 1, 2])

Political spectrum

In these models, voters and candidates draw independent positions in a Euclidean space (the “political spectrum”). The utility of a voter v for a candidate c is a decreasing function of the distance between their positions. If the dimension of the political spectrum is 1, then the population is necessarily single-peaked (cf The theory of committees and elections, Duncan Black, 1958).

Gaussian Well model:

profile = svvamp.GeneratorProfileGaussianWell(
    n_v=1000, n_c=4, sigma=[1], shift=[0])()
profile.plot3()
profile.plot4()

Euclidean Box model:

profile = svvamp.GeneratorProfileEuclideanBox(
    n_v=1000, n_c=4, box_dimensions=[1])()
profile.plot3()
profile.plot4()