.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_examples/mdcev_no_outside_good/non_monotonic_specification.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_auto_examples_mdcev_no_outside_good_non_monotonic_specification.py>`
        to download the full example code.

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_auto_examples_mdcev_no_outside_good_non_monotonic_specification.py:

File non_monotonic_specification.py

Michel Bierlaire, EPFL
Fri Jul 25 2025, 16:36:49
Specification of the "non monotonic utility" MDCEV model.

.. GENERATED FROM PYTHON SOURCE LINES 7-61

.. code-block:: Python


    from biogeme.expressions import Beta
    from biogeme.mdcev import NonMonotonic
    from specification import baseline_utilities, mu_utilities, weight

    # %
    # Gamma parameters. Must be positive.
    lowest_positive_value = 0.0001
    gamma_shopping = Beta('gamma_shopping', 1, lowest_positive_value, None, 0)
    gamma_socializing = Beta('gamma_socializing', 1, lowest_positive_value, None, 0)
    gamma_recreation = Beta('gamma_recreation', 1, lowest_positive_value, None, 0)
    gamma_personal = Beta('gamma_personal', 1, lowest_positive_value, None, 0)

    # %
    # alpha parameters. Must be between 0 and 1
    alpha_shopping = Beta(
        'alpha_shopping', 0.5, lowest_positive_value, 1 - lowest_positive_value, 0
    )
    alpha_socializing = Beta(
        'alpha_socializing', 0.5, lowest_positive_value, 1 - lowest_positive_value, 0
    )
    alpha_recreation = Beta(
        'alpha_recreation', 0.5, lowest_positive_value, 1 - lowest_positive_value, 0
    )
    alpha_personal = Beta(
        'alpha_personal', 0.5, lowest_positive_value, 1 - lowest_positive_value, 0
    )

    scale_parameter = Beta('scale', 1, lowest_positive_value, None, 0)

    gamma_parameters = {
        1: gamma_shopping,
        2: gamma_socializing,
        3: gamma_recreation,
        4: gamma_personal,
    }

    alpha_parameters = {
        1: alpha_shopping,
        2: alpha_socializing,
        3: alpha_recreation,
        4: alpha_personal,
    }


    the_non_monotonic = NonMonotonic(
        model_name='non_monotonic',
        baseline_utilities=baseline_utilities,
        mu_utilities=mu_utilities,
        gamma_parameters=gamma_parameters,
        alpha_parameters=alpha_parameters,
        scale_parameter=scale_parameter,
        weights=weight,
    )


.. _sphx_glr_download_auto_examples_mdcev_no_outside_good_non_monotonic_specification.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: non_monotonic_specification.ipynb <non_monotonic_specification.ipynb>`

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: non_monotonic_specification.py <non_monotonic_specification.py>`

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: non_monotonic_specification.zip <non_monotonic_specification.zip>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_