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## The P-RRM model

The P-RRM model postulates the strongest random regret minimization behaviour possible within the RRM modelling framework. It is one of the two special limiting cases of the µRRM model. See Cranenburgh et al. 2015 for an extensive description of the model.

The key idea behind this model is that no rejoice (i.e. the opposite of regret) is experienced when the considered alternative outperforms a competitor alternative with regard an attribute m. This, in contrast to the Classical RRM model and the µRRM model which both postulate that regrets and rejoices are experienced. The figure on the right depicts attribute level regret function of the P-RRM model.

To estimate a P-RRM model, we need to compute the so-called P-RRM X-vector, denoted x-P-RRM. Because the model is essentially linear this can be done prior to estimation. A prerequisite to do so however is that the signs of the taste parameters are known prior to estimation - which is typically the case. Once we have the P-RRM X-vector, estimation of the P-RRM model is just as simple and fast as estimation of a linear-additive RUM model.

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The linear-additive form of the P-RRM model also makes it very attractive from a computational perspective. As the X-vector can be computed prior to the estimation, runtimes of the P-RRM model are proportional with choice set size, as opposed to quadratic - which is the case for the other RRM models.

MATLAB

• Click here for a bundle of MATLAB codes, which includes:

• Code to compute P-RRM X-vectors

• Code to estimate P-RRM-MNL models

BISON BIOGEME

• Click here for BISON BIOGEME P-RRM estimation code to estimate shopping choice data.

PYTHON BIOGEME

• Click here for PYTHON BIOGEME P-RRM estimation code to estimate shopping choice data.

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PANDAS BIOGEME

• Click here for PANDAS BIOGEME P-RRM estimation code to estimate shopping choice data.

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Apollo R

• Click here for Apollo R P-RRM estimation code to estimate shopping choice data.

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EXAMPLE DATA FILE

• Click here to download the example shopping choice data file (see Arentze et al. 2005 for more details on the data)

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