Discrete choice models with multiplicative error terms

The conditional indirect utility of many random utility maximization (RUM) discrete choice models is specified as a sum of an index V depending on observables and an independent random term. In general, the universe of RUM consistent models is much larger, even fixing some specification of V due to theoretical and practical considerations. In this paper, we explore an alternative RUM model where the summation of V and the error term is replaced by multiplication. This is consistent with the notion that choice makers may sometimes evaluate relative differences in V between alternatives rather than absolute differences. We develop some properties of this type of model and show that in several cases the change from an additive to a multiplicative formulation, maintaining a specification of V, may lead to a large improvement in fit, sometimes larger than that gained from introducing random coefficients in V.


Published in:
Transportation Research Part B: Methodological, 43, 5, 494-505
Year:
2009
ISSN:
0191-2615
Keywords:
Laboratories:




 Record created 2009-06-15, last modified 2018-09-13


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