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Discrete choice models with multiplicative error terms

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Author Info
Fosgerau, M.
Bierlaire, M.

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Abstract

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 [epsilon]. 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 [epsilon] 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.

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Publisher Info
Article provided by Elsevier in its journal Transportation Research Part B: Methodological.

Volume (Year): 43 (2009)
Issue (Month): 5 (June)
Pages: 494-505
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Handle: RePEc:eee:transb:v:43:y:2009:i:5:p:494-505

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Related research
Keywords: Discrete choice Multiplicative specification Multivariate extreme value Random scale Heteroscedasticity;

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This page was last updated on 2009-12-3.


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