Choice probability generating functions

Mogens Fosgerau (Invited author), Daniel McFadden (Invited author), Michel Bierlaire (Invited author)

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    Abstract

    This paper establishes that every random utility discrete choice model (RUM) has a representation that can be characterized by a choice-probability generating function (CPGF) with specific properties, and that every function with these specific properties is consistent with a RUM. The choice probabilities from the RUM are obtained from the gradient of the CPGF. Mixtures of RUM are characterized by logarithmic mixtures of their associated CPGF. The paper relates CPGF to multivariate extreme value distributions, and reviews and extends methods for constructing generating functions for applications. The choice probabilities of any ARUM may be approximated by a cross-nested logit model. The results for ARUM are extended to competing risk survival models.
    Original languageEnglish
    Title of host publicationESWC 2010
    Publication date2010
    Publication statusPublished - 2010
    EventEconometric Society World Conference - Shanghai, China
    Duration: 1 Jan 2010 → …

    Conference

    ConferenceEconometric Society World Conference
    CityShanghai, China
    Period01/01/2010 → …

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