Ordered choice probabilities in random utility models

de Palma, André; Kilani, Karim

Type de document :

Pré-publication ou Document de travail

Titre :

Ordered choice probabilities in random utility models

Auteur(s) :

de Palma, André [Auteur]
Département d'Économie de l'École Polytechnique [X-DEP-ECO]
École normale supérieure - Cachan [ENS Cachan]
Kilani, Karim [Auteur]
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
Laboratoire interdisciplinaire de recherche en sciences de l'action [LIRSA]

Mot(s)-clé(s) en anglais :

Random utility models
Generalized Roy's identity
Logit
Ordered utilities
Order statistics
Probit

Discipline(s) HAL :

Sciences de l'Homme et Société/Economies et finances

Résumé en anglais : [en]

We prove a general identity which states that any element of a tuple (ordered set) can be obtained as an alternating binomial weighted sum of rst elements of some sub-tuples. The identity is then applied within the random ...
Lire la suite >We prove a general identity which states that any element of a tuple (ordered set) can be obtained as an alternating binomial weighted sum of rst elements of some sub-tuples. The identity is then applied within the random utility models framework where any alternative's ordered choice probability (the probability that it has a given rank) is expressed with respect to standard best choice probabilities. The logit and the logsum formulas are extended to their ordered choice counterparts. In a symmetric case, we compare for the probit and the logit, the surplus loss due to the withdrawal of a product with the damage due to the loss of a rank.Lire moins >

Langue :

Anglais

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