A Class of Random Utility Models Generating the Exploded Logit
Résumé
We reexamine a family of distributions in random utility models introduced by David Strauss, which generates ranking probabilities consistent with the exploded logit model, thus implying the multinomial logit model for the choice probabilities. We explore the necessary and sufficient conditions for its validity within copula theory, a robust analytical framework. By specifying minimal assumptions required for the support of the marginal utility distributions, we clarify and reinforce the fundamental structure of the model, demonstrating that it is based on strict archimedean copulas. Additionally, we provide a new mathematical proof by induction confirming that these utility distributions indeed generate the exploded logit model.
Mots clés
Exploded Logit Model
Multinomial Logit Model
Ranking Probabilities
Random Utility Models JEL Classification: C25
D01
Archimedean Copulas Choice Probabilities Copula Theory Exploded Logit Model Multinomial Logit Model Ranking Probabilities Random Utility Models JEL Classification: C25 D01
Archimedean Copulas
Choice Probabilities
Copula Theory
Origine | Fichiers produits par l'(les) auteur(s) |
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