Modeling the Choice of Choice Set in Discrete-Choice Random-Utility Models

1991 ◽  
Vol 23 (9) ◽  
pp. 1237-1246 ◽  
Author(s):  
J L Horowitz
Keyword(s):  
Discrete Choice ◽  
Random Utility ◽  
Random Utility Models ◽  
Utility Models ◽  
Choice Set

scholarly journals Discrete Choice Prox-Functions on the Simplex

2021 ◽  
Author(s):  
David Müller ◽  
Yurii Nesterov ◽  
Vladimir Shikhman
Keyword(s):  
Discrete Choice ◽  
Nested Logit ◽  
Random Utility ◽  
Consumer Theory ◽  
Logit Models ◽  
Random Utility Models ◽  
Economic Application ◽  
Utility Models ◽  
Convexity Parameter ◽  
Dual Averaging

We derive new prox-functions on the simplex from additive random utility models of discrete choice. They are convex conjugates of the corresponding surplus functions. In particular, we explicitly derive the convexity parameter of discrete choice prox-functions associated with generalized extreme value models, and specifically with generalized nested logit models. Incorporated into subgradient schemes, discrete choice prox-functions lead to a probabilistic interpretations of the iteration steps. As illustration, we discuss an economic application of discrete choice prox-functions in consumer theory. The dual averaging scheme from convex programming adjusts demand within a consumption cycle.

scholarly journals Nonparametric Analysis of Random Utility Models

Econometrica ◽  
2018 ◽  
Vol 86 (6) ◽  
pp. 1883-1909 ◽  
Author(s):  
Yuichi Kitamura ◽  
Jörg Stoye
Keyword(s):  
Random Utility ◽  
Nonparametric Analysis ◽  
Random Utility Models ◽  
Utility Models
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