Weak Concavity Properties of Indirect Utility Functions in Multisector Optimal Growth Models - HAL Accéder directement au contenu
Pré-publication, Document de travail Année : 2011

Weak Concavity Properties of Indirect Utility Functions in Multisector Optimal Growth Models

Résumé

Studies of optimal growth in a multisector framework are generally addressed in reduced form models. These are defined by an indirect utility function which summarizes the consumers' preferences and the technologies. Weak concavity assumptions of the indirect utility function allow one to prove differentiability of optimal solutions and stability of steady state. This paper shows that if the consumption good production function is concave-gamma, and the instantaneous utility function is concave-rho, then the indirect utility function is weakly concave, and its curvature coefficients are bounded from above by a function of gamma and rho.
Fichier principal
Vignette du fichier
WP_2014_-_Nr_40.pdf ( 757.93 Ko ) Télécharger
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

halshs-01059589, version 1 (01-09-2014)

Identifiants

  • HAL Id : halshs-01059589 , version 1

Citer

Alain Venditti. Weak Concavity Properties of Indirect Utility Functions in Multisector Optimal Growth Models. 2011. ⟨halshs-01059589⟩
154 Consultations
1055 Téléchargements
Dernière date de mise à jour le 20/04/2024
comment ces indicateurs sont-ils produits

Partager

Gmail Facebook Twitter LinkedIn Plus