On the smoothness of optimal paths
type: Item
instance of: scholarly article
title: On the smoothness of optimal paths
zbMATH Open document ID: 1091.91053
author: Joël Blot
author: Bertrand Crettez
published in: Decisions in Economics and Finance
publication date: 2005-02-11T00:00:00Z
review text: The authors have proven the \(C^r\) differentiability of optimal path with respect to different parameters under conditions that ensure the invertibility of the operator associated to the Euler-Lagrange equation. These parameters are the initial vector of capital stock, the discount rate and a parameter which lies in a Banach space. They also extended the set of conditions under which smoothness of optimal paths holds.
reviewed by: Marian Matłoka
Mathematics Subject Classification ID: 91B62
Mathematics Subject Classification ID: 49K40
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 2133620
MaRDI profile type: Publication
full work available at URL: s10203-004-0042-5
OpenAlex ID: W2045104549
cites work: Q4002249
cites work: The Once But Not Twice Differentiability of the Policy Function
cites work: Smoothness, Comparative Dynamics, and the Turnpike Property
cites work: Calculus of variations in mean and convex lagrangians. IV
cites work: Bounded solutions and oscillations of concave Lagrangian systems in presence of a discount rate
cites work: On the indeterminacy of capital accumulation paths
cites work: Comparative Statics of Less Neoclassical Agents
cites work: Application of functional analysis to models of efficient allocation of economic resources
cites work: A local analysis of stability and regularity of stationary states in discrete symmetric optimal capital accumulation models
cites work: A note on comparative statics and dynamics of stationary states
cites work: Q4397001
cites work: Determinacy of equilibria in dynamic models with finitely many consumers
cites work: Q3812000
cites work: Q4789442
cites work: Q4499601
cites work: Smoothness of the Policy Function in Discrete Time Economic Models
cites work: Differentiability and comparative analysis in discrete-time infinite- horizon optimization
cites work: On high-order differentiability of the policy function
cites work: Smooth dynamics and computation in models of economic growth
cites work: Q5605994
cites work: Q4002751
DOI: 10.1007/S10203-004-0042-5
Recommended article: On the smoothness of optimal paths. II. Some local turnpike results
Recommended article: Q4811806
Recommended article: Q4034991
Recommended article: Q3504638
Recommended article: Q4512046
Recommended article: Optimal trajectory planning and smoothing splines
Recommended article: Q3203594
Recommended article: Q4280472
Recommended article: On smooth optimal control determination
Recommended article: The problem of optimal smoothing for convex functions
description: scientific article; zbMATH DE number 2133620