Journal ArticleDOI
On the subdifferential of the value function in economic optimization problems
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TLDR
In this paper, the authors provide a unified treatment to find sufficient conditions for the existence of a subgradient of the value function associated with a convex optimization problem and apply these results to different cases arising in mathematical economics.About:
This article is published in Journal of Mathematical Economics.The article was published on 1996-01-01. It has received 17 citations till now. The article focuses on the topics: Subderivative & Pseudoconvex function.read more
Citations
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Complete characterization of Yannelis—Zame and Chichilnisky—Kalman—Mas-Colell properness conditions on preferences for separable concave functions defined inL + p andL p
TL;DR: In this paper, the authors characterize completely properness and uniform properness for separable concave functions defined inL + 1 + 1 p ≥ 0, and show that every separable function which is well-defined in L + 1 − 1 p is automatically continuous.
Journal ArticleDOI
A Nonsmooth Approach to Envelope Theorems
TL;DR: In this paper, a nonsmooth approach to envelope theorems applicable to a broad class of parameterized constrained nonlinear optimization problems that arise typically in economic applications with nonconvexities and/or non-smooth objectives was developed.
Journal ArticleDOI
A nonsmooth approach to envelope theorems
TL;DR: In this paper, a nonsmooth approach to envelope theorems applicable to a broad class of parameterized constrained nonlinear optimization problems that arise typically in economic applications with nonconvexities and/or non-smooth objectives was developed.
Journal ArticleDOI
Optimal control in infinite horizon problems: A Sobolev space approach
TL;DR: In this paper, the Sobolev space W1,1(R+, Rn) was used to derive the Pontryagin conditions for the standard optimal growth model in continuous time, including a necessary and sufficient transversality condition.
Journal ArticleDOI
Generalized Envelope Theorems: Applications to Dynamic Programming
TL;DR: It is shown that the class of Lipschitz functions provides a suitable framework for the generalization of classical envelope theorems for a broad class of constrained programs relevant to economic models, in which nonconvexities play a key role, and where the primitives may not be continuously differentiable.
References
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Book
Mathematical methods of game and economic theory
TL;DR: In this paper, a unified treatment of optimization theory, game theory and a general equilibrium theory in economics in the framework of nonlinear functional analysis is presented, which not only provides powerful and versatile tools for solving specific problems in economics and the social sciences but also serves as a unifying theme in the mathematical theory of these subjects as well as in pure mathematics itself.
Journal ArticleDOI
On the differentiability of the value function in dynamic models of economics
Journal ArticleDOI
The Price Equilibrium Existence Problem in Topological Vector Lattices
Book
Existence and Optimality of Competitive Equilibria
TL;DR: The Arrow-Debreu Model and its variants have been used in this article to model a production economy with infinitely many commodities and prices, and the OLG Commodity-Price Duality.
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Subgradients of the Value Function in a Parametric Convex Optimal Control Problem
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