Properties of critical points and operators in economics
TLDR
In this article, the authors studied the local characteristics of equilibrium positions generated by the constrained maximization of some criterion functions (such as utility, profit, cost, etc.) and formulated a matrix of compensated terms.About:
This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1977-02-01 and is currently open access. It has received 12 citations till now. The article focuses on the topics: Maximization & Partial derivative.read more
Citations
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Journal ArticleDOI
Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices
Journal ArticleDOI
A complete theory of comparative statics for differentiable optimization problems
TL;DR: In this article, a new comparative statics formalism using generalized compensated derivatives is presented that directly yields constraint-free semidefiniteness results for any differentiable, constrained optimization problem.
Journal ArticleDOI
On optimality conditions for structured families of nonlinear programming problems
TL;DR: Techniques of differential topology are used to show that under suitable conditions, certain strong second-order conditions are necessary for optimality except possibly for parameter values lying in a negligible set.
Book ChapterDOI
Comparative statics of less neoclassical agents
TL;DR: In this paper, the authors extended the optimization problems of demand and producer theories to models where agents exhibit more complex characteristics than those of the neoclassical agent and studied generic differentiability properties of the optimal solutions.
Journal ArticleDOI
Comparative statics and dynamics of optimal choice models in Hilbert spaces
TL;DR: In this paper, the authors studied properties of the solutions to a parametrized constrained optimization problem in Hilbert spaces and provided sufficient conditions for its existence, symmetry, and negative semidefiniteness.
References
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Book
Foundations of Economic Analysis
TL;DR: Recent statistical techniques, including nonlinear programming, have been added to a basic survey of equilibrium systems, comparative statistics, consumer behavior theory, and cost and production theory as discussed by the authors, and they have been used in a variety of applications.
Book
General competitive analysis
Kenneth J. Arrow,Frank Hahn +1 more
TL;DR: General competitive analysis, General competitive analysis as mentioned in this paper, General Competitive Analysis (GCA), general competitive analysis (GCA), GCA, GCA(GCA), GCA
Journal ArticleDOI
Global analysis and economics III: Pareto Optima and price equilibria
TL;DR: In this paper, a global version of the fundamental theorem of welfare economics is proved and a pure exchange economy with fixed total resources where hypotheses of differentiability, convexity, and monotonicity are made on the utility functions.