Journal ArticleDOI
Structure of the demand function and Pareto optimal set with natural boundary conditions
TLDR
In this paper, the authors consider a set of utility functions defined on P, the closure of the positive orthant of Rl that satisfy the differentiable monotonicity and differentiable convexity conditions and show that the demand function derived from such a utility function is piecewise smooth.About:
This article is published in Journal of Mathematical Economics.The article was published on 1978-03-01. It has received 7 citations till now. The article focuses on the topics: Differentiable function & Piecewise.read more
Citations
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Journal ArticleDOI
Contractibility of efficient point sets in normed spaces
TL;DR: In this article, the authors proposed a new method which makes it possible to prove most important properties of efficient point sets such as contractibility and connectedness in general normed spaces.
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.
Journal ArticleDOI
Structure of the first-order solution set for a class of nonlinear programs wit h parameters
TL;DR: It is shown that under certain conditions this set of first-order solutions of a family of nonlinear programs in which the inequality constraints are fixed but the right hand side of the equality constraints varies varies is a topological manifold.
Journal ArticleDOI
Nice demand functions – II
TL;DR: In this paper, it was shown that demand is n−1 times differentiable almost everywhere if utility is analytic and demand is analytic almost everywhere and also satisfies condition (N) when utility is not analytic.
Journal ArticleDOI
Bibliographic zur Vektoroptimierung -Theorie und Anwendungen (l. Fortsetzung)
TL;DR: In this article, the authors present a Bibliographic zur Vektoroptimierung -Theorie und Anwendungen (l. Fortsetzung) Mathematische Operationsforschung and Statistik.
References
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Journal ArticleDOI
Global analysis and economics VI: Geometric analysis of Pareto Optima and price equilibria under classical hypotheses
TL;DR: In this paper, the main goal is to understand the structure of the set of Pareto Optima and price equilibria of classical economic systems in a differentiable setting.
Journal ArticleDOI
Accessibility of optima in pure exchange economies
TL;DR: In this article, it was shown that if y and z are allocations of a pure exchange economy with z optimal and preferred to y by every agent, then there is a trade curve of finite length from y to z.
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