Journal ArticleDOI
Equilibrium analysis and envelope theory
TLDR
In this article, Thom's envelope theory is used to study the qualitative properties of the Debreu mapping, i.e., the restriction of the projection (p, ω )↦ ω to the equilibrium manifold.About:
This article is published in Journal of Mathematical Economics.The article was published on 1978-09-01. It has received 15 citations till now. The article focuses on the topics: Envelope (waves) & Projection (linear algebra).read more
Citations
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Journal ArticleDOI
A geometric approach to equilibrium analysis
TL;DR: In this article, a geometric approach based on intersecting suitable manifolds and affine spaces embedded in some Euclidean space is presented to deal with singular economies and related subjects.
Journal ArticleDOI
Equilibrium analysis of the infinite horizon model with smooth discounted utility functions
TL;DR: In this paper, the equilibrium set and the natural projection are studied in the pure exchange infinite-horizon model with a finite number of infinitely lived agents, utility functions belonging to the smooth discounted variety, and individual endowments being variable.
Book ChapterDOI
Chapter 17 Regular economies
TL;DR: The theory of regular economies is useful for the studies of the local uniqueness of equilibria, continuity of the equilibrium price correspondence, and possibility of comparative statics as discussed by the authors, and it also helps give a better understanding of the core correspondence, because core allocations in a large economy is approximately decentralized through prices.
Journal ArticleDOI
Equilibria and efficiency in the fixprice setting
Yves Balasko,Yves Balasko +1 more
TL;DR: In this article, the authors study efficiency under fixed price constraints and define an equilibrium concept that extends to some degree the standard welfare analysis of general equilibrium theory, and study the set of relatively Pareto efficient allocations.
Journal ArticleDOI
On Comparative Statics and Bifurcation in Economic Equilibrium Theory
TL;DR: In this article, the authors consider the problem of comparative statics to determine the equilibrium values of unknown economic prices and quantities under postulated conditions (functional relationships) with various data (parameters) being specified.
References
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Book
Stable mappings and their singularities
TL;DR: In this article, the Whitney C? topology is used to classify singularities on 2-manifolds. But the Thom-Boardman invariants are not included in this classification.
Book
Topology from the differentiable viewpoint
TL;DR: The fundamental theorem of algebra and its application to smooth manifolds and smooth maps was proved by Sard and Brown as discussed by the authors, and the Brouwer degree modulo 2 of a mapping was shown to be equivalent to the Hopf theorem.