Accinelli, Elvio and Covarrubias, Enrique (2013): An extension of the Sard-Smale Theorem to domains with an empty interior.
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Abstract
This work extends the Sard-Smale Theorem to maps between convex subsets of Banach spaces that may have an empty interior.
Item Type: | MPRA Paper |
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Original Title: | An extension of the Sard-Smale Theorem to domains with an empty interior |
Language: | English |
Keywords: | General equilibrium theory; regular economies; critical economies. |
Subjects: | D - Microeconomics > D5 - General Equilibrium and Disequilibrium D - Microeconomics > D5 - General Equilibrium and Disequilibrium > D50 - General D - Microeconomics > D5 - General Equilibrium and Disequilibrium > D51 - Exchange and Production Economies D - Microeconomics > D5 - General Equilibrium and Disequilibrium > D53 - Financial Markets |
Item ID: | 47573 |
Depositing User: | Enrique Covarrubias |
Date Deposited: | 12 Jun 2013 16:36 |
Last Modified: | 26 Sep 2019 08:49 |
References: | Accinelli, E. (2010) ``A generalization of the implicit function theorem.'' Applied Mathematical Sciences 4-26, 1289 - 1298. Balasko, Y. (1975) ``Some results on uniqueness and on stability of equilibrium in general equilibrium theory.'' Journal of Mathematical Economics 2, 95-118. Balasko, Y. (1997a) ``Pareto optima, welfare weights, and smooth equilibrium analysis.'' Journal of Economic Dynamics and Control 21, 473-503. Balasko, Y. (1997b) ``Equilibrium analysis of the infinite horizon model with smooth discounted utility functions.'' Journal of Economic Dynamics and Control 21, 783-829. Balasko, Y. (1997c) ``The natural projection approach to the infinite-horizon model.'' Journal of Mathematical Economics 27, 251-265. Bewley, T.F. (1972) ``Existence of equilibria in economies with infinitely many commodities.'' Journal of Economic Theory 4, 514-540. Chichilnisky, G. and G. Heal (1996) ``On the existence and the structure of the pseudo-equilibrium manifold,'' Journal of Mathematical Econonomics 26, 171-186. Debreu, G. (1970) ``Economies with a finite set of equilibria.'' Econometrica 38, 387-392. Duffie, D. and C.F. Huang (1985) ``Implementing Arrow-Debreu equilibria by continuous trading of a few long-lived securities.'' Econometrica 53, 1337-1356. Kehoe, T.J. and D.K. Levine (1985) ``Comparative statics and perfect foresight in infinite horizon models.'' Econometrica 53, 433-453. Magill, M.J.P. and W.J. Shafer (1990) ``Characterisation of generically complete real asset structure.'' Journal of Mathematical Economics 19, 167-194. Mas-Colell, A. and Zame, W.R. (1991) Equilibrium theory in infinite dimensional spaces. Handbook of Mathematical Economics IV, 1835 -1898. Sard, A. (1942) ``he measure of the critical values of differentiable maps.'' Bulletin of the American Mathematical Society 48, 883-890. Smale, S. (1965) ``An infinite dimensional version of Sard's theorem.'' American Journal of Mathematics 87-4, 861-866. Zeidler, E. (1993) Non Linear Functional Analysis and its Applications. Springer Verlag. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/47573 |
Available Versions of this Item
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An extension of the Sard-Smale Theorem to domains with an empty interior. (deposited 05 Jun 2013 05:22)
- An extension of the Sard-Smale Theorem to domains with an empty interior. (deposited 12 Jun 2013 16:36) [Currently Displayed]