Structural stability, Morse's lemma and singular economies
AbstractIn this paper we consider economies whose consumption spaces are subsets of a Hilbert space with non-empty interior, and we introduce the Negishi approach to characterize the social equilibria of these economies. Using Morse's lemma, we analyze the main characteristics of two-agents-economies, and classify them. We show that the characteristics of \similar economies", in the sense introduced in [Debreu,G. (1970)], can be very di®erent from the structural stability point of view. Finally, we show that the useful mathematical de¯nition of structural stability is not enough to characterize structural stability in economics.
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Bibliographic InfoPaper provided by Department of Economics - dECON in its series Documentos de Trabajo (working papers) with number 0607.
Length: 14 pages
Date of creation: Jul 2007
Date of revision:
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Structural stability; Morse functions; singular economies;
Find related papers by JEL classification:
- D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2007-10-20 (All new papers)
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- Elvio Accinelli & Alfredo Piria & Martín Puchet, 2001. "Tastes and Singular Economies," Documentos de Trabajo (working papers), Department of Economics - dECON 1301, Department of Economics - dECON.
- Elvio Accinelli, 1999.
"Existence and uniqueness of the Competitive Equilibrium for Infinite Dimensional Economies,"
Documentos de Trabajo (working papers), Department of Economics - dECON
0399, Department of Economics - dECON.
- Elvio Accinelli, 1994. "Existence and uniqueness of the competitive equilibrium for infinite dimensional economies," Estudios de Economia, University of Chile, Department of Economics, University of Chile, Department of Economics, vol. 21(2 Year 19), pages 313-326, December.
- repec:fth:coluec:9596-17 is not listed on IDEAS
- Chichilnisky, Graciela & Zhou, Yuqing, 1998.
"Smooth infinite economies,"
Journal of Mathematical Economics,
Elsevier, vol. 29(1), pages 27-42, January.
- Chichilnisky, G. & Zhou, Y., 1996. "Smooth Infinite Economies," Discussion Papers, Columbia University, Department of Economics 1996_14, Columbia University, Department of Economics.
- Chichilnisky, G & Zhou, Y, 1996. "Smooth Infinite Economiesq," Discussion Papers, Columbia University, Department of Economics 1996_30, Columbia University, Department of Economics.
- Elvio Accinelli Gamba & Leobardo Plata PÃ©rez, 2008. "Crisis sociales y singularidades. Los fundamentos microeconÃ³micos de las crisis sociales," Ensayos Revista de Economia, Universidad Autonoma de Nuevo Leon, Facultad de Economia, vol. 0(2), pages 49-88, November.
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