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Structural stability, Morse's lemma and singular economies

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Author Info
Elvio Accinelli () (UASLP, Facultad de Economía San Luis Potosí, México)

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Abstract

In 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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Paper provided by Department of Economics - dECON in its series Documentos de Trabajo (working papers) with number 0607.

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Length: 14 pages
Date of creation: Jul 2007
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Handle: RePEc:ude:wpaper:0607

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Related research
Keywords: Structural stability; Morse functions; singular economies;

Find related papers by JEL classification:
D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

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  1. Chichilnisky, Graciela & Zhou, Yuqing, 1998. "Smooth infinite economies," Journal of Mathematical Economics, Elsevier, vol. 29(1), pages 27-42, January. [Downloadable!] (restricted)
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  2. repec:fth:coluec:9596-17 is not listed on IDEAS
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