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Possibility functions and regular economies

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Author Info
Jean-Marc Bonnisseau () (Centre d'Economie de la Sorbonne)
Elena L. del Mercato () (Dipartimento di Scienze Economiche e Statistiche (DISES) et Centre for Studies in Economics and Finance (CSEF)- Università degli Studi di Salerno)

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Abstract

In the spirit of Smale's work, we consider pure exchange economies with general consumption sets. In this paper, the consumption set of each household is described in terms of a function called possibility function. The main innovation comes from the dependency of each possibility function with respect to the individual endowment. We prove that, generically in the space of endowments and possibility functions, economies are regular. A regular economy has only a finite number of equilibria which locally depend on endowments and possibility functions in a continuous manner.

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File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2007/B07033.pdf
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Publisher Info
Paper provided by Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number b07033.

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Length: 31 pages
Date of creation: Mar 2007
Date of revision: May 2007
Handle: RePEc:mse:cesdoc:b07033

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Web page: http://ces.univ-paris1.fr/
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Related research
Keywords: General economic equilibrium; consumption possibility; regular economy.;

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Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

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This page was last updated on 2009-11-23.


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