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Competitive equilibria with consumption possibility depending on endowments: a global analysis

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  • Jean-Marc Bonnisseau

    (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Elena L. del Mercato

    (CSEF - Centre of Studies in Economics and Finance - UNISA - Università degli Studi di Salerno = University of Salerno)

Abstract

In the spirit of Smale's work, we consider a pure exchange economy with general consumption sets. We consider the case in which the consumption set of each household is described in terms of an inequality on a function called possibility function. The possibility function represents the restricted consumption possibility on commodity markets. The main innovation comes from the dependency of the possibility function with respect to the individual initial endowment. We prove that, generically, equilibria are finite and they locally depend on the initial endowments in a smooth manner.

Suggested Citation

  • Jean-Marc Bonnisseau & Elena L. del Mercato, 2005. "Competitive equilibria with consumption possibility depending on endowments: a global analysis," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00197474, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00197474
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00197474v1
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    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

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