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Possibility functions and regular economies

Author

Listed:
  • 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)- University degli Studi di Salerno)

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

Suggested Citation

  • Jean-Marc Bonnisseau & Elena L. del Mercato, 2007. "Possibility functions and regular economies," Documents de travail du Centre d'Economie de la Sorbonne b07033, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised May 2007.
    • Handle: RePEc:mse:cesdoc:b07033
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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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