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A Quasi Fixed-Point Theorem for a Product of u.s.c. or o.l.s. Correspondences with an Economic Application

Author

Listed:
  • Lefebvre, I.

Abstract

In the first place, we present a quasi fixed-point theorem for a correspondence defined on some infinite-dimensional locally convex topological vector space such that some variables have open lower sections and the other ones are upper semicontinuous. In the second place, we propose a direct application of the quasi fixed-point result in an economic model. More precisely, we prove a nonemptiness result of the core of an exchange economy with asymmetric information, a continuum of states and a finite number of commodities.

Suggested Citation

  • Lefebvre, I., 1999. "A Quasi Fixed-Point Theorem for a Product of u.s.c. or o.l.s. Correspondences with an Economic Application," Papiers d'Economie Mathématique et Applications 1999-62, Université Panthéon-Sorbonne (Paris 1).
    • Handle: RePEc:fth:pariem:1999-62
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    More about this item

    Keywords

    EXCHANGE RATE ; INFORMATION ; ECONOMIC MODELS;
    All these keywords.

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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