THE LOCAL UNIQUENESS OF EQUILIBRIA.

We shall present an alternative proof of C. Debreu's theorem on the finiteness of the set of equilibria [1], and some related new results. The set of economies with finitely many equilibria is dense with respect to a very weak topology on the set of exchange economies. The equilibrium correspondence...

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Publicado en:Econometrica Vol. 40; no. 5; pp. 867 - 882
Autores principales: Dierker, Egbert, Dierker, Hildegard
Formato: Artículo
Publicado: Wiley-Blackwell Sep72
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        atl: THE LOCAL UNIQUENESS OF EQUILIBRIA.
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          Dierker, Egbert
          Dierker, Hildegard
        affil: University of California
      su:
        Economic equilibrium
        Economies of scale
        Demand function
        Economic demand
        Mathematical models of economics
        Mathematical economics
        Topology
        Econometrics
      sug:
        subj:
          Economic equilibrium
          Economies of scale
          Demand function
          Economic demand
          Mathematical models of economics
          Mathematical economics
          Topology
          Econometrics
      ab: We shall present an alternative proof of C. Debreu's theorem on the finiteness of the set of equilibria [1], and some related new results. The set of economies with finitely many equilibria is dense with respect to a very weak topology on the set of exchange economies. The equilibrium correspondence and the number of equilibria are continuous with respect to a strong topology on the set of regular economies where ‘regular’ is defined as in [1]. Perhaps the methods used in this paper are more interesting than the results. The key concept we use is that of transversality. The essential regularity property of regular economies is that their excess demand functions are transversal to zero.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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          year: 1972
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