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From Singularity Theory to Finiteness of Walrasian Equilibria

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  • Sofia B.S.D. Castro, Universidade do Porto - Centro de Matemática da Universidade do Porto (CMUP), Portugal
  • Sami F. Dakhlia, Ecole Supérieure du Commerce Extérieur, France
  • Peter Gothen, Denmark
  • Centre for Quantum Geometry of Moduli Spaces
  • Department of Mathematical Sciences
The paper establishes that for an open and dense subset of smooth exchange economies, the number of Walrasian equilibria is finite. In particular, our results extend to non-regular economies; it even holds when restricted to the subset of critical ones. The proof rests on concepts from singularity theory.
Original languageEnglish
PublisherSocial Science Research Network
Number of pages19
Publication statusPublished - 2010

    Research areas

  • Arrow-Debreu, Transversality, Exchange Economy, Critical Equilibria, Finite Singularity, Type

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