On the continuity of the Walras correspondence in distributional economies with an infinite-dimensional commodity space

Sebastián Cea-Echenique*, Matías Fuentes*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Distributional economies are defined by a probability distribution in the space of characteristics where the commodity space is an ordered separable Banach space. We characterize the continuity of the equilibrium correspondence and an associated stability concept which allows us to give a positive answer to an open question about the continuity of the Walras correspondence in infinite-dimensional spaces. As a byproduct, we study a stability concept where differentiability assumptions are not required, as is usual in the literature on regularity. Moreover, since distributional economies do not specify a space of agents, our setting encompasses several results in the literature on large economies.

Original languageEnglish
Pages (from-to)61-69
Number of pages9
JournalMathematical Social Sciences
Volume129
DOIs
StatePublished - May 2024

Bibliographical note

Publisher Copyright:
© 2024 Elsevier B.V.

Keywords

  • Distributional economies
  • Equilibrium correspondence continuity
  • Essential stability
  • Infinite-dimensional spaces

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