COMPETITIVE EQUILIBRIUM WITH AN ATOMLESS MEASURE SPACE OF AGENTS AND INFINITE DIMENSIONAL COMMODITY SPACES WITHOUT CONVEX AND COMPLETE PREFERENCES

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Description

We prove the existence of a competitive equilibrium for an economy with an atomless measure space of agents and an infinite dimensional commodity space. The commodity space is a separable Banach space with a non-empty interior in its positive cone. We dispense with convexity and completeness assumptions on preferences. We employ a saturated probability space for the space of agents which enables us to utilize the convexifying effect on aggregation. By applying the Gale-Nikaido-Debreulemma, we provide a direct proof of the existence of a competitive equilibrium.

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Details 詳細情報について

  • CRID
    1390009224866158720
  • NII Article ID
    120005359932
  • NII Book ID
    AA00207547
  • DOI
    10.15057/26020
  • HANDLE
    10086/26020
  • ISSN
    0018280x
    0018280X
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • JaLC
    • IRDB
    • CiNii Articles
    • OpenAIRE
  • Abstract License Flag
    Allowed

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