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

• LEE SANGJIK

  Hankuk University of Foreign Studies

抄録

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.

収録刊行物

• Hitotsubashi Journal of Economics

  Hitotsubashi Journal of Economics 54 (2), 221-230, 2013-12

  Hitotsubashi University

キーワード

• convexifying effect
• saturated probability space
• the Gale-Nikaido-Debreu lemma

詳細情報

• CRID: 1390009224866158720
• NII論文ID: 120005359932
• NII書誌ID: AA00207547
• DOI: 10.15057/26020
• HANDLE: 10086/26020
• ISSN: 0018280x
• 本文言語コード: en
• データソース種別:
  • JaLC
  • IRDB
  • CiNii Articles
• 抄録ライセンスフラグ: 使用可