COMPETITIVE EQUILIBRIUM WITH AN ATOMLESS MEASURE SPACE OF AGENTS AND INFINITE DIMENSIONAL COMMODITY SPACES WITHOUT CONVEX AND COMPLETE PREFERENCES
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- LEE SANGJIK
- Hankuk University of Foreign Studies
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説明
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
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- Hitotsubashi Journal of Economics
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Hitotsubashi Journal of Economics 54 (2), 221-230, 2013-12
Hitotsubashi University
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詳細情報 詳細情報について
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- CRID
- 1390009224866158720
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- NII論文ID
- 120005359932
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- NII書誌ID
- AA00207547
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- DOI
- 10.15057/26020
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- HANDLE
- 10086/26020
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- ISSN
- 0018280x
- 0018280X
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- 本文言語コード
- en
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- 資料種別
- departmental bulletin paper
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- データソース種別
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- JaLC
- IRDB
- CiNii Articles
- OpenAIRE
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- 抄録ライセンスフラグ
- 使用可