Note on the continuity of demand correspondences

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URI http://shark.lib.kagawa-u.ac.jp/kuir/metadata/5418
Title
Note on the continuity of demand correspondences
File
Description

We may summarize the above results. 1. One can maintain the continuity and the compact valuedness of γ if one of the conditions categorized in Table 1 is satisfied. 2. Suppose that the conditions which ensure the continuity and the compact valuedness of γ are satisfied. (a) one can maintain the u. h. c. and the compact valuedness of the demand correspondence ξ (resp. ψ), and the continuity of the indirect utility function U(ξ(ω)) (resp. V(ψ(ω)) if the utility function U(χ) (resp. V(ω, χ)) is continuous. (b) If the utility function U(χ) (resp. V(ω, χ)) is continuous and quasi-concave with respect to χ, then ξ (resp. ψ) is convex-valued as well as u. h. c. and compact-valued. (c) If the utility function U (χ) (resp. V (ω, χ)) is continuous and strictly quasi-concave with respect to χ, then ξ (resp. ψ) is a continuous function.

研究ノート

Author
著者 Shiomura Takashi
著者(ヨミ) シオムラ タカシ
著者(別表記) 塩村 尊
Publication Title
香川大学経済論叢
Volume
65
Issue
2
Start Page
33
End Page
44
Publisher
香川大学経済研究所
Published Date
199209
ISSN
0389-3030
NCID
AN00038281
Resource Type
Departmental Bulletin Paper
Language
eng
Text Version
publisher
Set
香川大学
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