Bibliographic Information
- Other Title
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- Note on Duality in Inequality Systems
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Abstract
The purpose of this note is to present a proposition on a sort of duality relation concerning systems of nonlinear inequalities. A useful theorem due to A.W. Tucker(1956) on duality relations valid for systems of linear inequalities was partially generalized to systems of nonlinear inequalities in Fujimoto(1980), in which a given vector-valued mapping is assumed to be either pseudoconcave or homogeneous of a positive degree. Another partial extension of Tucker's result is made in Fujimoto-Ranade(1995), where the concavity of a given mapping is required. The assumption of concavity seems too strong in a model with externalities and variable returns, and so in this note a weaker assumption of pseudoconcavity is restored with an additional requirement.
Journal
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- 岡山大学経済学会雑誌
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岡山大学経済学会雑誌 29 (1), 105-110, 1997-06-05
岡山大学経済学会
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Details 詳細情報について
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- CRID
- 1390572174502254720
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- NII Article ID
- 110000129875
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- NII Book ID
- AN00032897
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- ISSN
- 03863069
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- NDL BIB ID
- 4242149
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- Text Lang
- en
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- Data Source
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- JaLC
- IRDB
- NDL
- CiNii Articles