On the Existence of A Solution to Linear Complementarity Problem in Spatial Equilibrium Model of International Trade and Its Algorithm - Collections | Kyushu University Library

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＜departmental bulletin paper＞
On the Existence of A Solution to Linear Complementarity Problem in Spatial Equilibrium Model of International Trade and Its Algorithm

Creator	Author PID K000332 Creator Name 川口, 雅正 Kawaguchi, Tsunemasa Affiliation Affiliation Name 九州大学大学院農学研究院農業資源経済学部門農業関連産業組織学講座農業計算学研究室 Laboratory of Quantitative Analysys of Agribusiness Organization, Division of Industrial Organization of Agribusiness, Department of Agricultural and Resource Economics, Faculty of Agriculture, Kyushu University
Creator	Creator Name 庄野, 千鶴 Shono, Chizuru Affiliation Affiliation Name 精華女子短期大学 \| 九州大学大学院農学研究院農業資源経済学部門農業関連産業組織学講座農業計算学研究室 SEIKA Women's Junior Collge \| Laboratory of Quantitative Analysys of Agribusiness Organization, Division of Industrial Organization of Agribusiness, Department of Agricultural and Resource Economics, Faculty of Agriculture, Kyushu University
Language	Japanese
Publisher	九州大学大学院農学研究院
Publisher	Faculty of Agriculture, Kyushu University
Date	2000-11
Source Title	Science bulletin of the Faculty of Agriculture, Kyushu University
Vol	55
Issue	1
First Page	77
Last Page	81
Publication Type	Version of Record
Access Rights	open access
JaLC DOI	https://doi.org/10.15017/21071

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PISSN	1347-0159
NCID	AA11577672
Record ID	21071
Peer-Reviewed	Unrefereed
Subject Terms	国際貿易空間均衡モデル
	線形相補性問題(LCP)
	アルゴリズム
	解
	均衡条件
Notes	Shono and Kawaguchi (1999a, 1999b, 2000) present Spatial Equilibrium Model of international trade under tariff quota system with specific and ad valorem duties, and specify the equilibrium condition of the model as Linear Complementarity Problem (LCP). They also present several examples of the LCP and solve the example problems to show that the LCP has a solution. But they give no general mathematical proof of the existence of a solution to the LCP. In this paper, we give a general mathematical proof of the existence of a solution to the LCP, and we discuss efficient algorithm to solve the LCP on the basis of our computationa experience.
Notes	庄野・川口（1999a, 1999b, 2000）の関税を導入した国際貿易空間均衡モデルの均衡条件はすぺて線形相補正問題（Linear Complementarity Problem : 以降LCPと略記）として定式化された. そしてそれらの論文のなかで, 数多くの具体的な事例を示し均衡解が得られることを示してきた. しかしそのLCPに必ず解が存在するという一般的かつ数学的な証明は行っていなかった. そこで, 本稿ではそのLCPに解が存在することを証明し, またそのアルゴリズムについて考察する. なお, 本稿は平成11年12月に東京大学で開催されたTEA研究会での筆者の報告を加筆訂正したものである.
Created Date	2012.07.26
Modified Date	2022.11.11