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
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
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.
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