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The present monograph analyses some topics in the pure theory of international trade. They are all concerned with the structure of production to which I have paid particular attention after the completion of my Ph.D. course at University of New South Wales. In my Ph.D. thesis, I studied extensively the production possibility sets under Professor Murray C. Kemp, who kindly contained all my products in his edi ting book, Production Sets (Academic Press, 1982). Since then, I have developed the work to the studies of international trade. The present volume is organized with these studies. Therefore, although the draft was written at Nagoya City University, the works at Tokyo Metropolitan Uni versi ty in 1980, Kobe Uni versi ty of Commerce from 1981 to 1984 and University of New South Wales in 1985 were also substantial. All uni versi ties provided me with comfortable circumstances and good colleagues for my academic work.




This book presents theoretical studies on several topics related to production structure and international trade. The topics selected are variable returns to scale, public intermediate goods and natural resources. The analysis of the stability of trade equilibrium includes some new ideas. All topics are mathematically analyzed, so that the book possesses some mathematical aspects as well: the static optimization theory and the stability theory of differential equations are considered in relation to the analyses of international trade. In particular, the analysis on the shapes of production surfaces are re-examined and developed in a unified approach by the efficient use of the optimization theory. The stability analysis of differential equations addresses a new concept on dynamic processes and discusses the stability of properties of the processes of this sort.
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