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THE STRUCTURE OF ECONOMIC MODELS,
GEORGE WASHINGTON UNIV WASHINGTON D C LOGISTICS RESEARCH PROJECT
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An outline of the report is as follows Chapter 1 is the introduction. Next, the mathematical tools of the analysis are developed in Chapter 2, namely, aspects of relation theory or the theory of directed graphs. Chapter 3 presents the correspondence between variable structure and the zero and nonzero entries of the coefficient matrix of a system of simultaneous linear equations. Next, two applications of variable structure are examined. Example I concerns the structure of linear models of balanced accounts, in particular the input-output model. Example II concerns the relationship between matrix structure and qualitatively determinate linear systems. Chapter 4 defines the relationship between variable structure and single valued representations criterion functions of the set of variables. Particular emphasis is placed upon structures which permit recursive optimization techniques. Example III is an application of the concepts introduced in Chapter 4 to the budgeting problem of Strotz.
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