LINEAR PROGRAMMING AND ECONOMIC ANALYSIS, Robert Dorfman, Paul Samuelson 1stRAND

Description: LINEAR PROGRAMMING AND ECONOMIC ANALYSIS, One of the classics of "The RAND Series"Robert Dorfman, Paul Samuelson, Robert Solow1st edition 1958 in the original classic RAND colors, including the classic ruby red stripe.Publisher McGraw-HillPrinted for McGraw-Hill by The Maple Press Co., York, Pennsylvania.Library of Congress number 57-7999 (the 1st edition pre-dates ISBNs.) A handsome volume. Has prior owner name in small writing on inner flyleaf. -- Linear programming is a mathematical technique to find the best solution to a problem. What is creates, though, is the algorithm that will find that best solution. In today's techno-jargon it's "Machine Learning" with the machine usually a computer. It involves maximizing or minimizing an objective function while satisfying a set of 'linear inequalities'. The resulting algorithm codes the quantity to be optimized, such as maximizing profit or minimizing cost. Linear constraints define the limitations or restrictions on the variables involved in the problem. The technique assumes that the relationships of variables in the situation and their constraints are 'linear', meaning they can be represented by straight lines or planes (aka easy to understand and visualize). Linear programming is a mathematical algorithm to systematically search for the optimal solution by evaluating the different combinations of variables within the limits of the constraints. Table of Contents Introduction Basic concepts of linear programming The valuation problem, Market Solutions The algebra of linear programming The transportation problem Linear programming analysis of the firm Application to the firm, valuation and duality Nonlinear programming The statistical Leontief system The statistical Leontief system continued Dynamic aspects of linear models Efficient programs of capital accumulation Linear programming and the theory of General Equilibrium Linear programming and welfare economies Elements of Game Theory Interrelations between linear programming and Game Theory Appendix A; chance, utility, and Game Theory Appendix B; the algebra of matrices Bibliography Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4

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