Foundations of Economic Analysis |
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Page 288
... LINEAR AND NONLINEAR SYSTEMS Up until now most economists have concerned themselves with linear systems , not because of any belief that the facts were so simple , but rather because of the mathematical difficulties involved in ...
... LINEAR AND NONLINEAR SYSTEMS Up until now most economists have concerned themselves with linear systems , not because of any belief that the facts were so simple , but rather because of the mathematical difficulties involved in ...
Page 394
... linear , then the a's must be constants , and we have the case of constant coefficients . 16. Whether or not time enters explicitly , it is easy to derive from equation ( 29 ) the theorem : A linear combination of a number of solutions ...
... linear , then the a's must be constants , and we have the case of constant coefficients . 16. Whether or not time enters explicitly , it is easy to derive from equation ( 29 ) the theorem : A linear combination of a number of solutions ...
Page 430
... linear factor . Now the roots of ƒ cannot be " stable , " unless the roots of each linear and quadratic factor are stable . We must investigate then these simple cases , which can fortunately be treated exhaustively in a simple way . The ...
... linear factor . Now the roots of ƒ cannot be " stable , " unless the roots of each linear and quadratic factor are stable . We must investigate then these simple cases , which can fortunately be treated exhaustively in a simple way . The ...
Contents
INTRODUCTION | 3 |
Illustrative Tax Problem | 14 |
THE Theory of Maximizing BEHAVIOR | 21 |
Copyright | |
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a₁ algebraic amount analysis arbitrary assumed assumption behavior chapter coefficients commodity comparative statics competition conditions of equilibrium constant consumer consumer's defined demand curve demand functions determined difference equations differential equations discussion dynamic economic theory economists equal equi expression extremum fact factors of production finite firm formal G. D. Birkhoff given Hicks implies independent index numbers indifference curves individual initial conditions interest involved isoquant J. R. Hicks librium linear marginal cost marginal utility matrix maximize maximum minimum motion negative definite numeraire optimal optimum output parameter partial derivatives perfect competition polynomial positive possible preference field principal minors problem production function quadratic form quantity rationing relations respect result roots solution stability theorem tion transformation unique utility index utility of income values vanish variables welfare economics written zero Σ Σ дх