Mathematical EconomicsTextbook on the mathematics aspects of economics - covers developments in nonlinear programming, the economic theory of competition, multisector growth models, etc. Graphs and references. |
Contents
CHAPTER O PRELIMINARIES | 1 |
DEVELOPMENTS OF NONLINEAR PROGRAMMING | 55 |
The QuasiSaddlePoint Characterization | 86 |
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analysis Arrow assume assumption attainable path b₁ balanced growth calculus of variations called capital Chapter commodity competitive equilibrium concave function concept condition consider constant constraint consumer consumption set continuous converges convex cone convex set curve Debreu defined definition demand function denotes differential equations discussion dynamic Leontief Econometrica Economic example exists Figure finite global gross substitutability Hence horizon problem Hurwicz illustrated implies inequality investment K₁ lemma linear programming linear space mathematical matrix maximization maximum metric space Morishima Neumann Nikaido nonempty nonlinear programming nonnegative Note obtain open set output p₁ Pareto optimum price vector problem proof quasi-concave real number real-valued function REMARK satisfied Section solution stability subset Suppose theory tion topological space topology turnpike theorem unique utility function Uzawa variables Walras words x₁ y₁ zero