The structure of economics: a mathematical analysis
This text combines mathematical economics with microeconomic theory and can be required or recommended as part of a course in graduate microeconomic theory, advanced undergraduate or graduate-level mathematical economics, or any advanced topics course. It also has reference value for international, library, professional and reference markets. This revision addresses significant new topics--the theory of contracts and markets with imperfect information--that have recently become prominent in the microeconomics literature.
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analysis assert behavior budget capital chain rule choice functions column comparative statics concave Consider constraint consumer consumption convex cost function cost-minimization decision variables defined demand curves demand functions determinant differential economics elasticity envelope theorem equal Euler's theorem example f(xu x2 factor prices factor-demand curves firm first-order conditions held constant Hence homogeneous functions homogeneous of degree homothetic hypothesis identical implied increase indifference curves input integral isoquants labor Lagrange multiplier lagrangian level curves marginal cost marginal product marginal utility mathematical matrix maximize maximum minimum money income negative objective function output price parameter partial derivatives postulate price changes principal minors problem production function profit-maximizing profits refutable represents respect revealed preference second partials second-order conditions slope Slutsky equation solution solved substitution sufficient second-order conditions Suppose tangency theory tion unit utility function vector yields