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Comparing Optima: Do Simplifying Assumptions Affect Conclusions?
Journal of Political Economy
Vol. 102, No. 3 (Jun., 1994), pp. 607-615
Published by: The University of Chicago Press
Stable URL: http://www.jstor.org/stable/2138625
Page Count: 9
You can always find the topics here!Topics: Mathematical monotonicity, Economic theory, Mathematical functions, Demand, Sufficient conditions, Political economy, Logical theorems, Mathematical independent variables, Convexity, Prices
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Consider a family of maximization models in which the optimum trades off beneficial and costly effects. Then comparative statics derived under many kinds of simplifying assumptions about the benefits technology are also true for general (convex and nonconvex) technologies. For example, any comparative statics conclusion about investment by a risk-averse decision maker under uncertainty that holds when expected returns are described by a general linear function also holds for an arbitrary nonlinear expected return function.
Journal of Political Economy © 1994 The University of Chicago Press