The authors, leading researchers in the fields of mathematical economics
and methodology, present the first comprehensive synthesis of literature
on qualitative and other nonparametric techniques, which are important
elements of comparative statics and stability analysis in economic
theory. The topics covered show how to assess the comparative statics
and stability of economic models without a precise quantitative
knowledge of all model components. Applications of the analysis range
from determining refutable hypotheses from theory to auditing the
solutions of large, computer-based systems.
This book discusses in depth the methodology involved in a nonparametric
analysis of many neoclassical economic models. Constituting a virtually
self-contained manual on such analysis, it provides detailed derivation
of necessary and sufficient conditions for the existence of restrictive
comparative statics and stability results for a range of specified
models. Further, algorithms for applying certain of these conditions are
given, with examples, as well as the underlying mathematical approach
taken.
A large body of research is unified covering issues that have been dealt
with piecemeal in scattered but important journal articles by the
authors and others. The book will prove invaluable to mathematical
economists, mathematicians specializing in matrix or graph theory,
applied economists working with large-scale economic models, and
advanced students of economics.
Originally published in 1999.
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