Carruth, Alan A. (1983) Applications of numerical computation methods in microeconomic theory. PhD thesis, University of Warwick.

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Abstract

The solution of mathematical problems by numerical analysis is
a large, intricate subject in its own right, and the substance-of many
Ph. D. theses in mathematics. The advancement of numerical analysis and
computer technology are clearly not mutually exclusive. Moreover this
combination through the growth in computer software facilities is' easily
within reach of a researcher with no expertise in either numerical
analysis or computer programming. In particular the Numerical Algorithms
Group (NAG) based in Oxford provides a library of subroutines for
incorporation into source programmes across a broad spectrum of
mathematics. The relevance of this development for the economist lies
with the considerable scope for providing quantitative evaluations of
microeconomic models outside of traditional statistical methods. To
justify such a claim the thesis develops a number of applications from
microeconomic theory: imperfect information in a non-sequential search
framework; optimum tax with endogenous wages; a two sector general
equilibrium model of union and non-union wage rate determination;
Chamberlin's welfare ideal; and a quantity setting duopoly analysis of
the structure conduct performance paradigm.
It is hoped that the insights gained from such diverse topics will
convince the reader as to the appropriateness of applying numerical
computing to microeconomic questions in general, and the usefulness of
the NAG software in particular.

Item Type:	Thesis (PhD)
Subjects:	H Social Sciences > HB Economic Theory Q Science > QA Mathematics Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Library of Congress Subject Headings (LCSH):	Microeconomics, Mathematics -- Data processing , Computer science -- Mathematics , Economics -- Computer programs, Economics, Mathematical , Economics -- Mathematical models
Official Date:	1983
Dates:	Date Event 1983 Submitted
Institution:	University of Warwick
Theses Department:	Department of Economics
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Avinash Dixit; Norman Ireland
Extent:	vi, 169 leaves
Language:	eng

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