Foundations of Mathematical Economics
This book provides a comprehensive introduction to the mathematical foundations of economics, from basic set theory to fixed point theorems and constrained optimization. Rather than simply offer a collection of problem-solving techniques, the book emphasizes the unifying mathematical principles that underlie economics. Features include an extended presentation of separation theorems and their applications, an account of constraint qualification in constrained optimization, and an introduction to monotone comparative statics. These topics are developed by way of more than 800 exercises. The book is designed to be used as a graduate text, a resource for self-study, and a reference for the professional economist.
About the Author
Michael Carter is Visiting Professor at the University of Hohenheim, Germany.
“This book extends the study of evolutionary dynamics to extensive form games, shifting seamlessly between biological foundations, mathematical tools and economic applications. It will be an essential resource for anyone interested in the evolutionary foundations of behavior.”
—Larry Samuelson, Department of Economics, University of Wisconsin, Madison
“Michael Carter's lucid exposition of a wide range of mathematical tools is essential reading for graduate students of economics. His marvelous collection of up-to-date examples perfectly complements his exposition of the theory.”
—Martin J. Osborne, Department of Economics, University of Toronto