Advanced Fixed Point Theory for Economics - Softcover

McLennan, Andrew

 
9789811344855: Advanced Fixed Point Theory for Economics

Inhaltsangabe

This book develops the central aspect of fixed point theory – the topological fixed point index – to maximal generality, emphasizing correspondences and other aspects of the theory that are of special interest to economics. Numerous topological consequences are presented, along with important implications for dynamical systems.

The book assumes the reader has no mathematical knowledge beyond that which is familiar to all theoretical economists. In addition to making the material available to a broad audience, avoiding algebraic topology results in more geometric and intuitive proofs.

Graduate students and researchers in economics, and related fields in mathematics and computer science, will benefit from this book, both as a useful reference and as a well-written rigorous exposition of foundational mathematics. Numerous problems sketch key results from a wide variety of topics in theoretical economics, making the book an outstandingtext for advanced graduate courses in economics and related disciplines.

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Über die Autorin bzw. den Autor

Andrew McLennan received his PhD from Princeton in 1982 under the supervision of Hugo Sonnenschein, and is currently Professor at the University of Queensland School of Economics. His primary research interests are in game theory, mathematical economics and microeconomics.

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This book develops the central aspect of fixed point theory – the topological fixed point index – to maximal generality, emphasizing correspondences and other aspects of the theory that are of special interest to economics. Numerous topological consequences are presented, along with important implications for dynamical systems.

The book assumes the reader has no mathematical knowledge beyond that which is familiar to all theoretical economists. In addition to making the material available to a broad audience, avoiding algebraic topology results in more geometric and intuitive proofs.

Graduate students and researchers in economics, and related fields in mathematics and computer science, will benefit from this book, both as a useful reference and as a well-written rigorous exposition of foundational mathematics. Numerous problems sketch key results from a wide variety of topics in theoretical economics, making the book an outstanding text for advanced graduate courses in economics and related disciplines.

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Weitere beliebte Ausgaben desselben Titels

9789811307096: Advanced Fixed Point Theory for Economics

Vorgestellte Ausgabe

ISBN 10:  9811307091 ISBN 13:  9789811307096
Verlag: Springer, 2018
Hardcover