Advanced Fixed Point Theory for Economics
ISBN:
9789811344855
Auflage:
Softcover reprint of the original 1st ed. 2018
Verlag:
Springer Singapore
Land des Verlags:
Malaysia
Erscheinungsdatum:
19.01.2019
Format:
Softcover
Seitenanzahl:
432
Lieferung in 5-10 Werktagen
Versandkostenfrei ab 40 Euro in Österreich
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.
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.
Schlagwörter
Nash equilibrium
general equilibrium theory
economic modeling
topology
fixed point theory
fixed point index
topological degree
metric space theory
topological methods
multivariate calculus
differentiable manifold
Fan–Glicksberg theorem
Brouwer fixed point theorem
Kakutani fixed point theorem
Schauder fixed point theorem
Lefschetz fixed point theorem
Eilenberg–Montgomery theorem
Biografische Anmerkung
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.