Games, Fixed Points and Mathematical Economics by Ewald & McLennan
Games, Fixed Points and Mathematical Economics - Table of Contents
PART I: GAME THEORY & FIXED POINTS
- 1. Foundations of Non-Cooperative Games
- 2. Brouwer’s Fixed Point Theorem and Nash’s Equilibrium Theorem
- 3. More General Equilibrium Theorems (Kakutani & General Equilibrium)
PART II: COOPERATIVE & DYNAMIC GAMES
- 4. Cooperative Games and Coalitional Structure
- 5. Differential Games and Dynamic Control
What You Will Learn in Games, Fixed Points and Mathematical Economics
Games, Fixed Points and Mathematical Economics by Ewald and Andrew McLennan is an authoritative, mathematically rigorous monograph that establishes the fundamental topological and analytical foundations of modern microeconomic theory and non-cooperative game theory. This comprehensive volume guides readers through normal form games, Brouwer’s fixed point theorem, Kakutani’s extension, Nash equilibrium existence proofs, general competitive equilibrium theory, cooperative coalitional games, and continuous-time differential games with exceptional precision and structural clarity.
Designed for graduate students, mathematical economists, microeconomic theorists, and quantitative strategists, this foundational text bridges pure algebraic topology and strategic economic modeling. The authors detail step-by-step mathematical proofs for correspondence fixed points, general equilibrium price vector existence, characteristic function games, and optimal control strategies in differential games. Whether you are analyzing general equilibrium models, strategic coalitional stability, or continuous dynamic games, this book offers an indispensable roadmap.
Recognized globally for its rigorous integration of topology and game theory, it stands as one of the best mathematical economics books for advanced self-study. By balancing abstract fixed-point topology with practical economic applications, it serves as an essential tool for mastering economic equilibrium theory with confidence.
Book Details & Specifications
Title:
Games, Fixed Points and Mathematical Economics by Ewald & McLennan
Publisher:
SSRN (Social Science Research Network)
Year:
2017
Pages:
648
Type:
PDF
Language:
English
ISBN-10 #:
9811307091
ISBN-13 #:
978-9811307096
License:
University Educational Resource
Amazon:
Amazon
About the Author: Andrew McLennan
The author Andrew McLennan
is a Professor in the School of Economics at the University of Queensland, Australia, and formerly held positions at the University of Minnesota. Internationally celebrated for his foundational research in economic theory, computational game theory, algebraic topology, and fixed point computation, he is widely known for developing efficient algorithms for computing Nash equilibria.
Co-authored alongside Ewald, an expert in analytical game theory and mathematical modeling, Games, Fixed Points and Mathematical Economics reflects their combined dedication to rigorous economic pedagogy. Their clear topological explanations, formal proof structures, and focus on foundational equilibrium existence make this monograph a classic reference for mathematical game theory trusted by theoretical economists and mathematicians worldwide.
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