Games, Fixed Points and Mathematical Economics by Ewald & McLennan
Games, Fixed Points and Mathematical Economics - Table of Contents
1. Games
2. Brouwer’s Fixed Point Theorem and Nash’s Equilibrium Theorem
3. More General Equilibrium Theorems
4. Cooperative Games
5. Differential Games
What You Will Learn in Games, Fixed Points and Mathematical Economics
"Games, Fixed Points and Mathematical Economics" by "Christian-Oliver Ewald" and "Andrew McLennan" is a concise yet rigorous book that explains how advanced mathematics supports modern economic theory. The authors focus on how "fixed point theorems" provide the foundation for proving the existence of equilibria in economic models and strategic games. The writing connects abstract mathematics with real economic reasoning in a clear and structured way.
The book carefully introduces core ideas from "game theory", topology, and optimization, showing how they are used to analyze competitive and cooperative economic situations. Key mathematical tools such as Brouwer and Kakutani fixed point results are explained with economic intuition in mind. This helps readers understand why equilibrium concepts like Nash equilibrium are mathematically valid and not just theoretical assumptions.
Designed mainly for graduate students and researchers, the book bridges the gap between "mathematical economics" and formal proofs. It is especially useful for readers who want to strengthen their understanding of the mathematical structure behind economic models. By combining theory with clear motivation, the authors demonstrate how mathematics shapes modern economic analysis through "equilibrium analysis" and strategic decision-making.
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: Christian-Oliver Ewald and Andrew McLennan
The author Christian-Oliver Ewald and Andrew McLennan
are well-known scholars in "mathematical economics" and "game theory". Their academic work focuses on explaining how mathematical structures support economic models, especially those involving strategic interaction and equilibrium concepts. Ewald is recognized for his clear teaching approach and use of "fixed point theory" to explain economic equilibria. McLennan, a professor of economics, brings deep expertise in "microeconomic theory" and formal modeling. Together, they connect rigorous mathematics with economic intuition, making complex ideas in "equilibrium analysis" accessible to advanced students and researchers.
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