Introducing Game Theory and its Applications

by Elliott Mendelson

Overview

The mathematical study of games is an intriguing endeavor with implications and applications that reach far beyond tic-tac-toe, chess, and poker to economics, business, and even biology and politics. Most texts on the subject, however, are written at the graduate level for those with strong mathematics, economics, or business backgrounds. In

Product Details

ISBN-13:	9781040075296
Publisher:	CRC Press
Publication date:	02/03/2016
Series:	Advances in Applied Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	272
File size:	2 MB

About the Author

Elliott Mendelson is the late professor emeritus at Queens College in Flushing, New York, USA. Dr. Mendelson obtained his bachelor's at Columbia University and his master's and doctoral degrees at Cornell University and was elected afterward to the Harvard Society of Fellows. In addition to his other writings, he is the author of another CRC Press book, Introduction to Mathematical Logic, Sixth Edition.

Dan Zwillinger has more than 35 years of proven technical expertise in numerous areas of engineering and the physical sciences. He earned a PhD in applied mathematics from the California Institute of Technology. He is the editor of CRC Standard Mathematical Tables and Formulas, 33rd Edition and also Table of Integrals, Series, and Products, by Gradshteyn and Ryzhik. He serves as the series editor of the CRC Series of Advances in Applied Mathematics.

Table of Contents

Introduction. Combinatorial Games. Two-Person Zero-Sum Games. The Simplex Method. The Fundamental Theorem of Duality. Solution of Two-Person Zero-Sum Games. Non-Zero-Sum Games and k-Person Games. Appendices: Finite Probability Theory. Utility Theory. Nash's Theorem. Answers to Selected Exercises. Bibliography.

Editorial Reviews

"This is an important contribution - one that will make demand for this book high. The value of the book can be seen in three distinct characteristics. First, the book does not skimp on providing full details of the theorems (and accompanying proofs) that underpin the strategic study of games. …At a minimum, this book is a wonderful source of games for classroom exercises. …A better understanding of the theory of those games is fundamental to any empirical enterprise, and Introducing Game Theory and Its Applications provides a fine starting point for interested students."
-Interfaces, Andrew B. Whitford, University of Georgia

"In this introductory textbook aimed at anyone trying to understand the implications and applications of game theory, Mendelson provides basic methods for various games that relate to mathematics, economics and business."
-Columbia College Today

"It can be recommended to readers with a limited mathematical knowledge who are interested in game theory and its applications in economics, political science and biology."
-EMS Newsletter, March 2005

From the Publisher