Introducing Game Theory and its Applications

Elliott Mendelson, Daniel Zwillinger

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English

Chapman & Hall/CRC
02 August 2024

Microeconomics; Discrete mathematics; Probability & statistics; Game theory; Applied mathematics

Series: Advances in Applied Mathematics

This classic text, originally from the noted logician Elliot Mendelson, is intended to be an easy-to-read introduction to the basic ideas and techniques of game theory. It can be used as a class textbook or for self-study.

Introducing Game Theory and its Applications, Second Edition presents an easy-to-read introduction to the basic ideas and techniques of game theory. After a brief introduction, the authors begin with a chapter devoted to combinatorial games--a topic neglected or treated minimally in most other texts. The focus then shifts to two-person zero-sum games and their solutions.

Here the authors present the simplex method based on linear programming for solving these games and develop within this presentation the required background. The final chapter presents some of the fundamental ideas and tools of non-zero-sum games and games with more than two players, including an introduction to cooperative game theory.

The book is suitable for a first undergraduate course in game theory, or a graduate course for students with limited previous exposure. It is useful for students who need to learn some game theory for a related subject (e.g., microeconomics) and have a limited mathematical background. It also prepares its readers for more advanced study of game theory's applications in economics, business, and the physical, biological, and social sciences.

The authors hope this book breeds curiosity into the subject and is designed to satisfy the readers. The book will prepare readers for deeper study of game theory applications in many fields of study.

By: Elliott Mendelson, Daniel Zwillinger
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Edition: 2nd edition
Dimensions: Height: 234mm, Width: 156mm,
Weight: 453g
ISBN: 9780367507916
ISBN 10: 0367507919
Series: Advances in Applied Mathematics
Pages: 275
Publication Date: 02 August 2024
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Forthcoming

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, Gradshteyn and Ryzhik. He serves as the series editor on the CRC Series of Advances in Applied Mathematics.