Introducing Game Theory and its Applications: Advances in Applied Mathematics
Autor Elliott Mendelsonen Limba Engleză Hardback – 3 iul 2004
In a clear and refreshing departure from this trend, Introducing Game Theory and its Applications presents an easy-to-read introduction to the basic ideas and techniques of game theory. After a brief introduction, the author begins 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 solution. Here the author presents the simplex method, based on linear programming, for solving these games and develops within his presentation the required background in linear programming. 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.
This book will not only satisfy the curiosity of those whose interest in the subject was piqued by the 1994 Nobel Prize awarded to Harsanyi, Nash, and Selten. It also prepares its readers for more advanced study of game theory's applications in economics, business, and the physical, biological, and social sciences.
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Specificații
ISBN-13: 9781584883005
ISBN-10: 1584883006
Pagini: 272
Ilustrații: 132 equations; 182 Tables, black and white; 27 Illustrations, black and white
Dimensiuni: 156 x 234 x 19 mm
Greutate: 1.15 kg
Ediția:UK edition
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Advances in Applied Mathematics
ISBN-10: 1584883006
Pagini: 272
Ilustrații: 132 equations; 182 Tables, black and white; 27 Illustrations, black and white
Dimensiuni: 156 x 234 x 19 mm
Greutate: 1.15 kg
Ediția:UK edition
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Advances in Applied Mathematics
Public țintă
UndergraduateCuprins
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.
Recenzii
"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
-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
Descriere
This text presents an easy-to-read introduction to the basic ideas and techniques of game theory. It begins by discussing combinatorial games—a topic often neglected in other texts—and then moves to two-person zero-sum games. The final chapter explores the concepts and tools of non-zero-sum games and games with more than two players. Suitable as a textbook, for self-study, and as a reference, this introduction prepares readers for more advanced study of game theory’s applications in economics, business, and the physical, biological, and social sciences.