Softcover ISBN:  9781470471965 
Product Code:  NML/36.S 
List Price:  $65.00 
eBook ISBN:  9780883859506 
Product Code:  NML/36.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 
Softcover ISBN:  9781470471965 
eBook: ISBN:  9780883859506 
Product Code:  NML/36.S.B 
List Price:  $115.00 $90.00 
Softcover ISBN:  9781470471965 
Product Code:  NML/36.S 
List Price:  $65.00 
eBook ISBN:  9780883859506 
Product Code:  NML/36.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 
Softcover ISBN:  9781470471965 
eBook ISBN:  9780883859506 
Product Code:  NML/36.S.B 
List Price:  $115.00 $90.00 

Book DetailsAnneli Lax New Mathematical LibraryVolume: 36; 1993; 244 pp
This book is an introduction to mathematical game theory, which might better be called the mathematical theory of conflict and cooperation. It is applicable whenever two individuals—or companies, or political parties, or nations—confront situations where the outcome for each depends on the behavior of all. What are the best strategies in such situations? If there are chances of cooperation, with whom should you cooperate, and how should you share the proceeds of cooperation? Since its creation by John von Neumann and Oskar Morgenstern in 1944, game theory has shed new light on business, politics, economics, social psychology, philosophy, and evolutionary biology.
In this book, its fundamental ideas are developed with mathematics at the level of high school algebra and applied to many of these fields (see the table of contents). Ideas like “fairness” are presented via axioms that fair allocations should satisfy; thus the reader is introduced to axiomatic thinking as well as to mathematical modeling of actual situations.

Table of Contents

Chapters

Part I. TwoPerson ZeroSum Games

Part II. TwoPerson NonZeroSum Games

Part III. $N$Person Games


Additional Material

Reviews

“Game Theory and Strategy” is an elegant, crystalclear expository work. Key concepts are emphasized and clearly explained.
Nature


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This book is an introduction to mathematical game theory, which might better be called the mathematical theory of conflict and cooperation. It is applicable whenever two individuals—or companies, or political parties, or nations—confront situations where the outcome for each depends on the behavior of all. What are the best strategies in such situations? If there are chances of cooperation, with whom should you cooperate, and how should you share the proceeds of cooperation? Since its creation by John von Neumann and Oskar Morgenstern in 1944, game theory has shed new light on business, politics, economics, social psychology, philosophy, and evolutionary biology.
In this book, its fundamental ideas are developed with mathematics at the level of high school algebra and applied to many of these fields (see the table of contents). Ideas like “fairness” are presented via axioms that fair allocations should satisfy; thus the reader is introduced to axiomatic thinking as well as to mathematical modeling of actual situations.

Chapters

Part I. TwoPerson ZeroSum Games

Part II. TwoPerson NonZeroSum Games

Part III. $N$Person Games

“Game Theory and Strategy” is an elegant, crystalclear expository work. Key concepts are emphasized and clearly explained.
Nature