Owen has expanded "Two-Person General-Sum Games" into two chapters, the second becoming "Two-Person Cooperative Games." There are new sections in the chapters "Two-Person Cooperative Games" and "Indices of Power," and there is new information throughout the book on non-cooperative games. Game Theory remains the only book to cover all salient aspects of this field that, having displaced Keynesian economics, is making inroads throughout the social sciences.
Key Features
• Explains work of 1994 Nobel Prize Winners
• Full expansion of cooperative game theory sections
• Covers games with incomplete information
• Spatial games section features many illustrations
• Updated bibliography
Observing the approach of the Centennial year, the AMS Committee on the Publication Program decided to mark the occasion with the publication of appropriate historical materials. The Committee on History of Mathematics
was appointed to organize and oversee the collection of suitable materials, and to continue a program of publication of mathematical history beyond the Centennial year. The members of the latter committee were Peter Duren (Chairman), Richard Askey, Bruno Harris, and Uta Merzbach.
Although some of the topics discussed are relatively new, others are not: this book is not a collection of research papers, but a textbook to present recent developments of the theory that could be the foundations for future developments.
This book contains a new theory developed by the authors to deal with problems occurring in diffentiable dynamics that are within the scope of general topology. To follow it, the book provides an adequate foundation for topological theory of dynamical systems, and contains tools which are sufficiently powerful throughout the book.
Graduate students (and some undergraduates) with sufficient knowledge of basic general topology, basic topological dynamics, and basic algebraic topology will find little difficulty in reading this book.
