Series on Optimization - Vol. 3
GAME THEORY
by L A Petrosjan & N A Zenkevich (St. Petersburg State University, Russia)
Game theory is a branch of modern applied mathematics that aims to analyze various problems of conflict between parties that have opposed, similar or simply different interests.
Games are grouped into several classes according to some important features. In this volume zero-sum two-person games, strategic n-person games in normal form, cooperative games, games in extensive form with complete and incomplete information, differential pursuit games and differential cooperative n-person games are considered.
Contents:
- Matrix Games
- Infinite Zero-Sum Two-Person Games
- Nonzero-Sum Games
-
Positional Games
- Differential Games
- Bibliography
- Index
Readership: Applied mathematicians and specialists in management science and
mathematical economics.
"This is a well-crafted textbook that covers a wide range of topics in the theory of decisions in situations of conflict, known also as game theory ... I recommend it to anyone who wishes to master, or to teach, the mathematics of games."
"A distinctive feature of the book is its coverage of cooperative differential games. In this respect, the book is a welcome alternative or supplement to other existing books."
| 364pp |
Pub. date: Feb 1996 |
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