TY - BOOK AU - Saul Stahl TI - A gental introduction to game theory T2 - Mathematical World SN - 978-0821813393 AV - QA269 PY - 1999///] CY - Rhode Island PB - American Mathematical Society KW - Mathematics N1 - Chapter 1. Introduction Chapter 2. The formal defintions Chapter 3. Optimal responses to specific strategies Chapter 4. The maximin strategy Chapter 5. The minimax strategy Chapter 6. Solutions of zero-sum games Chapter 7. 2×n and mx×2 games Chapter 8. Dominance Chapter 9. Symmetric games Chapter 10. Poker-like games Chapter 11. Pure maximin and minimax strategies Chapter 12. Pure nonzero-sum games Chapter 13. Mixed strategies for nonzero-sum games Chapter 14. Finding mixed Nash equilibria for 2×2 nonzero-sum games N2 - The mathematical theory of games was first developed as a model for situations of conflict, whether actual or recreational. It gained widespread recognition when it was applied to the theoretical study of economics by von Neumann and Morgenstern in Theory of Games and Economic Behavior in the 1940s. The later bestowal in 1994 of the Nobel Prize in economics on Nash underscores the important role this theory has played in the intellectual life of the twentieth century. This volume is based on courses given by the author at the University of Kansas. The exposition is “gentle” because it requires only some knowledge of coordinate geometry; linear programming is not used. It is “mathematical” because it is more concerned with the mathematical solution of games than with their applications. --- summary provided by publisher ER -