In this sequel to Two-Person Game Theory, the author introduces the necessary mathematical notation (mainly set theory), presents basic concepts, discusses a variety of models, and provides applications to social situations.
Introduction: Some Mathematical Tools
Part I. Basic Concepts
1. Levels of Game-theoretic Analysis
2. Three-level Analysis of Elementary Games
3. Individual and Group Rationality
4. The Von Neumann-Morgenstern Solution
5. The Shapely Value
6. The Bargaining Set
7. The Kernel
8. Restrictions on Realignments
9. Games in Partition Function Form
10. N-Person Theory and Two-Person Theory Compared
11. Harsanyi's Bargaining Model
Part II. Applications
Introduction to Part II
12. A Small Market
13. Large Markets
14. Simple Games and Legislatures
15. Symmetric and Quota Games
16. Coalitions and Power
17. Experimetns Suggested by N-Person Game Theory
18. "So Long Sucker" : A Do-it-yourself Experiment"
19. The Behavorial Scientist's View
20. Concluding Remarks
Notes
References
Index
Russian-born Anatol Rapoport (1911-2007) was an American mathematician and psychologist who contributed to general systems theory, mathematical biology, and the mathematical modeling of social interaction and stochastic models of contagion. He combined his mathematical expertise with psychological insights into the study of game theory, social networks, and semantics.