Game Theory and Strategy

Part I. Two-Person Zero-Sum Games: 1. The nature of games; 2. Matrix games: dominance and saddle points; 3. Matrix games: mixed strategies; 4. Application to anthropology: Jamaican fishing; 5. Application to warfare: guerillas, police, and missiles; 6. Application to philosophy: Newcomb's problem and free will; 7. Game trees; 8. Application to business: competitive decision making; 9. Utility theory; 10. Games against nature; Part II. Two-Person Non-Zero-Sum Games: 11. Nash equilibria and non-cooperative solutions; 12. The prisoner's dilemma; 13. Application to social psychology: trust, suspicion, and the F-Scale; 14. Strategic moves; 15. Application to biology: evolutionarily stable strategies; 16. The Nash arbitration scheme and cooperative solutions; 17. Application to business: management-labor arbitration; 18. Application to economics: the duopoly problem; Part III. N-Person Games: 19. An introduction to N-Person games; 20. Applications to politics: strategic voting; 21. N-Person prisoner's dilemma; 22. Application to athletics: prisoner's dilemma and the football draft; 23. Imputations, domination, and stable set; 24. Application to anthropology: pathan organization; 25. The core; 26. The shapley value; 27. Application to politics: the Shapley-Shubik power index; 28. Application to politics: the Banzhaf index and the Canadian constitution; 29. Bargaining sets; 30. Application to politics: parliamentary coalitions; 31. The nucleolus and the Gately point; 32. Application to economics: cost allocations in India; 33. The value of game theory.