Compleat Strategyst

PREFACE TO THE REVISED EDITION PREFACE TO THE FIRST EDITION CHAPTER 1. INTRODUCTION Nature of the Subject An Historical Theory Lessons and Parallels Sectarian Remarks on Method Players and Persons The Payoff Strategies The Game Matrix Implicit Assumptions The Criterion Example 1. The Campers CHAPTER 2. TWO - STRATEGY GAMES PART 1: 2 X 2 Games The Approach Fluctuations Saddle-points Mixed Strategies The Oddment Rules for Finding Odds Value of the Game Scale Effects Good Play vs. Poor Example 2. The Hidden Object Example 3. The Daiquiris Example 4. The River Table Example 5. The Attack-Defense Game Example 6. The Music Hall Problem Example 7. The Darkroom Example 8. The Birthday Example 9. The Huckster Example 10. The Squad Car Summary of 2 X 2 Methods Exercises 1 PART 2: 2 X m Games Saddle-points Dominance Mixed Strategies Graphical Solutions Example 11. The Spellers Example 12. The Sports Kit Example 13. The Hi-Fi Chance Devices Summary of 2 X m Methods Exercises 2 CHAPTER 3. THREE - STRATEGY GAMES PART 1: 3 X 3 Games Morale-building Discourse Saddle-points Dominance Value of the Game Three Active Strategies Games We Wish You'd Never Met Example 14. Scissors-Paper-Stone Example 15. The Coal Problem Example 16. The Heir Example 17. The Cattle Breeders' Separation Example 18. The Date Summary of 3 X 3 Methods Exercises 3 PART 2: 3 X m Games Method of Solving Example 19. The Bass and the Professor Example 20. The Bedside Manner Example 21. The Chessers Summary of 3 X m Methods Exercises 4 CHAPTER 4. FOUR - STRATEGY GAMES AND LARGER ONES Solution via Revelation Saddle-points Dominance All-strategies-active Example 22. The Secondhand Car Example 23. The Silviculturists Example 24. Color Poker Example 25. For Older Children Example 26. The Process Server Example 27. The Palm Game Example 28. The Administrator's Dilemma Example 29. The Colonel Blotto Problem Example 30. Morra Example 31. The Maze Example 32. Merlin Summary of 4 X m Methods Exercises 5 CHAPTER 5. MISCELLANY Approximations More on Dominance Simple Solutions Multiple Solutions Exercise 6 On Measurement Qualitative Payoffs Example 33. Portia Example 34. The Lady or the Tiger Games Played Only Once Symmetric Games Linear Programming Example 35. The Diet Non-zero-sum Games Conclusion CHAPTER 6. GENERAL METHOD OF SOLVING GAMES First Example Basic Solutions Second Example Summary of Pivot Method How to Check the Work Control Sums APPENDIX Table of Random Digits Solutions to Exercises INDEX