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Compleat Strategyst | John Davis Williams

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The Compleat Strategyst

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Автор John Davis Williams
Език Английски
Брой страници 268
Тегло 313

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PREFACE TO THE REVISED EDITIONPREFACE TO THE FIRST EDITIONCHAPTER 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 CampersCHAPTER 2. TWO - STRATEGY GAMES PART 1: 2 X 2 GamesThe ApproachFluctuationsSaddle-pointsMixed StrategiesThe OddmentRules for Finding OddsValue of the GameScale EffectsGood Play vs. PoorExample 2. The Hidden ObjectExample 3. The DaiquirisExample 4. The River TableExample 5. The Attack-Defense GameExample 6. The Music Hall ProblemExample 7. The DarkroomExample 8. The BirthdayExample 9. The HucksterExample 10. The Squad CarSummary of 2 X 2 MethodsExercises 1 PART 2: 2 X m GamesSaddle-pointsDominanceMixed StrategiesGraphical SolutionsExample 11. The SpellersExample 12. The Sports KitExample 13. The Hi-FiChance DevicesSummary of 2 X m MethodsExercises 2CHAPTER 3. THREE - STRATEGY GAMES PART 1: 3 X 3 GamesMorale-building DiscourseSaddle-pointsDominanceValue of the GameThree Active StrategiesGames We Wish You'd Never MetExample 14. Scissors-Paper-StoneExample 15. The Coal ProblemExample 16. The HeirExample 17. The Cattle Breeders' SeparationExample 18. The DateSummary of 3 X 3 MethodsExercises 3 PART 2: 3 X m GamesMethod of SolvingExample 19. The Bass and the ProfessorExample 20. The Bedside MannerExample 21. The ChessersSummary of 3 X m MethodsExercises 4CHAPTER 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 5CHAPTER 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 ConclusionCHAPTER 6. GENERAL METHOD OF SOLVING GAMES First Example Basic Solutions Second Example Summary of Pivot Method How to Check the Work Control SumsAPPENDIX Table of Random Digits Solutions to ExercisesINDEX
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