Compleat Strategyst

Being a Primer on the Theory of Games Strategy

Häftad, Engelska, 2003

Av John Davis Williams, J. D. Williams, Williams

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This entertaining text is essential for anyone interested in game theory. Only a basic understanding of arithmetic is needed to grasp the necessary aspects of strategy games for two, three, four, and more players that feature two or more sets of inimical interests and a limitless array of zero-sum payoffs.

Produktinformation

Utgivningsdatum2003-03-28
Mått138 x 216 x 15 mm
Vikt340 g
FormatHäftad
SpråkEngelska
SerieDover Books on Mathema 1.4tics
Antal sidor268
FörlagDover Publications Inc.
ISBN9780486251011

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PREFACE TO THE REVISED EDITIONPREFACE TO THE FIRST EDITIONCHAPTER 1. INTRODUCTIONNature of the SubjectAn Historical TheoryLessons and ParallelsSectarian Remarks on MethodPlayers and PersonsThe PayoffStrategiesThe Game MatrixImplicit AssumptionsThe CriterionExample 1. The CampersCHAPTER 2. TWO - STRATEGY GAMESPART 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 1PART 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 GAMESPART 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 3PART 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 ONESSolution via RevelationSaddle-pointsDominanceAll-strategies-activeExample 22. The Secondhand CarExample 23. The SilviculturistsExample 24. Color PokerExample 25. For Older ChildrenExample 26. The Process ServerExample 27. The Palm GameExample 28. The Administrator's DilemmaExample 29. The Colonel Blotto ProblemExample 30. MorraExample 31. The MazeExample 32. MerlinSummary of 4 X m MethodsExercises 5CHAPTER 5. MISCELLANYApproximationsMore on DominanceSimple SolutionsMultiple SolutionsExercise 6On MeasurementQualitative PayoffsExample 33. PortiaExample 34. The Lady or the TigerGames Played Only OnceSymmetric GamesLinear ProgrammingExample 35. The DietNon-zero-sum GamesConclusionCHAPTER 6. GENERAL METHOD OF SOLVING GAMESFirst ExampleBasic SolutionsSecond ExampleSummary of Pivot MethodHow to Check the WorkControl SumsAPPENDIXTable of Random DigitsSolutions to ExercisesINDEX