Game Theory and Its Applications

DescriptionThis book integrates the fundamentals, methodology, and major application fields of noncooperative and cooperative games including conflict resolution. The topics addressed in the book are discrete and continuous games including games represented by finite trees; matrix and bimatrix games as well as oligopolies; cooperative solution concepts; games under uncertainty; dynamic games and conflict resolution. The methodology is illustrated by carefully chosen examples, applications and case studies which are selected from economics, social sciences, engineering, the military and homeland security. This book is highly recommended to readers who are interested in the in-depth and up-to-date integration of the theory and ever-expanding application areas of game theory.Key FeaturesPresents serious theoretical development in an easy-to-follow styleProvides computer methodology to solve a broad class of problemsIncludes a wide range of applications in many different areasTable of Contents1 IntroductionPart I Noncooperative GamesDiscrete Static GamesContinuous Static GamesRelation to Other Mathematical ProblemsExistence of EquilibriaComputation of EquilibriaSpecial Matrix GamesUniqueness of EquilibriaRepeated and Dynamic GamesGames under UncertaintyPart II Cooperative GamesSolutions based on Characteristic FunctionsConflict ResolutionMulti objective OptimizationSocial ChoiceCase Studies and ApplicationsAppendicesA Vector and Matrix NormsB Convexity, ConcavityC Optimum ConditionsD Fixed Point TheoremsE Monotonic MappingsF Duality in Linear ProgrammingG Multi objective OptimizationH Stability and ControllabilityReferences