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1、UnitOneMathematicsTextAGameTheoryBackgroundInformationTextOrganizationLanguageStudyFurtherReadingandPracticeInterests7/22/20213UnitOneMathematicsBackgroundInformation7/22/20214UnitOneMathematicsAvinashDixitandBarryNalebuff7/22/20215UnitOneMathematicsAvinashDixitandBarryNalebuffAvinashDixitistheJo
2、hnJ.SherredProfessorofEconomicsatPrincetonUniversity.BarryNalebuffisMiltonSteinbachProfessorofManagementatYaleUniversity,SchoolofOrganizationandManagement.7/22/20216UnitOneMathematicsGameTheoryGametheoryisthemathematicalanalysisofanysituationinvolvingaconflictofinterest,withtheintentofindicatingt
3、heoptimalchoicesthat,undergivenconditions,willleadtoadesiredoutcome.Althoughgametheoryhasrootsinthestudyofsuchwell-knownamusementsascheckers,tick-tack-toe,andpoker—hencethename—italsoinvolvesmuchmoreseriousconflictsofinterestarisinginsuchfieldsassociology,economics,andpolitical&militaryscience.7/
4、22/20217UnitOneMathematics博弈论博弈论有时也称为对策论是应用数学的一个分支,是研究具有斗争或竞争性质现象的数学理论和方法,也是运筹学的一个重要学科。目前在社会学,生物学,经济学,国际关系,计算机科学,政治学,军事战略和其他很多学科都有广泛的应用。7/22/20218UnitOneMathematicsPrincetonPrincetonisacityinGreenLakeCounty,NJ,UnitedStates.7/22/20219UnitOneMathematicsPrinceton7/22/202110UnitOneMathematicsPrinceto
5、nUniversity7/22/202111UnitOneMathematicsPrincetonUniversity7/22/202112UnitOneMathematicsPrincetonUniversityPrincetonUniversityisacoeducationalprivateuniversitylocatedinPrinceton,NewJersey.Itisthefourth-oldestinstitutionofhighereducationintheU.S.andisoneoftheeightIvyLeagueuniversities.Princetonhas
6、traditionallyfocusedonundergraduateeducationandacademicresearch,itnowoffersalargenumberoftop-ratedprofessionalMaster'sdegreesandPhDprogramsinarangeofsubjects.7/22/202113UnitOneMathematicsJohnvonNeumann7/22/202114UnitOneMathematicsJohnvonNeumannHewasaHungarian-bornAmericanmathematicianandwhomadeco
7、ntributionstoquantumphysics,functionalanalysis,settheory,economics,computerscience,topology,numericalanalysis,hydrodynamics(ofexplosions),statisticsandmanyothermathematicalfieldsasoneofworldhistory’soutstandingmathemat