納什理論(nash theory)

納什理論(nash theory)

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時(shí)間:2018-07-15

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1、納什理論(Nashtheory)NashequilibriumtheoryandgametheoryInmodernlife,gametheoryismoreandmorewidelyusedinthefieldsofeconomy,militaryandsoon.Itentersthereallifefromthetempleofmathematics.Gametheoryhasbecomeawiseandrationalpolicymakerwhoknows,studiesandsolvesthesharpweapo

2、nofconflictandcooperationinthemodernmarketeconomy.Itiscalled"Eighteenmilestones"tocommemoratethedevelopmentofhumancivilization".Gametheoryisthedirectinteractionbetweenthedecisionandthedecisionofthemaindecision-makingequilibrium,thatistosay,whenone'schoiceisinflue

3、ncedbytheother'schoices,andinturnaffectthedecisionproblemofothersubjectswhenselectingandequilibriumproblems.Acompletegameshouldincludefiveaspects:first,thegameparticipants,namelythegameintheprocessofindependentdecision-making,theconsequencesofindependentindividua

4、lsandorganizations;second,gameinformation,gamemakershavehelpfulinformationontheselectionstrategy;third,thefullsetofbehaviororstrategygamecanselection;fourth,gameorder,namelythegameparticipantstomakethestrategychoicethepriority;fifth,thegame'sincome,namelythegamem

5、akedecisionsafterthegainsandlosses.Nashequilibriumtheory:anoncooperativegameisplayedbysuchagroupofplayers,eachgameplayerhasasetofstrategiesandbenefitfunctions.Whenthegame'sstrategyisdeterminedbythestrategiesofotherplayers,itmakesthemostofitsbenefits.Nasharguedtha

6、tbargainingbetweenrationalgameplayerseventuallyledtoauniqueoutcome.Bytheaxiomaticmethodandthenoncooperativemodelsolution,Nashprovedtheuniquesolutionproblem.Intheconstantthreat,eachpartymaychoosetoexertmuchpressureontheotherside.Gametheorynowhastodecidewhetherthep

7、layersdisagreewiththethreatoftheproposalanddeterminetheagreementtobereached.Determiningtheaxiomsofthetheoryisequivalenttoassumingthateachplayerhasanoptimalthreatstrategy,thatis,assumethattheproblemhasaconclusion.Thetwoaxiomoftheearthisthatagameplayercannotbenefit

8、byremovingsomeofhistactics.Inthenoncooperativeapproach,Nashassumesthatthegameplayerisfirstloyaltohisownthreat.Eachthreatleadstoa(invariantthreatbargaining)subg

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