non-cooperative games

non-cooperative games

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1、Non-CooperativeGamesJohnNashTheAnnalsofMathematics,2ndSer.,Vol.54,No.2.(Sep.,1951),pp.286-295.StableURL:http://links.jstor.org/sici?sici=0003-486X%28195109%292%3A54%3A2%3C286%3ANG%3E2.0.CO%3B2-GTheAnnalsofMathematicsiscurrentlypublishedbyAnnalsofMathematics.Youruseofth

2、eJSTORarchiveindicatesyouracceptanceofJSTOR'sTermsandConditionsofUse,availableathttp://www.jstor.org/about/terms.html.JSTOR'sTermsandConditionsofUseprovides,inpart,thatunlessyouhaveobtainedpriorpermission,youmaynotdownloadanentireissueofajournalormultiplecopiesofarticl

3、es,andyoumayusecontentintheJSTORarchiveonlyforyourpersonal,non-commercialuse.Pleasecontactthepublisherregardinganyfurtheruseofthiswork.Publishercontactinformationmaybeobtainedathttp://www.jstor.org/journals/annals.html.EachcopyofanypartofaJSTORtransmissionmustcontainth

4、esamecopyrightnoticethatappearsonthescreenorprintedpageofsuchtransmission.TheJSTORArchiveisatrusteddigitalrepositoryprovidingforlong-termpreservationandaccesstoleadingacademicjournalsandscholarlyliteraturefromaroundtheworld.TheArchiveissupportedbylibraries,scholarlysoc

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6、OFMATHEMATICSVol.54,No.2,September,1951NON-COOPERATIVEGAMESJOHNNASH(ReceivedOctober11,1950)IntroductionVonNeumannandMorgensternhavedevelopedaveryfruitfultheoryoftwo-personzero-sumgamesintheirbookTheoryofGamesandEconomicBe-havior.Thisbookalsocontainsatheoryofn-persongam

7、esofatypewhichwewouldcallcooperative.Thistheoryisbasedonananalysisoftheinterrela-tionshipsofthevariouscoalitionswhichcanbeformedbytheplayersofthegame.Ourtheory,incontradistinction,isbasedontheabsenceofcoalitionsinthatitisassumedthateachparticipantactsindependently,with

8、outcollaborationorcommunicationwithanyoftheothers.Thenotionofanequilibriumpointisthebasicingredientinourtheory.Thisno

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