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20051()I,,,,,AResearchontheRelationshiPbetweenNashEquilibriumandGeneralequilibriumAbstract:Thisperplmathematicsmethodtothe~rchontherelation-shipbetweenNashuilibriumandgeneraluilibriurn.Theresultshowsthatneraluilibriurn15thespeciallutionofNashuilibriurn.Ontheconditionofcompetitioneconomyandfreetradedgcods,Nashequilibriurnlution15thegeneralequilibriumso-lutioninWalraseconomy.Furthermore,Nashuilibrium15generallysuitablesolution,butgeneraluilibrium15theoptirnaloneinthaeconomystem.Keywos:Nashullibriurn;GeneralEilibri;Trade,,,,(1950),,,,WalraS,WalraS,,,JwDebreu(1954),,,,,,,:ArrowDebreu(1954),BrouwerWalras,Debreu(1959)walras,Debreu(Debreu,1952:Glieksbefg,1952;Fan,1952)Debreu(Debreu)N=¹iXR11,,m},:,i=1,,mºi(x,,x)X,,x,,i=1,,m;»i(x)=}xX}x*=(xl,,x,1,x:1,x,)}Xix=(xl,,x,,x,),(Xi,u,,)*NDebreu(Kakutani),u:x,,,Glicksberg,,,,,breu?2080(1950),VonNeumannMorgenstem(1944),n,,in1,,,,,,,Wilson(1971),,2005l,,,,,,,,,,(2000),(),,Walra1.Walra,,,,,,,N=11,,m},:¹iX*R=}xI)O,]1,,m},i=1,,m;ºiu(xl,,x:,,x)x:»,5{(,l,,p,,),p:N,,i=1,,m;x,P*PTw*(w,in¼i,pTx:p*,x,),u,(x,=1,,mi-x,)(u(xl,,x,,x);½walraswalraswalras,z(P):P=0,VP0Walras:();x*x(P),x,(P),,,,;»,1,,,,;¼,,i,WalraSWalraS,z(P):P=o,VP)0,:,ip:,,;pTw,,,,,,2.,WalraS,(l),DebreuDebreu,,Walras,p,(P)p*(P),Debre=12=1,,,:N=}o}UNO0:i=0X,i=0u(,,,x,,P)=PT,*,,ipTx*(,,(,pTw,(,,,,,pTx:(,)-,,Tw,(p)i=0(x)=X0=Sn,,,:(Xi,u,),N,(x)=xo=s,,=(x,P)=}xXzIPTx:pTw},N2,(x,P)XXX(2),,,,o,PT~pT:(x,P)xxX,:T(xw,)pT(xi=1=l:),VX20051t,x)u(x),Vxe(x,P)x*(x,P)pTxp,,wiwi(,)(xw),vpX0P=k10,:k=1,,n,,xwiWalras,,T(*w;)0WalraS,,,,,,,,,WalraSAdamSnlith,,,,,,,,,143[1Jn,KermethJ.andrardLlreu,Ex)ofanuilibriumforacomiti*2,E-conometrica.JLily(1954)265290.[2]L1reu,G,Azuiliiumexistencetrenz,ProcioftheNatiollalAcademyofienee38(1952),886893.3breu,G,1959,1ofVal:AnAioAnalysisof1,nicEqilibrium,Newk,Wiley.4Fan,K.,JPointandn~a~:inrallyn~zcazLin:5,Pro-eelingoftheNatiollalAcadyofienee.,38(1952),121126.5Gilicksberg,1.L.,AFurtherGeneralizanoftheKdkutaniFntT}~thAPPlicationtosuilbriumnts,P11195OftheNationalAcadelnyofienee,38(1952),170174.6]Nash,J.,11riumntsinn-mes,Pr11195oftheNationalAcaclemyof&ienee.36(1950),4849.[7]Wilson,R.,tiuiziriumofnnmes,5IAMJounlalofApplitllenlatics.ZI(1971),8087.8v6nNeurnann,J.andrgellstem,0.,mesandnonzica:,PncetonUniversityPre55.9]:J,2000910:J,20022n:J],()1998612:M,,,19%13:[M,,2003(:)
本文标题:纳什均衡与一般均衡的关系研究
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