훐맺얩튵듳톧톧놨ꆡ2005,10(1):69-71JournalofChinaAgriculturalUniversity웳튵ퟝ쿲솪쏋뗄늩?럖컶쟇훒1ꆡ탬럯쟙1,2ꆡ헔뚬쎷1(11훐맺얩튵듳톧뺭볃맜샭톧풺,놱뺩100083;21놱뺩쇖튵듳톧믹뒡뿆톧폫벼쫵톧풺,놱뺩100083)햪ꆡ튪ꆡ캪쇋럖컶퇐뺿쒳킩짏쿂폎웳튵붨솢ퟝ쿲솪쏋뫳춶죫돉놾뫍닺욷돉놾뇤뮯뛔웳튵샻죳뗄펰쿬,펦폃늩?샭싛붨솢쇋ퟝ쿲솪쏋웳튵벰럇솪쏋웳튵횮볤뗄2뷗뛎뚯첬늩?쒣탍ꆣ럖컶뷡맻뇭쏷:싊쿈ퟩ붨ퟝ쿲솪쏋뗄짙쫽웳튵뗄샻죳쏷쿔쳡룟,뛔쫐뎡훐웤쯻웳튵ퟩ붨솪쏋뻟폐벤샸ퟷ폃;쯦ퟅ웳튵솪쏋쫽솿뗄퓶뛠,ퟩ붨솪쏋뗄웳튵뗄춶죫돉놾복짙,샻죳퓶듳ꆣ솪쏋뗄붨솢쳡룟쇋웳튵쫐뎡뺺헹솦ꆣ맘볼듊ꆡ웳튵;ퟝ쿲솪쏋;늩?훐춼럖샠뫅ꆡF27614ꆡꆡꆡꆡ컄헂뇠뫅ꆡ100724333(2005)0120069203ꆡꆡꆡꆡ컄쿗뇪쪶싫ꆡAGameanalysesonverticalenterpriseallianceQiaoZhong,XuFengqin,ZhaoDongmei(11CollegeofEconomicandManagement,ChinaAgriculturalUniversity,Beijing100083,China21CollegeofScienceandTechnology,BeijingForestUniversity,Beijing100083,China)AbstractꆡInordertoanalyzetheinfluenceofinvestmentandproductcostuponenterpriseprofitsafterestablishingver2ticalenterprisealliance,,,ꆡenterprise;verticalalliance;gameꆡꆡ웳튵횮볤쳡릩훐볤닺욷탎돉릩쟳맘쾵쫇짧믡럖릤뗄뇘좻닺컯,쫇튵뮯짺닺뗄탨튪ꆣ퓚쿖듺짧믡1ꆡ쒣탍쏨쫶훐,뛀솢췪돉닺욷짺닺훐좫늿뮷뷚뗄웳튵벸뫵쫇늻짨쫐뎡훐폐n볒짺닺춬샠닺욷뗄웳튵,웤훐y듦퓚뗄,틲듋웳튵볤훐볤닺욷뗄릩쟳맘쾵웕뇩듦퓚ꆣ볒웳튵폫짏폎웳튵붨솢쇋솪쏋,늢쿲짏폎웳튵춶죫짏폎웳튵캪쇋캬돖짺닺뛠훖폃탔훐볤닺욷뗄죡탔늿럖풴,틔쳡룟훐볤닺욷훊솿,붵뗍짺닺돉놾,ퟮ짺닺쓜솦,폫뛠볒쿂폎웳튵붨솢킭ퟷ맘쾵ퟩ돉웳튵훕쪹웳튵믱좡룼뛠샻죳ꆣ퓚췪좫뺺헹쫐뎡훐,춬샠솪쏋ꆣ탭뛠톧헟펦폃늩?싛퇐뺿쇋헢샠ퟝ쿲웳튵솪닺욷뗄훊솿늻춬쪱,닺욷볛룱듦퓚닮틬ꆣ튻냣살쮵,쏋컊쳢[1,2]ꆣ헢킩퇐뺿뚼럖컶쇋솪쏋쓚늿웳튵횮볤훊솿뫃뗄닺욷볛룱폫돉놾횮닮듳폚훊솿닮뗄닺욷볛뗄맘쾵ꆣ퓚쫐뎡뺺헹훐,헢훖ퟝ쿲솪쏋웳튵폫죔좻룱폫돉놾횮닮ꆣ볙짨ퟮ훕닺욷뗄볛룱쫇튻훂뗄,듓쫐뎡릺싲뇪ힼ훐볤닺욷뗄웳튵횮볤뗄쿠뮥맘쾵폃탔춶죫붵뗍쇋짺닺돉놾,듓뛸쳡룟쇋웳튵샻죳ꆣ,솪쏋웳튵탂퓶춶죫폫헻룶쫐뎡훐솪쏋웳튵쫽솿뗈뛔짨ퟩ붨솪쏋뗄웳튵쿲짏폎웳튵뗄춶죫돉놾캪헢훖쿠뮥맘쾵,틔벰웳튵샻죳뗄펰쿬,짐좱랦짮죫퇐T(x)i,헢킩춶죫쪹웳튵ퟮ훕닺욷뗄돉놾쿂붵럹뛈뺿ꆣ뇊헟붨솢쇋n볒웳튵쫐뎡뺺헹뗄늩?쒣탍,뛔캪xi,Tꇤ>0,Tꇥ>02,쟒T(x)i=xiꆣퟮ훕닺욷돉짏쫶컊쳢뷸탐럖컶ꆣ놾캪ci=0ci-xi,웤훐0ci캪풭돉놾,쟒0ci>0;듋췢쫕룥죕웚:2004209213믹뷰쿮쒿:맺볒뿆벼릫맘볆뮮훘듳쿮쒿(2003BA808A14)ퟷ헟볲뷩:쟇훒,뷌쫚,늩쪿짺떼쪦,훷튪듓쫂맜샭쾵춳뗄폅뮯ꆢ뿘훆폫럂헦,돇헲맦뮮폫탅쾢뮯맜샭뗄퇐뺿,E2mail:qiaozhongdr@' 1995-2005 Tsinghua Tongfang Optical Disc Co., Ltd. All rights reserved.
ꆡ70훐맺얩튵듳톧톧놨2005쓪뗚10뻭쫐뎡훐폐(n-y)볒웳튵죔좻듓쫐뎡훐릺싲훐볤닺튵쳡룟닺솿폐샻ꆣ웳튵ퟩ붨솪쏋뿉듯떽짏쫶쒿뗄ꆣ욷,웤닺욷돉놾늻뇤ꆣ쯹폐웳튵쏦뛔뗄쫐뎡탨쟳몯쫽좡쿟탔탎쪽Q=3ꆡퟮ병춶죫a-p(a캪뎣쫽,Q캪쫐뎡탨쟳솿,p캪닺욷뗄쫐뎡볛룱),틲뛸랴탨쟳몯쫽캪퓚늩?뗄뗚1뷗뛎,솪쏋웳튵룹뻝ퟔ벺쫕틦ퟮ듳뮯풭퓲톡퓱ퟔ벺뗄ퟮ병춶죫쮮욽,룷웳튵내헕뻹p(Q)=a-ꇆnq(iqi캪웳튵i뗄닺욷닺솿[3,4]),i=1뫢닺솿짺닺,웤샻죳캪틔ꛐi뇭쪾웳튵뗄샻죳,퓲솪쏋웳튵폫럇솪쏋웳튵샻002죳럖뇰캪ꛐa-nci+ꇆnck+nxi-ꇆyxk2kꇙi,k=1kꇙi,k=1i=-xin+1ꛐi=2q(ia-ꇆn0qk-ci+x)i-xiꆡi=1,2,ꆭ,yꆡꆡi=1,2,ꆭ,yk=10ꛐꛐa-ncj+ꇆn02ck-ꇆyxkkꇙj,j=k=1k=1j=0q(ja-ꇆnqk-c)jꆡj=y+1,y+2,ꆭ,nk=1n+1캪탰쫶랽뇣,볙짨웳튵1,2,ꆭ,y캪솪쏋웳튵,웳튵ꆡꆡj=y+1,y+2,ꆭ,ny+1,y+2,ꆭ,n캪럇솪쏋웳튵[5-7]ꆣퟮ병춶죫뗄튻뷗쳵볾캪웳튵횮볤뗄늩?럖캪2룶뷗뛎:뗚1뷗뛎,ퟶ돶20n(a-nci+ꇆn0ck+nxi-5ꛐꇆyxk)솪쏋뻶닟뗄웳튵톡퓱ퟔ벺뗄춶죫쮮욽,쪹ퟔ벺뗄샻ikꇙi,k=1kꇙi,k=1=틦듯떽ퟮ폅5xi(n+12-);뗚2뷗뛎,솪쏋웳튵폫럇솪쏋웳튵퓚릲춬뗄쫐뎡짏돶쫛닺욷2xi=0ꆡꆡi=1,2,ꆭ,y,내Cournot늩?햹뾪뺺헹ꆣ평듋뗃폃쓦췆맩쓉램쟳뷢솽뷗뛎뗄뚯첬늩?컊쳢,쿈쟳뷢202뗚na-nyci+(n+n)ꇆy0ck+nkꇙꇆn0c2뷗뛎뗄뻹뫢,퓙췆훁뗚1뷗뛎뷸탐쟳뷢[8]ꆣki,k=1k=y+1xi=n+1+ny2ꆡ뻹뫢닺솿i=1,2,ꆭ,y뗚퓲ퟮ병춶죫캪2뷗뛎뗄Cuornot늩?쫇퓚뗚1뷗뛎y볒웳튵ퟶ돶솪쏋뻶닟늢톡퓱춶죫쮮욽붵뗍돉놾뫳뷸탐T(x)i=2xiꆡi=1,2,ꆭ,y뗄캪뇣폚럖컶뇈뷏,볙짨룷웳튵풭닺욷돉놾쿠춬,벴,돉놾벰춶죫쮮욽쫇룸뚨뗄,퓲n볒웳튵뷸탐0ci=c,i=1,2,ꆭ,y,퓲ퟮ병춶죫캪Cournot2Nash뺺헹,룷웳튵톡퓱닺솿뗄튻뷗쳵볾캪2n(a-c)5ꛐT(x)i=ꆡi=1,2,ꆭ,y(2)i=0a-qqn+1+ny5qi-ꇆk-ci+xi-qi=0ikꇙi쪽(2)뇭쏷:웳튵ퟩ붨솪쏋뗄ퟮ병춶죫폫헻룶쫐뎡훐ꆡꆡꆡi=1,2,ꆭ,yퟩ붨솪쏋뗄웳튵쫽솿돉랴뇈,벴헻룶쫐뎡훐ퟩ붨솪5ꛐj=쏋뗄웳튵풽뛠,룷솪쏋웳튵뛔짏폎웳튵뗄춶죫풽짙ꆣa-q5qj-ꇆq0k-cj-qj=0jkꇙj헢쫇틲캪,짏폎웳튵폫쿂폎웳튵ퟩ붨솪쏋쪱,췹췹탨ꆡꆡꆡj=y+1,y+2,ꆭ,n튪춶죫풴붨솢짏쿂폎웳튵볤뗄릩믵쟾뗀,벰쿠펦웤뻹뫢닺솿캪뗄붻틗욽첨,뛸뫳ퟩ붨솪쏋뗄웳튵뿉틔뷨본틑폐뺭퇩,샻폃틑폐뗄붻틗쾵춳,헢퇹뻍복짙쇋춶죫돉놾ꆣna-ꇆn0ci+ꇆyxii=1i=1qi=0a-ci+xi-n+14ꆡ춶죫ꆢ샻죳벰솪쏋웳튵쫽죽헟뗄맘쾵ꆡꆡi=1,2,ꆭ,y퓚룷룶웳튵풭닺욷돉놾쿠춬,벴0ci=c,i=1,n(1)0na-ꇆci+ꇆyx2,ꆭ,y뗄쟩뿶쿂,룷웳튵내뻹뫢닺솿짺닺,샻죳캪ii=1i=1qj=0a-cj-2n+1ꆡꆡꛐa-c+nxi-ꇆyxk2kꇙi,k=1i=-xiꆡi=1,2,ꆭ,yj=y+1,y+2,ꆭ,nn+1평쪽(1)뿉볻:웳튵닺욷닺솿쯦놾웳튵짺닺돉놾뗄짏2짽뛸쿂붵,쯦웤쯻웳튵짺닺돉놾뗄짏짽뛸짏짽,틲뛸ꛐa-c-ꇆyxkk=1j=ꆡj=y+1,y+2,ꆭ,n붵뗍놾웳튵돉놾믲쪹웤쯻웳튵뗄돉놾짏짽뚼뛔놾웳n+1' 1995-2005 Tsinghua Tongfang Optical Disc Co., Ltd. All rights reserved.
ꆡꆡ뗚1웚쟇훒뗈:웳튵ퟝ쿲솪쏋뗄늩?럖컶71쿂쏦틔3볒짺닺춬샠닺욷뗄쿂폎웳튵캪샽,뷸튻늽듋쪱3볒웳튵뗄샻죳ꛐ31,3,ꛐ32,3,ꛐ33,3럖뇰캪럖컶웳튵춶죫ꆢ샻죳벰솪쏋웳튵쫽죽헟횮볤뗄맘쾵ꆣ1)3볒웳튵뚼쎻폐ퟩ붨솪쏋쪱,웤춶죫뻹캪ꛐ372(a-c)1,3=ꛐ32,3=0,100내(6)Cournot늩?햹뾪뺺헹,퓚뻹뫢닺솿쿂,웳튵1,2,ꛐ23(a-c)3,3=3뗄샻죳ꛐ1001,1,ꛐ2,1,ꛐ3,1캪ꛐ2뇈뷏쪽(3),(5)뫍(6)뗃ꛐ31,2>ꛐ31,3>ꛐ1,1,ꛐ32,3>(a-c)i,1=ꆡi=1,2,3(3)16ꛐ2,1>ꛐ32,2,ꛐ3,1>ꛐ33,2>ꛐ33,3ꆣ평듋뿉볻:쫐뎡훐솪2)웳튵1폫쒳짏폎웳튵ퟩ붨솪쏋,늢쿲짏폎웳쏋웳튵쫽솿뗄룄뇤붫펰쿬룷룶웳튵뗄샻죳ꆣ쯦ퟅ솪튵춶죫돉놾T(x)=2x,웤훐x캪웳튵닺욷돉놾쿂쏋웳튵쫽솿뗄퓶볓,솪쏋웳튵횮볤뗄뺺헹볓잿,ퟩ붨붵뗄럹뛈;웳튵2뫍3횱뷓듓쫐뎡훐릺싲훐볤닺욷,솪쏋뗄웳튵뗄샻죳싔폐쿂붵,떫죔좻룟폚늻ퟩ붨솪늻뷸탐솪쏋춶죫ꆣ듋쪱3볒웳튵내Cournot늩?햹쏋쪱뗄샻죳,튲뻍쫇쮵,죧맻웳튵늻ퟩ붨솪쏋,웤샻뾪뺺헹,퓚뻹뫢닺솿쿂,3볒웳튵뗄샻죳ꛐ1,2,ꛐ2,2,죳룼뗍ꆣ쫐뎡훐솪쏋쿖쿳뗄돶쿖,듌벤웤쯻웳튵럗ꛐ3,2럖뇰캪럗ퟩ붨솪쏋,벤웰솪쏋뗄탲맡탐뚯ꆣꛐ2(a-c)+6x(a-c)-72x1,2=165ꆡ뷡쫸폯(4)ꛐ2-c-x)2,2=ꛐ(a놾퇐뺿펦폃늩?쒣탍,럖컶쇋솪쏋웳튵퓚쫐뎡3,2=16럖컶쪽뺺헹훐뗄폅쫆,볆쯣돶솪쏋웳튵짺닺닺욷뗄ퟮ병춶(4)뿉횪,웳튵1뗄샻죳쯦ퟅ춶죫돉놾뗄퓶볓쿈짏짽뫳쿂붵ꆣ뇈뷏쪽죫,뷡맻뇭쏷ퟝ쿲솪쏋뛔쫐뎡훐웤쯻웳튵ퟩ붨솪쏋(3)폫(4)뗃:웳튵1뗄춶죫뻟폐벤샸ퟷ폃ꆣ쯹붨솢뗄쒣탍쎻폐뾼싇ퟝ쿲솪쏋뛔2돉놾36(a-c)Tꇊ0,쪱,ꛐ훐볤닺욷뫍ퟮ훕닺욷볛룱뗄펰쿬,뇊헟붫뾼싇닺욷491,2>ꛐ1,1,벴웳튵1ퟩ붨솪쏋뫳뗄샻죳룟폚솪쏋잰뗄샻죳,웳튵1폐ퟩ볛룱틲쯘붨솢늩?쒣탍,뷸튻늽퇐뺿솪쏋폫럇솪쏋붨솪쏋뗄믽벫탔;떱ퟩ붨솪쏋탨튪뗄춶죫Tꇝ웳튵볤뗄뺺헹맘쾵ꆣ듋췢,펦폃늩?쒣탍,럖컶벼쫵362(a뫏ퟷ탍웳튵솪쏋폫뛀솢퇐랢탂벼쫵웳튵횮볤뗄맘-c)쪱,ꛐ491,2<ꛐ1,1,웳튵1톡퓱늻ퟩ붨솪쏋ꆣ쾵,튲쫇뷱뫳퇐뺿뗄랽쿲ꆣ듋췢웳튵1캪믱뗃ퟮ듳샻죳,춶죫T1=92(a-c),3볒웳튵뗄샻죳ꛐ3491,2,ꛐ3닎뾼컄쿗2,2,ꛐ33,2럖뇰캪\[1\]ꆡ샮쫀탂,쇵량,쇵뻼,뗈.릩펦솴웳튵뫏ퟷ컊쳢뗄늩?퇐ꛐ23(a-c)1뺿\[J\]믺.킵릤돌톧놨,2003,39(2):123-128,2=7(5)\[2\]ꆡ췵럦,틗캰,싞퓆럥.튻샠릩펦솴릩탨뫏ퟷ뗄늩?럖컶ꛐ23(a-c)2\[J\]커.몺샭릤듳톧톧놨,2003,25(3):87-90,2=ꛐ33,2=49쪽\[3\]ꆡ킻쪶폨.뺭볃늩?싛\[M\].짏몣:뢴떩듳톧돶냦짧,(3)폫(5)뇈뷏뗃ꛐ31,2>ꛐ1,1,ꛐ32,2<ꛐ2,1,ꛐ33,2<ꛐ3,1,벴웳튵1ퟩ붨솪쏋뫳,웤샻죳퓶볓,뛸웳튵2002:56-3862\[4\]ꆡ닜헰.볛룱햽뗄늩?럖컶\[J\].벼쫵뺭볃폫맜샭퇐뺿,뫍3뗄샻죳뚼쿂붵,헢붫듌벤웳튵2뫍3튲ퟩ붨2001,(4):43솪쏋ꆣ\[5\]ꆡ헅춮,헅쫀펢,뫺쯘뮪.웳튵벯췅뗄춶낲업\[J\].맜3)웳튵1폫웳튵2럖뇰폫짏폎웳튵ퟩ붨솪쏋,샭뿆톧톧놨,2001,4(6):6-12늢쿲짏폎웳튵춶죫돉놾T(x)i=2xi,(i=1,2)\[6\]ꆡHartO,,웤훐firm\[J\].JournalofPoliticalEconomy,1990,98:1119-xi캪웳튵닺욷돉놾쿂붵뗄럹뛈;웳튵3늻ퟩ붨솪쏋,횱뷓듓쫐뎡훐릺싲훐볤닺욷ꆣ듋쪱3볒웳튵내1158\[7\]ꆡ쇖풪쟬.맑햼웳튵뫏ퟷ탍뺺헹뗄늩?컊쳢\[J\]뢣.훝듳Cournot늩?햹뾪뺺헹ꆣ퓚뻹뫢닺솿쿂,쟳뗃ퟮ폅샻죳뫳,룹뻝샻틦ퟮ듳뮯풭퓲웳튵1뫍2ퟮ폅춶죫쿠톧톧놨(헜톧짧믡뿆톧냦),2001,14(4):20-21춬\[8\]ꆡ헅캬펭.늩?싛폫탅쾢뺭볃톧\[M\].짏몣:짏몣죋쏱,폃T2뇭쪾캪돶냦짧,2001:43-38092(a-c)T2=100' 1995-2005 Tsinghua Tongfang Optical Disc Co., Ltd. All rights reserved.
