虚拟企业收益分配问题博弈研究

第11卷第1期运筹与管理Vol.11,No.12002年2月OPERATIONSRESEARCHANDMANAGEMENTSCIENCEFeb.,2002:2001-11-01:国家自然科学基金重大资助项目(599904770-4);陕西省自然科学基金资助项目(2001G02):陈菊红(1964-),女,陕西人,博士,西安理工大学副教授陈菊红1,汪应洛2,孙林岩2(1,710048;2,710049):,,,,,:;;:F27921:A:1007-3221(2002)01-0011-06ResearchontheProfitDistributionGamingofVirtualEnterpriseCHENJu-hong,WANGYing-luo,SUNLin-yan(1.SchoolofManagement,XianUniversityofTechnology,Xian710048,China;2.SchoolofManagement,XianJiaotongUniversity,Xian710049,China)Abstract:TheprofitdistributioninVirtualEnterprises(VEs)isbothsensitiveandcentral.For-mulatingareasonableprofitdistributionschemeisimportantforthesuccessofVEs.Thefactorstakenintoaccountinmakingprofitdistributionschemearediscussedinthispaper.ThegamingmodeofprofitdistributioninVEsissetupandanalyzed,andtheconclusionscanbeusedinguid-ingthemakingofprofitdistributionschemeofVEs.Atlast,theneedofdesigningandapplyingcooperationmechanismforVEsisdemonstratedandsuggested.Keywords:virtualenterprise;profitdistribution;gaming0,,:(1):()(2):()(,),,(3):,,,,,,1,,:,,,,,,,,,2(),(),,,,(),;,,,(),,:,?,?21,AB(A,12运筹与管理2002年第11卷B),,B(),;A(),,:,,,,;,,a,b;,A,B();,AB;CAX,CBXCA(a),CB(b)A,B,,,,CAX,CBX0R(a,b),A,Bs1-s,0s1;AT+(1-s)RB(TAB);G,P,QABG=R(a,b)-(CAX+CA(a))-(CBX+CB(b))P=sR(a,b)-(CAX+CA(a))-TQ=T+(1-s)R(a,b)-(CBX+CB(b))(0),,,,:CA(a)=CA0+0.5(a)2CB(b)=CB0+0.5(b)2R(a,b)=0.5(a+b)2+(a+b)+R0CA0,CB0,R0;,G,2Ga20,2Gb20,,05,051,(0),G=0.5(a+b)2+(a+b)+R0-(CAX+CA0+0.5(a)2)-(CBX+CB0+0.5(b)2)(1)P=s(0.5(a+b)2+(a+b)+R0)-(CAX+CA0+0.5(a)2)-T(2)Q=T+(1-s)(0.5(a+b)2+(a+b)+R0)-(CBX+CB0+0.5(b)2)(3)22,()(2)(3)a,b,()a0,b0Pa=s((a+b)+a)-2a=0(4)Qb=(1-s)((a+b)+)-2b=0(5)13第1期陈菊红,等:虚拟企业收益分配问题博弈研究(4)(5)a0b0:a0=s222-s22-(1-s)22(6)b0=(1-s)222-s22-(1-s)22(7)a0b0=s1-s22(8),1:,,23,(6)(7),a0b0s,Ga0b0,,Gs,Gs,Gs:Gs=Ga0a0s+Gb0b0s(9)a0sb0s(6)(7),Ga0Gb0(1)(6)(7),:a0s=2(22-22)((22-22)+s(22-22))2(10)b0s=-2(22-22)((22-22)+s(22-22))2(11)(1)a0b0Ga0=(a0+b0)+-2a0(12)Gb0=(a0+b0)+-2b0(13)(4),(a0+b0)+=2a0s(5)(8),(a0+b0)+=2b01-s=s20(12)(13),Ga0=1-ss2a0(14)Gb0=2a0(15)(10)(11)(14)(15)(9)Gs=2(a0)2(1-ss2(22-22)-22(22-22)((22-22)+s(22-22))214运筹与管理2002年第11卷Gs=0,1-ss2(22-22)-22(22-22)=0,s0=2(2-2)2(2-2)+2(2-2)(16),1-s0=2(2-2)2(2-2)+2(2-2)(17),,,,s01-s0,2:ABs0=2(2-2)2(2-2)+2(2-2)1-s0=2(2-2)2(2-2)+2(2-2),,,s0s0,,,(17),s0,s0=222(2-2)(2(2-2)+2(2-2))20(18)s0=-222(2-2)(2(2-2)+2(2-2))20(19)(1-s0)=222(2-2)(2(2-2)+2(2-2))20(20)(1-s0)=-222(2-2)(2(2-2)+2(2-2))20(21)(18)(20),,,(19)(21),,,,3:,,,,,,,24,,,,(1)abGa=(a+b)+-2a=0Gb=(a+b)+-2b=0,a0P=222-22-22(22)15第1期陈菊红,等:虚拟企业收益分配问题博弈研究b0P=222-22-22(23)(22)(6),(23)(7),a0Pa0,b0Pb0,,,,,,(Prisonersdilemma),3,,,:(1),,,,,,;(,),(2),,,,,,,(3)()(),,,[1],,.[J].,2001,2:5-9.[2],.[J].,2000,2:1-4.[3].[M].,1996.[4]YeongLingY.Profitsharingingandstandardsettinginproductionandprocurementmanagement[J].AppliedEconomics.1994,26(2):95-105.[5],.[J].,1998,5:31-35.[6].[J].,1999,5:18-19.16运筹与管理2002年第11卷