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3822200811MATHEMATICSINPRACTICEANDTHEORYVol138No122Nove.,20081,2,2(1.,710054)(2.,710054):,.,,,,,,.:;;0:2007-10-26,,.,,,.,.,,.,,,(,),,,,.,,,.,.,,,,,.,.11.130,,.,(),().,().,,,,,;,,,.1991.,,,RnRk,,.,.,,,,,.,..1.21:,,.,,,U=-e-QX,Q(Arrow-Prattmeasureofabsoluteriskaversion).2:(a1,a2),a1,a2.P1=a1+H1,P2=a2+H2,H1H2,H1N(0,R21),H2N(0,R22),H1H2.3:C(a1,a2)=12b1a21+12b2a22,b1b2.4:,Cobb-DouglasY=APA1P1-A2,A.5:,X=a+B1P1+B2P2,a,B1B2P1P2.1.3,.E(U1)=E(Y-a-B1P1-B2P2)=E(APA1P1-A2-a-B1P1-B2P2)3522,:=AaA1a1-A2-a-B1a1-B2a21.4(CertaintyEquivalence)E(U2)=E(X)=E(a+B1P1+B2P2)=a+B1a1+B2a2VAR(X)=B21R21+B22R22,()12QB21R21+12QB22R22(CertaintyEquivalence):a+B1a1+B2a2-12b1a21-12b2a22-12QB21R21-12QB22R22.1.5,[1]:(ParticipationConstraint),.,,;(IncentiveCompatibilityConstraint):,,,,.,:MaxAaA1a1-A2-a-B1a1-B2a2s.t.a+B1a1+B2a2-12b1a21-12b2a22-12QB21R21-12QB22R22EXq(1)a32,a32argmaxa+B1a1+B2a2-12b1a21-12b2a22-12QB21R21-12QB22R22(2)(1),(2).22.1,(2).U(a1,a2)=a+B1a1+B2a2-12b1a21-12b2a22-12QB21R21-12QB22R225U5a1=B1-b1a1,5U5a2=B2-b2a2:B1-b1a1=0,B2-b2a2=0a31=B1b1,a32=B2b2(3),(),:MaxAaA1a1-A2-a-B1a1-B2a24538s.t.a+B1a1+B2a2-12b1a21-12b2a22-12QB21R21-12QB22R22=Xqa31=B1b1,a32=B2b2,(3):Max(B1,B2)=AB1b1AB2b21-A-B212b1-B222b2-12QB21R21-12QB22R22-Xq55B1=Ab1AB1b1A-1B2b21-A-B1b1-QB1R2155B2=Ab2(1-A)B1b1AB2b2-A-B2b2-QB2R22:Ab1AB1b1A-1B2b21-A-B1b1-QB1R21=0(4)Ab2(1-A)B1b1AB2b2-A-B2b2-QB2R22=0(5)(4)ö(5):B1B2=A1-Aõb2b1õ1+b2QR221+b1QR2112(6):B1=A(1-A)bA1b1-A2A1-Aõb2b1õ1+b2QR221+b1QR21A+12B2=A(1-A)bA1b1-A2A1-Aõb2b1õ1+b2QR221+b1QR21A22.2,B1B2=W(A,b1,b2,Q,R21,R22)=A1-Aõb2b1õ1+b2QR221+b1QR2112,A,b1,b2,Q,R21,R22,:1)5W5A=12õ1(1-A)2õb2b1õ1+b2QR221+b1QR21A1-Aõb2b1õ1+b2QR221+b1QR11-120.,WA,,.2)5W5b2=12õA1-Aõb2b1õ1+2b2QR22b1(1+b1QR21)A1-Aõb2b1õ1+b2QR221+b1QR11-120.,Wb2,,.3)5W5b1=12õA1-Aõb2(1+b2QR22)(2b1QR21-1)b21(1+b1QR21)2õA1-A.b2b1õ1+b2QR221+b1QR21-12.b15522,:12QR21,5W5b10,,;b112QR21,5W5b10,,.4)5W5Q=12.A1-Aõb2b1.(b2R22-b1R21)(1+b1QR21)2õA1-Aõb2b1õ1+b2QR221+b1QR21-12.b2R22b1R21,5W5Q0,,;b2R22b1R21,5W5Q0,,.5)5W5R22=12õA1-A.b22b1õQ1+b1QR21A1-Aõb2b1õ1+b2QR221+b1QR11-120.,.6)5W5R21=12õA1-Aõb2b1õ-b1Q(1+b2QR22)(1+b1QR21)2õA1-A.b2b1õ1+b2QR221+b1QR21-120.,.3,,,,.,,.,,Cobb-Douglas,,.,,.,:,,,,;,,,;,,,,,.,,,,,6538.:[1].[M].,1996.[2].()[M].:,1999[3]MilgromP,RobertEconomicsJ.OrganizationsandManagement[M].NJ:Prentice-Hall,Inc,1992.[4]AusubelDP.EducationalPsychology:ACognitiveView[M].NewYork:Holt,Rinehart&Wilson,1997.[5],,.TOPSIS[J].,2007,27(1):115-119.[6],.[J].,2006,146(5):184-186.[7].[J].,2003,23(8):25-26.[8].[J].,2004,(3):47-48.[9]RossS.Theeconomictheoryofagency:Theprincipalsproblem[J].AmericanEconomicReview,1973,63:135-139.ResearchontheIncentiveMechanismsforCollegeTeachersBasedontheMulti-taskPrincipal-agentTheoryZHANGLi-jie1,WUYing-tong2,CAOXue-mei2(1.PartyCammitteOffice,Xian710054,China)(2.CollegeofGeomatics,XianUniversityofScienceandTechnology,Xian710054,China)Abstract:Thestimulationtothehighschoolteachersisanimportantlinkofhighschooleducation.Thepaperbelievesthattherationalincentivemechanismdesignforthehighschoolteachersistheinstitutionalguaranteeforenhancinghighschooleducationlevel.Basedonthegametheoryandtheprincipal-agenttheory,fromtheperspectiveoftheinformationasymmetrybetweenthehighschoolmanagerastheprincipalandtheteachersastheagent,thepaperdividedtheeffortmadebytheteacherintoteachingeffortandscientificeffort.TheanalysisofincentivemechanismforhighschoolteacherwasmadebasedontheMulti-taskprincipalandagenttheorytoachievethegoalofimprovingthehighschooleducationlevelandthelevelofscientificresearchaswell.Keywords:incentivemechanismforteacher;asymmetryinformation;principalandagenttheory7522,: