硕士论文-需求高峰期下商品价格下跌的理论研究

华中科技大学硕士学位论文需求高峰期下商品价格下跌的理论研究姓名：张卫丽申请学位级别：硕士专业：数量经济学指导教师：易江20060426III1)1β2β1γ2γ()21ββk−()21γγ−k2)()21ββk−()21γγ−k3)()21ββk−()21γγ−kIVAbstractInordertopursueformoreprofits,storesoftenmakepromotionstotheirmerchandisesinweekendsasthediversificationofthemanageartifice.Inthebargainer'spointofview,togivepromotiontomerchandiseswhicharehighlydemandisnotaccordwiththetraditionaltheoryofpricing.Inordertoanalyzeanddiscussthereasonsforthedeclineofthecommodities'priceswhicharehighlydemand,thispapertriestodemonstratethereasonandfeasibilityofthesalestrategywhichgivesdiscountstotheirmerchandiseswhentheyareinthepeakperiodofdemand.Basedonthetraditionaldemandfunction,weimportthefactorofacrosspricewhichwasbroughtbydifferentdemandperiods,andbuiltnewdemandfunctionsindifferentdemandperiods.Furthermore,undertherestrictconditionofseekingforthemaximumprofit,bymathematicaldeductionanddiscussion;wegettheexistenceofthedecreasingpricewhenthedemandforthismerchandiseisinitshighpeakvalue.Inaddition,wecandrawthreeconclusions:1)Undercertainboundaryconditions,thephenomenonthatthepriceofmerchandisewhichinhighdemanddecrease,hasnorelationshiptothesingleslopeofprice1β2βandtothesingleslopeofacrossprice1γ2γ.However,itisrelatedtothecombinationof()21ββk−and()21γγ−k.2)Underthepreconditionthattheproductofthepriceofdifferentdemandperiodslargerthanthesquareoftheaverageslopeofacrossprice,themore()21ββk−and()21γγ−k,thelowerthepriceofthemerchandisewillbe.3)Underthepreconditionthattheproductofthepriceofdifferentdemandperiodssmallerthanthesquareoftheaverageslopeofacrossprice,theless()21ββk−and()21γγ−k,thelowerthepriceofthemerchandisewillbe.Keywordsthepeakofdemandpriceacrosspricedecline111.11.1.116482pringle()14.510.8(8210.8)8210.8pringle8210.8pringle21.1.2()()()1.21.2.11.2.231.31.3.11.3.21)()2)()()3)422.1[3]“”“”“”“”“”“”2.22.2.1[4]52.2.2()2.2.3[6]2.1[3]62.12.1SSDPQPEQEPEPPE2.3[2]EXYXY0XYEY()X()XY0XYEY()X()XYXY70=XYEYXXY2.41)2)3)4)82.5[8]933.13.1.11)Q1P1Q2P22)()2121;PPQQ=()2122;PPQQ=211111PPQγβα+−=(3.1)122222PPQγβα+−=(3.2)3)4)C3.1.21)12αα2)01β02β103)01γ02γ4)P10P20Q10Q203.23.2.1(3.1)(3.2)()212211QQCQPQPTCTR+−+=−=Π()()()()[]22111221122222211111PPCPPPPPPβγβγααγβαγβα−+−++−+−++−=(3.3)(3.3)P1P2()0222211211111=−−+−+−=∂Π∂βγγβγβαCPPPPP()()0222111121=++−−−PPCγγββγα(3.4)()0212212222112=−−−+−+=∂Π∂βγβγβαγCPPPPP()()0212122212=++−−−PPCγγββγα(3.5)(4)(5)P1P2()[]()[]()()22121212121212142γγββγγβγαβγαβ+−+−−+−−=CCP(3.6)()[]()[]()()22121211212121242γγββγγβγαβγαβ+−+−−+−−=CCP(3.7)3.2.2P1P2(3.6)(3.7)P1P211()0422121+−γγββP1P2()[]()[]()()[]()[]()21121212121212121222γγβγαβγαβγγβγαβγαβ+−−+−−+−−+−−CCCC(3.8)()[]()[]()[]()[]022212112211221〉+−×−−−+−×−−γγβαβγγγβαβγCC(3.9)21ββ≥()[]()[]{}()[]02211112221〉+−×−−−−−γγβαβγαβγCC(3.10)(3.9)1)+2211γγβ(3.10)()[]()[]112221αβγαβγ−−−−−CC0〉()0)(212121〉−+−+−ααββγγCC(3.11)21ββ≥+2211γγβ(3.11)(3.1)3.1412-(1+2)2012211+2P1P212αα1β2β1γ2γ()0422121+−γγββ(3.12)1221ββ≥(3.13)+2211γγβ(3.14)()0)(212121−+−+−ααββγγCC(3.11)21pp2)+2211γγβ(3.10)()[]()[]0112221−−−−−αβγαβγCC()0)(212121−+−+−ααββγγCC(3.15)()+2211γγβ1β2β1γ2γ()()11211221222ββγγβγγ++21ββ≥()2121221422ββββγγ=+(3.16)(3.16)(3.12)()0422121+−γγββ21pp21ββ(3.9)(3.9)()[]()[]()[]()[]022212112211221+−×−−−+−×−−γγβαβγγγβαβγCC21ββ()[]()[]21221122γγβγγβ+−+−3)+2211γγβ()()21221122γγβγγβ+−+−=k0k113(3.9)()[]()[]0112221−−−−−αβγαβγCkC()()0)(212121−+−+−ααββγγkCkC(3.17)21ββ1212γγβ+(3.17)(3.2)3.2412-(1+2)2012211+2P1P212αα1β2β1γ2γ()0422121+−γγββ(3.12)21ββ(3.18)2112γγβ+(3.19)()()()0212121−+−+−ααββγγkCkC(3.17)()()10,22221211+−+−=kkγγβγγβ21PP4)()02212+−γγβ()()21221122γγβγγβ+−+−=k1k14(3.9)()[]()[]0112221−−−−−αβγαβγCkC()()()0212121−+−+−ααββγγkCkC,2122γγβ+()()22212221222ββγγβγγ++1β2β1γ2γ()2122221422ββββγγ+,2122γγβ+(()0422121+−γγββ21ββ≥)21PP5)()221122βγγβ+()()21221122γγβγγβ+−+−=k0k(3.9)()[]()[]0112221−−−−−αβγαβγCkC()()()0212121−+−+−ααββγγkCkC(3.20)(3.20)(3.3)153.3412-(1+2)2012211+222P1P212αα1β2β1γ2γ()0422121+−γγββ(3.12)21ββ(3.18)()221122βγγβ+(3.21)()()()0212121−+−+−ααββγγkCkC(3.17)()()21221122γγβγγβ+−+−=k0k21PP()0422121+−γγββ21PP()[]()[]()()[]()[]()21121212121212121222γγβγαβγαβγγβγαβγαβ+−−+−−+−−+−−CCCC()[]()[]()[]()[]022212112211221+−×−−−+−×−−γγβαβγγγβαβγCC(3.22)21ββ≥16()[]()[]{}()[]02211112221+−×−−−−−γγβαβγαβγCC(3.23)(3.22)6)()2122γγβ+(3.23)()[]()[]0112221−−−−−αβγαβγCC()()()0212121−+−+−ααββγγCC(3.24)1β2β1γ2γ()2122γγβ+()()22212221222ββγγβγγ++21ββ≥()2122221422ββββγγ+(3.25)(3.25)(()0422121+−γγββ21ββ≥)21PP7)()2122γγβ+;(3.23)()[]()[]0112221−−−−−αβγαβγCC()()()0212121−+−+−ααββγγCC(3.26)()[]()[]()()22121212121212142γγββγγβγαβγαβ+−+−−+−−=CCP()()[]()221212121214γγββββγγαα+−+++−+CC17()[]()()22121212122142γγββγγβββαα+−+++−+CC()[]()()221212121421γγββγγββαα+−+−++C21ββ≥()[]()()2212121212114γγββγγββαα+−+−++CP021ββ(3.9),()[]()[]()[]()[]022212112211221+−−−−+−−−γγβαβγγγβαβγCC21ββ()[]()[]21221122γγβγγβ+−+−8)()[]02212+−γγβ()()21221122γγβγγβ+−+−=k10k(3.9)()[]()[]0112221−−−−−αβγαβγCkC()()()0212121−+−+−ααββγγkCkC(3.27)()2112γγβ+()()2121211221422ββββγγβγγ