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1、外文翻译whendoesMarginalcostpricingleadtoParetoEfficiencyMaterialSource:Springer-VerlagAuthor:EgbertDierkerThebasicdifficultyinthecourseofthisworkhasbeenthatoffindingoutinwhichtermsrelevantcriteriaforthewell-functioningofthemarginalcostpricingrulearetobeformulated.Forthatpurpose,
2、andtoimproveourintuition,wefirststudyindetailparticularlysimpleclassofexampleswiththeaidofthetheoryofpublicgoods.Thestartingpointhereisthewide-spreadideathatdecreasingcostphenomenacanbeassociatedwithpublicgoods.Althoughthisideaisintuitivelyplausible,andalthoughthetheoryofpubl
3、icgoodshasexperiencedarapiddevelopmentinthelastdecades,wehavenotfoundaformalanalysisofdecreasingcostphenomenausingthetheoryofpublicgoodsintheliterature.Therefore,wedevelopamodelinwhichwetransformincreasingreturnstoscaletechnologyinvolvingtwoprivategoods,oneinput,whichservesas
4、num,andoneoutput,intoaconvextechnologyinvolvingtwoprivategoodsandanadditionalpublicgood.Thepublicgoodrepresentsahinvestmentintermsoffixedcosts,higherfixedcosts,amoreproductivemachinery,leadingtolowerunitcosts.Theconsumershaveacommoninterestintheproductivityofthemachinery,sinc
5、eareductionofunitcostsisreflectedbyareductionofprices,inotherwords,byanimprovedpurchasingpowerofthenumcommoditywithwhichconsumersareendowed.Theefficiencyofallocationsineconomieswithpublicgoodshasbeenstudied,amongotherthings,inLindahltheory[seeMilleron(1972)forasurvey].Inparti
6、cularthefundamentaltheoremofwelfareeconomicshasbeenestablishedforeconomieswithpublicgoods.Theanalogofacompetitiveequilib¡inaneconomy44E.Dierker:withpublicgoodsisaLindahlequilibrium.EveryLindahlequilibriumisParetoefficientand,underconvexityassumptions,everyParetoefficientalloc
7、ationisaLindahlequilibriumirendowmentsaresuitablydistributed.Awell-knownnecessaryconditionforParetooptimalityineconomieswithpublicgoodsisSamuelson'scondition,whichsaysthatthesumoftheindividualratesofsubstitutionbetweenapublicandaprivategoodmustyieldthemarginalrateoftransforma
8、tionbetweenthesegoods.Weshallseeinsection2thatamarginalcostpricingeq