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1、UNIVERSITETETS0KONOMISKEINSTITUTTLEDERE:PROFESSORDR.RAGNARFRISCHOGPROFESSORDR.I.WEDERVANGf"'e,.'Publikasjonnr.3.IIIiiPropagati'onProblemsandImpulse:~::"ProblemsinDynamicEconomics.ByIRagnarFrisch.lIOSLO1933Wriit#U@Ii?..;'2'~k:CG.Reprinted/romECONOMICESS
2、AYSINHONOUROFGUSTAVCASSEL.(Lond01l:GeorgeAllen&!UnwinLtd.)I·illPROPAGATIONPROBLEMSANDIMPULSE;..~;~.PROBLEMSINDYNAMICECONOMICS*I·i/?f<-l_~RAGNARFRISCH,UniversityofOslo!.)I.INTRODUCTIONTHEmajorityoftheeconomicoscillationswhichweencounterseemtobeexplained
3、mostplausiblyasfreeoscillations.Inmanycasestheyseemtobeproducedbythefactthatcertainexteriorimpulseshitthe~.economicmechanismandtherebyinitiatt.:moreorlessregularoscillations.Themostimportantfeatureofthefreeoscillationsisthatthelengthofthecyclesandtheten
4、dencytowardsdampeningaredeterminedbytheintrinsicstructureoftheswingingsystem,whiletheintensity(the';.;.camplitude)ofthefluctuationsisdeterminedprimarilybytheexterior'-~impulse.Animportantconsequenceofthisisthatamoreorlessregularfluctuationmaybeproducedb
5、yacausewhichoperatesirregularly.Thereneednotbeanysynchronismbetweentheinitiatingforceorforcesandthemovementoftheswingingsystem.Thisfact'.IIhasfrequentlybeenoverlookedineconomiccycleanalysis.Ifacyclicalvariationisanalysedfromthepointofviewofafreeoscillat
6、ion,wehavetodistinguishbetweentwofundamentalproblems:first,thepropagationproblem;second,theimpulseproblem.Thepropagationproblemistheproblemofexplainingbythestructuralpropertiesoftheswingingsystemwhatthecharacteroftheswingswouldbeincasethesystemwasstarte
7、dinsomeinitialsituation.Thismustbedonebyanessentiallydynamictheory,thatistosay,byatheorythatexplainshowonesituationgrowsoutoftheforegoing.Inthistypeofanalysisweconsidernotonlyasetofmagnitudesinagivenpointoftimeandstudytheinterrelationsbetweenthem,butwec
8、onsiderthemagnitudesofcertainvariablesindifferentpointsoftime,andweintroducecertainequationswhichembraceatthesametimeseveralofthesemagnitudesbelongingtodifferentinstants.This?Thenumericalresultsincorporatedinthepresentstudyhavebe