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Springer Texts in Business and Economics Karl Farmer Matthias Schelnast Growth and International Trade An Introduction to the Overlapping Generations Approach Second Edition Springer Texts in Business and Economics Springer Texts in Business and Economics (STBE) delivers high-quality instruc- tionalcontentforundergraduatesandgraduatesinallareasofBusiness/Management Science and Economics. The series is comprised of self-contained books with a broadandcomprehensivecoveragethataresuitableforclassaswellasforindividual self-study. All texts are authored by established experts in their fields and offer a solidmethodologicalbackground,oftenaccompaniedbyproblemsandexercises. Moreinformationaboutthisseriesathttp://www.springer.com/series/10099 (cid:129) Karl Farmer Matthias Schelnast Growth and International Trade An Introduction to the Overlapping Generations Approach Second Edition KarlFarmer MatthiasSchelnast DepartmentofEconomics DepartmentofEconomics UniversityofGraz UniversityofGraz Graz,Austria Graz,Austria ISSN2192-4333 ISSN2192-4341 (electronic) SpringerTextsinBusinessandEconomics ISBN978-3-662-62942-0 ISBN978-3-662-62943-7 (eBook) https://doi.org/10.1007/978-3-662-62943-7 #Springer-VerlagGmbHGermany,partofSpringerNature2021 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartofthe materialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation, broadcasting,reproductiononmicrofilmsorinanyotherphysicalway,andtransmissionorinformation storageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodology nowknownorhereafterdeveloped. Theuseofgeneraldescriptivenames,registerednames,trademarks,servicemarks,etc.inthispublication doesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevant protectivelawsandregulationsandthereforefreeforgeneraluse. The publisher, the authors, and the editorsare safeto assume that the adviceand informationin this bookarebelievedtobetrueandaccurateatthedateofpublication.Neitherthepublishernortheauthorsor theeditorsgiveawarranty,expressedorimplied,withrespecttothematerialcontainedhereinorforany errorsoromissionsthatmayhavebeenmade.Thepublisherremainsneutralwithregardtojurisdictional claimsinpublishedmapsandinstitutionalaffiliations. ThisSpringerimprintispublishedbytheregisteredcompanySpringer-VerlagGmbH,DEpartofSpringer Nature. Theregisteredcompanyaddressis:HeidelbergerPlatz3,14197Berlin,Germany Preface to the Second Edition Thesecondeditionofthetextbookathandcontains—comparedtothefirstedition— four more chapters on growth and international trade from the Diamond-type overlappinggenerations(OLG)perspective.InPartI,“Growth”,involuntaryunem- ploymentinintertemporalgeneralequilibriumunderflexiblepricesandwagesisthe subject of a new chapter (Chap. 9). Robots, investment in human capital, and unemployment in a digital world economy are dealt with in Chap. 10, which now concludes Part I. The empirical data in other chapters of Part I, in particular in Chap. 1,areupdated,minorerrors arecorrected, andthewholetext ischecked for the sake of internal consistency. Part I of this second edition comprises fifty-fifty introductory and advanced material. This is also true for Part II, “International Trade”,whichisalsoextendedbytwonewChaps.21and22.InChap.21,financial integrationandhousepricedynamicsaredepictedinaglobalOLGwithintra-EMU and Asian–US trade imbalances. The final chapter (Chap. 22) extends the closed economy of Chap. 7 towards a two-country, open-economy model in order to explain why religion might persist in a globalized world economy. Empirical data inPartIIarealsoupdated,minorerrorsarecorrected,andthewholetextisexamined forinternalconsistency. Asindicatedbythebook’ssubtitle,itwastheauthors’intentiontointroducethe conceptoftheoverlappinggenerationsapproachtogrowthandinternationaltradeto amuchwideraudience.Whatwassaidintheprefacetothefirsteditionisalsotrue for the new chapters of the second edition. Nonetheless, the approach taken in the newchaptersremainsrelativelyintroductoryinthatutilityandproductionfunctions arespecifiedinsuchawaythatanyinterestedreadershouldbecapableofderiving solutions to the intertemporal general equilibria described. However, our primary intention is not simply to hone skills in general equilibrium solutions but rather to improve the reader’s ability to grasp the analytical significance of the much more advanced dynamic general equilibrium models (on growth and international trade) publishedinleadingjournals. The second edition of the textbook at hand represents a thoroughly revised and substantially extended version of Wachstum und Außenhandel, co-authored by RonaldWendnerandfirstpublishedinGermanin1997andthenasasecondedition in1999.ThenewlyaddedchaptersinPartIarebasedonthefirstauthor’spreviously published work (in cooperation with Stefan Kuplen), while Chaps. 21 and 22 are v vi PrefacetotheSecondEdition basedonpreviouslypublishedworkofthefirstauthor.Whilebothauthorsvouchfor theaccuracyofallthechapters,themajoronusofresponsibilityrestsclearlywiththe firstauthor. Acknowledgment Niko Chtouris, the Associate Editor for books in Economics andPoliticalScience,initiatedtherevisionofGrowthandInternationalTrade.We areverygratefultohimforthisinitiativeandforhisexcellentcooperationduringthe revisionprocess. Graz,Austria KarlFarmer September2020 MatthiasSchelnast Preface to the First Edition This textbook contains introductory and rather advanced topics on growth and international trade from the Diamond-type overlapping generations perspective. PartI,“Growth”,comprisesmainly,althoughnotexclusively,introductorymaterial. This is also true for Part II, “International Trade”, but to a much lesser extent. In PartI,theunifiedanalyticalapproachofDiamond’s(1965)overlappinggenerations model toneoclassical(“old”)and“new”growththeories (R&D andhuman capital approaches) figures prominently. Chapters 2 and 3 exhibit the basic overlapping generations model of the world economy, its intertemporal equilibrium dynamics, andsteady-stategrowth.DiscussionofpublicdebtinChap.4andeconomicgrowth under exogenous and endogenous conditions of technological change in Chaps. 5 and6andadescriptionofthefactors(religionincluded)determininghumancapital formationinChap.7arebothexpectedtoattracttheinterestofthereader.Giventhe presenteconomicclimate,thechapterconcludingPartI,on“GrowthwithBubbles”, willlikelybeparticularlyinteresting.ThefirstthreechaptersinPartIIaredevotedto thepresentationofanintertemporalequilibriumversionofneoclassical(Heckscher- Ohlin) trade theory, including a neoclassical model on globalization. Further two chapters focus on international trade under imperfect competition and on product differentiation under exogenous and endogenous technological change. The remaining five chapters of Part II contain recent research results obtained by the firstauthorincooperationwithbothBirgitBednar-Friedlandthesecondauthor.The first two of these chapters deal with the existence of limits to national debt and international effects of debt reduction in advanced countries. The international impact of unilateral climate policy on capital accumulation and welfare and the determination of an optimum climate policy from a unilateral and a multilateral perspective are investigated in the next two chapters. The final chapter in Part II looksattheinternaldebtmechanicsleadingtotherecentcrisisintheeurozone. Asindicatedbythebook’ssubtitle,itwastheauthors’intentiontointroducethe conceptoftheoverlappinggenerationsapproachtogrowthandinternationaltradeto amuchwideraudience.Theapproachtakenisrelativelyintroductoryinthatutility and production functions are specified in such a way that any interested reader should be capable of deriving solutions to the intertemporal general equilibria vii viii PrefacetotheFirstEdition described. However, our primary intention is not simply to hone skills in general equilibriumsolutionsbutrathertoimprovethereader’sabilitytograsptheanalytical significance of the much more advanced dynamic general equilibrium models (ongrowthandinternationaltrade)publishedinleadingjournals. Thisbookrepresentsathoroughlyrevisedandsubstantiallyextendedversionof WachstumundAußenhandel,co-authoredbyRonaldWendnerandfirstpublishedin Germanin1997andthenasasecondeditionin1999.Asmentionedabove,thelast four chapters of Part II are based on the first author’s previously published work (incooperationwithBirgitBednar-Friedl),whileChaps.8and15arebasedonjoint work of the present authors. While both authors vouch for the accuracy of all the chapters,themajoronusofresponsibilityrestsclearlywiththefirstauthor. Acknowledgments Several people have helped us over the long period of gestationneededtocompletethiswork.First,weareparticularlygratefultoLaurie ConwayandIngeborgStadlerfortheirexcellentlanguagecheck.Lauriemadesuch substantialrevisionstoseveralchaptersthattosomeextenthecouldevenbeseenas co-author.WearealsogratefultoAnitaSchewczik-PauritschandCorinnaBlaschfor carefulproofreading.Lastbutnotleast,wethankDr.MartinaBihnandBarbaraFess from Springer for encouraging us to revise Wachstum und Außenhandel and for acceptingthemanuscriptforpublication. Authoring a book is a highly demanding exercise for all those concerned. We bothoweaconsiderabledebtofgratitudetoallthoseamongourfamilyandfriends whorepeatedlyofferedustheirpatienceandsupportoverthelastfewmonths. Graz,Austria KarlFarmer August2012 MatthiasSchelnast Contents 1 GrowthandInternationalTrade:Introduction andStylizedFacts. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1 IntroductionandMotivation. . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 DefinitionofGrowthMagnitudes. . . . . . . . . . . . . . . . . . . . . . 3 1.2.1 GrowthRatesofProductsandQuotients. . . . . . . . . . 6 1.3 Kaldor’s“StylizedFacts”.. . . . . . . . . . . . .. . . . . . . . . . . .. . 7 1.4 Kuznets’Facts. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 1.5 InternationalizationFacts. . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 1.5.1 WorldTradeIsGrowingFasterThanWorld Output. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 1.5.2 ExportandImportRatiosIncreaseOverTime. . . . . . 16 1.5.3 Two-ThirdsofForeignTradeTakesPlaceBetween DevelopedCountries. . . . . . . . . . . . . . . . . . . . . . . . 18 1.5.4 NeighboringCountriesTradeMorewithEach OtherThanCountriesThatAreFurtherApart. . . .. . . 20 1.6 GlobalizationFacts. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 1.6.1 ForeignDirectInvestmentandFinancial Investment. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 1.6.2 AsiaSincethe1970s:“The”DynamicExport Region. . .. . . . . .. . . . . .. . . . . .. . . . . . .. . . . . .. 23 1.7 SummaryandConclusions. . . .. . . . . . . . . . .. . . . . . . . . . .. 23 1.8 Exercises. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 PartI Growth 2 ModelingtheGrowthoftheWorldEconomy:TheBasic OverlappingGenerationsModel. . . . . . . . . . . . . . . . . . . . . . . . . . . 31 2.1 IntroductionandMotivation. . . . . . . . . . . . . . . . . . . . . . . . . . 31 2.2 TheSet-UpoftheModelEconomy. . . . . . . . . . . . . . . . . . . . 32 2.3 TheMacroeconomicProductionFunctionandIts PerCapitaVersion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 2.4 StructureoftheIntertemporalEquilibrium. . . . . . . . . . . . . . . 37 iixx

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