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1、DiscreteDynamicalSystemsOdedGalorDiscreteDynamicalSystemsProf.OdedGalorBrownUniversityDepartmentofEconomics64WatermanSt.Providence,RI02912USAodedgalor@brown.eduLibraryofCongressControlNumber:2006934984ISBN-103-540-36775-6SpringerBerlinHeidelbergNewYorkISBN-13978-3-540-36775-8SpringerBerlinH
2、eidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,speci?callytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicro?lmorinanyotherway,andstorageindatabanks.Duplicationofthispublicationo
3、rpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMediaspringer.comcSpringer-Ver
4、lagBerlinHeidelberg2007Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspeci?cstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Typesetting:IntegraSoftwareServicesPvt.Ltd.,
5、Pondicherry,IndiaCoverdesign:WMXDesignGmbHPrintedonacid-freepaperSPIN:1179114042/3100/Integra543210Tomysons:Alon,Yuval,andOmriAcknowledgementsThisbookhasevolvedoverthepastdecadewhileIhavebeenteach-ingmasteranddoctoralcoursesatBrownUniversityandtheHebrewUniversityofJerusalemonthesubjectsofdi
6、scretedynamicalsystemsandtheirapplicationsforintertemporalmacroeconomicsandeconomicgrowth.Ibene?tedfromtheinteractionwithseveralcohortsofstudentswhohavereadthemanuscriptinitsvariousstagesandprovidedcon-structivecommentsonitsdi?erentsegments.IamespeciallygratefulforBennyBerdugo,RubenDurante,
7、LeoFeler,PhillipGarner,TakumaKunieda,YishayMaoz,PetrosMilionisandCarminaVargas,whohavecarefullyreadandcommentedonthe?naldraftofthemanuscript.PrefaceThisbookprovidesanintroductiontodiscretedynamicalsystems–aframeworkofanalysisthatiscommonlyusedinthe?eldso
