Contributions to Economics Paola Potestio Modelling Unemployment Insurance A Survey Contributions to Economics TheseriesContributionstoEconomicsprovidesanoutletforinnovativeresearchin allareasofeconomics.Bookspublishedintheseriesareprimarilymonographsand multiple author works that present new research results on a clearly defined topic, butcontributedvolumesandconferenceproceedingsarealsoconsidered.Allbooks arepublishedinprintandebookanddisseminatedandpromotedglobally.Theseries andthevolumespublishedinitareindexedbyScopusandISI(selectedvolumes). Moreinformationaboutthisseriesathttps://link.springer.com/bookseries/1262 Paola Potestio Modelling Unemployment Insurance A Survey PaolaPotestio DepartmentofEconomics RomaTreUniversity Roma,Roma,Italy ISSN1431-1933 ISSN2197-7178 (electronic) ContributionstoEconomics ISBN978-3-030-91318-2 ISBN978-3-030-91319-9 (eBook) https://doi.org/10.1007/978-3-030-91319-9 ©TheEditor(s)(ifapplicable)andTheAuthor(s),underexclusivelicensetoSpringerNatureSwitzerland AG2022 Thisworkissubjecttocopyright.AllrightsaresolelyandexclusivelylicensedbythePublisher,whether thewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseof illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similarordissimilarmethodologynowknownorhereafterdeveloped. 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. ThisSpringerimprintispublishedbytheregisteredcompanySpringerNatureSwitzerlandAG. Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland To Pietro, Ester, Luciana and Alessandro Contents 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2 TheStartingPoints. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.1 TheOptimalBenefitLevel:MartinNeilBaily(1978). . . . . . . . . . 7 2.2 TheTimeSequenceofUIBenefits:ShavellandWeiss(1979). . . . 10 2.3 JobSearchDecisions:DaleT.Mortensen(1977). . . . . . . . . . . . . 11 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3 TheOptimalLevelofUnemploymentInsurance. . . . . . . . . . . . . . . . 15 3.1 ProductivityGainsfromanUnemploymentInsuranceSystem. . . . 15 3.1.1 UISystemsandProductiveEfficiency:Acemoglu andShimer(1999). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 3.1.2 ANoteontheQuantitativeRelevanceofProductivity GainsfromaUISystem. . . . . . . . . . . . . . . . . . . . . . . . . . 20 3.1.3 MoreontheAnalyticalIssueofProductivityGains fromUIBenefits:DaronAcemoglu(2001). . . . . . . . . . . . 21 3.1.4 The‘SearchSubsidy’ProvidedbytheUISystem: MarimonandZilibotti(1999). . . . . . . . . . . . . . . . . . . . . . 25 3.2 TheSufficientStatisticsApproachtotheAnalysisofOptimal UIPolicy:Chetty’sContributions. . . . . . . . . . . . . . . . . . . . . . . . 29 3.2.1 TheGeneralizationofBaily’sResult:RayChetty(2006). . 29 3.2.2 MoralHazardandLiquidityEffectsintheDesignofthe OptimalUIBenefits:RayChetty(2008). . . . . . . . . . . . . . 34 3.3 NewIssuesfortheDesignoftheOptimalLevel ofUnemploymentInsurance. . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 3.3.1 Age-DependentStructureoftheOptimal UnemploymentInsurance. . . . . . . . . . . . . . . . . . . . . . . . . 39 3.3.2 AssetTestingandUnemploymentInsuranceSystems. . . . . 41 3.3.3 TheOptimalUIDesigninthePresenceofBiased Beliefs:Spinnewijn(2015). . . . . . . . . . . . . . . . . . . . . . . . 45 vii viii Contents 3.4 ExternalitiesandCorrectionsofBaily-ChettyResult. . . . . . . . . . . 48 3.4.1 ANewandWiderMacroeconomicFramework toDesigningOptimalUI:Landaisetal.(2018a,b). .. . . .. 48 3.4.2 UnemploymentInsuranceinthePresence of‘NegativeDurationDependence’:Lehr(2016). . . . . . . . 54 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 4 TheOptimalTimeProfileofUIPolicy. . . . . . . . . . . . . . . . . . . . . . . 59 4.1 TheOptimalTimeProfileofUIWithinaPartialEquilibrium Setting. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 4.1.1 TheOptimalTimeSequenceofUIBenefits andaTaxafterRe-employment. . . . . . . . . . . . . . . . . . . . 59 4.1.2 HumanCapitalDepreciation. . . . . . . . . . . . . . . . . . . . . . . 65 4.1.3 NewReferencesandIdeasforUIPolicy. . . . . . . . . . . . . . 72 4.1.4 NewScenariosinDesigningtheTimeProfile ofUIPolicy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 4.1.5 ReturningtotheTimeProfileofUnemployment Insurance. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100 4.2 TheOptimalTimeSequenceofUIWithinaGeneral EquilibriumSetting. . . . . . . . . .. . . . . . . . . . . .. . . . . . . . . . .. . 109 4.2.1 TheTimeProfileofUISchemawithinaGeneral EquilibriumModelofSearchUnemployment: FredrikssonandHolmlund(2001). . . . . . . . . . . . . . . . . . . 109 4.2.2 OptimalUIwithMonitoringandSanctionswithin aGeneralEquilibriumModelofSearchUnemployment: Booneetal.(2007). . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113 4.2.3 DoubtsaboutaDecreasingTimeProfileofUIBenefits withinaGeneralEquilibriumSearchModel: CahucandLehmann(2000). . . . . . . . . . . . . . . . . . . . . . . 116 4.2.4 StrategicWageBargainingandTimeProfileofUI Benefits:ColesandMaster(2006). . . . . . . . . . . . . . . . . . 119 4.3 ANewDynamicDesignofanOptimalUIPolicy. . . . . . . . . . . . . 121 4.3.1 The“OptimalTiming”ofUIBenefits: Kolsrudetal.(2018). . . . . . . . . . . . . . . . . . . . . . . . . . . . 122 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127 5 UnemploymentInsuranceOvertheBusinessCycles. . . . . . . . . . . . . 129 5.1 BusinessCyclesandtheTimeSequenceofUIBenefits: JuanSanchez(2008). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130 5.2 UIandMarginalWelfareGainsOvertheBusinessCycle: KoryKroftandMatthewNotowidigdo(2016). . . . . . . . . . . . . . . 133 5.3 BusinessCyclesandUnemploymentInsurancewithinaStatic Model:TorbenAndersenandMichaelSvarer(2011). . . . . . . . . . 135 Contents ix 5.4 AGeneralEquilibriumApproachtotheUnemployment InsurancePolicyOvertheBusinessCycle:KurtMitman andStanislavRabinovich(2015). . . . . . . . . . . . . . . . . . . . . . . . . 140 5.5 BusisnessCyclesandUI:TheEmpiricalApplications ofL-M-S(2018a)ModelofOptimalUI. . . . . . . . . . . . . . . . . . . . 143 5.6 TheOptimalUIPolicyintheFaceofaCovid-19-type Recession:KurtMitmanandStanislavRabinovich(2021). . . . . . . 146 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 6 SomeFurtherNotesontheRoleoftheUISystem. . . . . . . . . . . . . . . 151 6.1 SelectedEmpiricalAnalyses. . . . . . . . . . . . . . . . . . . . . . . . . . . . 151 6.2 OppositeForcesDrivingtheRe-employmentJobQuality: NekoeiandWeber(2017). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162 7 Conclusions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 163 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173 Chapter 1 Introduction 1. “Job turnover is the rule rather than the exception in every labor market”, Dale Mortensenwroteina1977articlethathasbeenabasicreferenceintheliterature on unemployment insurance. The fluctuations in demand for individual indus- tries, to which in particular Mortensen referred to, and the huge amount of movements and specificities in the lives of firms are the basis for considering jobturnoverasaphysiologicalfeatureofthelabormarket.Suchaconsiderationis implicit in the words of Dale Mortensen. Naturally, job losses, spells of unem- ployment,anddropsinconsumptionpossibilities,thatistheaspectsencompassed in unemployment risk, are the other side of the coin of job turnover. The very large exposure ofworkers ina marketeconomy to unemployment risk qualifies those physiological events as social problems. In itself, the qualification only impliestheverywideextentoftheproblems.Thisqualificationholdsevenwhile recognizing that the great exposure to unemployment risk obviously does not imply that this risk is uniformly spread. The specific risks of firms can also differentiate the unemployment risk exposure of workers with identical characteristics. Historically,asolidarityprincipleor,later,socialwelfareconsiderationshaveledto attribute to those problems the more specific value of problems pertaining to the entire community, i.e. problems to be addressed with social interventions, with socialinsurance programs.Thevirtualabsence ofprivateinsurance marketsinthis area (an important issue for economic analysis) has greatly contributed to the development of such programs. The historical roots of unemployment insurance plansareverydistantintime.Apartfrominitiativesinthisdirectionundertakenby individual cities or trade unions in Europe at the end of the nineteenth and early twentieth centuries, the first national compulsory system was established in Great Britainin1911andsubsequentlyinItalyandGermany(1927).IntheUnitedStates, a state unemployment insurance plan was first adopted in Wisconsin in 1932. The SocialSecurityAct,signedintolawbythePresidentRooseveltin1935,established an unemployment insurance system based on a federal-state partnership. By 1937 ©TheAuthor(s),underexclusivelicensetoSpringerNatureSwitzerlandAG2022 1 P.Potestio,ModellingUnemploymentInsurance,ContributionstoEconomics, https://doi.org/10.1007/978-3-030-91319-9_1