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Scope insensitivity: The limits of intuitive

valuation of human lives in public policy

Stephan Dickert, Daniel Västfjäll, Janet Kleber and Paul Slovic

Linköping University Post Print

N.B.: When citing this work, cite the original article.

Original Publication:

Stephan Dickert, Daniel Västfjäll, Janet Kleber and Paul Slovic, Scope insensitivity: The limits

of intuitive valuation of human lives in public policy, 2015, Journal of Applied Research in

Memory and Cognition, (4), 3, 248-255.

http://dx.doi.org/10.1016/j.jarmac.2014.09.002

Copyright: 2015 Published by Elsevier Inc on behalf of Society for Applied Research in

Memory and Cognition. This is an open access article under the CC BY-NC-ND license.

http://www.elsevier.com/

Postprint available at: Linköping University Electronic Press

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Journal

of

Applied

Research

in

Memory

and

Cognition

j ou rn a l h o m epa g e : w w w . e l s e v i e r . c o m / l o c a t e / j a r m a c

Original

Article

Scope

insensitivity:

The

limits

of

intuitive

valuation

of

human

lives

in

public

policy

Stephan

Dickert

a,b,∗

,

Daniel

Västfjäll

b,c

,

Janet

Kleber

d

,

Paul

Slovic

c,e aDepartmentofMarketing,WUViennaUniversityofEconomicsandBusiness,Austria

bPsychologyDepartment,LinköpingUniversity,Sweden cDecisionResearch,USA

dPsychologyDepartment,UniversityofVienna,Austria eDepartmentofPsychology,UniversityofOregon,USA

a

r

t

i

c

l

e

i

n

f

o

Articlehistory:

Received15October2013 Accepted30September2014 Availableonline7October2014 Keywords:

Valueoflife Scopeinsensitivity Informationprocessing

a

b

s

t

r

a

c

t

Acriticalquestionforgovernmentofficials,managersofNGOs,andpoliticiansishowtorespondto situationsinwhichlargenumbersoflivesareatrisk.Theoriesinjudgmentanddecisionmakingaswell aseconomicssuggestdiminishingmarginalutilitywithincreasingquantitiesofgoods.Inthedomain oflifesaving,thisformofnon-linearityimpliesdecreasingconcernforindividuallivesasthenumberof affectedpeopleincreases.Inthispaper,weshowhowintuitivevaluationsbasedonprosocialemotions canleadtoscopeinsensitivityandsuboptimalresponsestolivesatrisk.Wepresentbothnormative anddescriptivemodelsofvaluationsoflivesanddiscusstheunderlyingpsychologicalprocessesasthey relatetojudgmentsanddecisionsmadeinpublicpolicyandbyNGOs.

©2015PublishedbyElsevierInconbehalfofSocietyforAppliedResearchinMemoryandCognition. ThisisanopenaccessarticleundertheCCBY-NC-NDlicense(http://creativecommons.org/licenses/ by-nc-nd/4.0/).

1. Introduction

Peopleinorganizationsoftenhavetomakedecisionsthataffect thewelfareofothers.Thisincludesallocationsofresources(e.g., money,time,andservices)bynationalandinternational organi-zationsaswellas bygovernmentagencies.In situations where thewelfareoflargesegmentsofapopulationisthreatened,both government and non-government organizations (e.g.,charities; NGOs)arecalledupontoreact.Recentexamplesofsuchlarge-scale threatsincludetheongoinghumanitariancrisesinAfricaaswellas armedconflicts(e.g.,thecivilwarinSyria)andnaturalcatastrophes (e.g.,hurricanes and earthquakes). In response to such calami-ties, international humanitarian aid in 2011 consisted of both government-provided($12.5billion)andprivatevoluntary($4.6 billion)contributions(GlobalHumanitarianAssistance,2013).In ordertounderstandhowmanagers,civilservants,politicians,and otheradministratorsmakedecisionsregardingthewelfareof peo-plewhoselivesareindanger,weneedtobetterunderstandhow peoplevaluethelivesofothers.

Inthisarticlewegiveexamplesofhowhumanlivesarevalued andhowthisdeviatesfromhowtheyshouldbevaluedaccording

∗ Correspondingauthorat:DepartmentofMarketing,WUViennaUniversityof EconomicsandBusiness,Welthandelsplatz1,1020Vienna,Austria.

Tel.:+431313364522;fax:+43131336904522. E-mailaddress:stephan.dickert@wu.ac.at(S.Dickert).

toegalitariannorms.Wearguethatvaluationsoflivesareprone towell-documentedbiaseswhendoneintuitively.Followingdual processmodels,wedefineintuitiveinformationprocessingtobe primarilyautomaticandaffectiveinnatureanddeliberative infor-mationprocessingtobecontrolledandreason-based(Evans,2008; Kahneman,2003;Stanovich&West,2000).Wefirstpresenttwo examplesof valuations that follow normative moral principles, thencontrast themwithdescriptive valuationmodelsresulting from intuitive processing. Finally, we present a short studyto demonstratehowvariationsinelicitationmethodscanleadto dif-ferentvaluationsoflivesandclosewithadiscussiononhowthese valuationscouldbeimproved.

Experimentalresearchhasshownthatvaluationsoflivesare oftenscopeinsensitive,whichisthetendencytoberelatively unre-sponsivetothenumberofpeopleatriskinlarge-scalehumanitarian catastrophes.Scopeinsensitivitycanleadtosuboptimaldecision outcomesinpublicpolicy.Thisisthecaseinsituationswherethe goalistoimprovethewelfareofasmanypeopleaspossible,but thedecisions(andunderlyingvaluations)donotcorrespondtothis goal(Baron&Szymanska,2011).Beforeexaminingthereasonsfor scopeinsensitivity,webrieflyreflectonsomenormativeaspectsof valuationsoflife.

1.1. Normativevaluationsoflives

Howshouldhumanlivesbevalued?Thisisacomplex ques-tionwhoseanswerdependslargelyontheadoptedphilosophical

http://dx.doi.org/10.1016/j.jarmac.2014.09.002

2211-3681/©2015PublishedbyElsevierInconbehalfofSocietyforAppliedResearchinMemoryandCognition.ThisisanopenaccessarticleundertheCCBY-NC-NDlicense (http://creativecommons.org/licenses/by-nc-nd/4.0/).

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Fig.1.Linearfunction.

viewpoint.Whatisconsiderednormativemaydependonseveral differentcriteriaandgoalspursued.Herewefocusontwo exam-plesofnormativeprinciplesthatcanbejustifiedwithegalitarian moralvalues andthegoalofgroupsurvival.Accordingto egali-tarianmoralperspectives(andvariousformsofutilitarianism),all livesshouldbevaluedequally(Baron&Szymanska,2011;Dickert, Västfjäll,Kleber,&Slovic,2012;Sinnott-Armstrong,2011).In addi-tion tothis moralprinciple, it is alsopossible to acknowledge thatlossesoflivesmaysometimesbesolargeastothreatenthe survivabilityofapopulation.Insuchcases,thevalueofeach addi-tionalendangeredlifeincreasesdisproportionally(Slovic,Fischoff, &Lichtenstein,1982).

Ifalllivesareinherentlyofequalvalue,onewouldexpectpolicy decisionstobefaithfultothisegalitarianmoralprinciple when-everpossible.1 Suchvaluationsarecapturedbyasimpleformula

inwhich thelevel ofresponse is givenby R=X×N,whereR is theaidresponse(measuredeitherinfinancialcontributions, vol-unteertime,volunteernumbers,etc.),Xistheresponseforone victim,andNisthenumberofvictims.Theresultinglinear func-tionisdepictedinFig.1andshowsthateachadditionallifeatrisk shouldincreaseresourceallocationtothesameextent.An under-lyingassumptionofthisvaluationfunctionisthattheefficiencyof lifesavingremainsconstantsuchthatsavinganadditionallifedoes notbecomecheaperifmorelivesareatrisk.Thisassumptionis reasonableinsituationsinwhichtheimpactofhowmuchan addi-tionaldollarcandotosavealifedoesnotchange(e.g.,ifthecost andeffectivenessofanadditionalvaccineorabowlofriceremains constant).

ThesecondnormativevaluationfunctionisillustratedinFig.2

andis linearuntil thenumberof livesat riskreachesa critical pointTatwhichthesustainabilityofthegroupisthreatened.After thispoint,thevalueofeachadditionallifeatriskincreases expo-nentially,whichcanbemodeledbyavaluefunctionofR=X×Nb,

withb=1forallN≤Tandb>1forN>T.Asthenumberoflivesat riskincreases,progressivelymoreaidisgiventoeachone.Both functionscanbeconsiderednormativebecausetheyrepresent val-uationsthatarebasedongenerallyacceptedmoralprinciples(i.e., equalityoflivesandsurvivalofthegroup).However,itshouldalso benotedthatotherpossiblenormativevaluationfunctionsexist. Forexample, ifthegoalis tosavea specificnumberof livesin ordertoreachacriticalthresholdneededforthesurvivalofagroup,

1Naturally,constraintsorcompetingobjectivesmaypreventpolicydecisionsto

alwaysfollowsuchaprinciple.

Fig.2.ExponentialfunctionwiththresholdT.

valuationsmightincreasesharplyuntilsuchthresholdisreached andthenleveloffordrop.2,3

1.2. Psychophysicalnumbing

Evidenceexiststhatvaluationsoflivesunderlyingaidresponses donotalwaysfollowsuchnormativemodels.Asthenumberoflives atriskincreases,peopletendtoexhibitvaluationsthat become progressivelyless sensitive tochanges in victim numbers. This diminished sensitivity to thevalue of life wasdocumented by

Fetherstonhaugh,Slovic,Johnson,andFriedrich(1997)byassessing individuals’willingnesstoaidgroupsofdifferentsizes.Inonestudy thatcomparedtheeffectofthesizeofrefugeecamps,participants statedthatitwouldbemorebeneficialtosave4500liveswhen thesizeofthecampwassmaller(11,000refugees)comparedto alargercamp(250,000refugees).Thissuggeststhatrespondents valuedsaving4500livesinthesmallercampmorethansavingthe sameamountwhenmoreliveswereatrisk.Ifeachindividuallife thatcanbesavedisvaluedtothesameextent(asproposedbya lin-earvaluationfunction),thenthesizeoftherefugeecampshouldnot makeadifference.However,theresultsbyFetherstonhaughetal. (1997)suggestthatparticipantswerelesssensitivetothenumber ofliveswhentheproportionwaslow(2%saved)comparedtohigh (41%saved).4

Inaccordancewithsimilarinsensitivitytochangesinquantity inthedomainofperception,Fetherstonhaughetal.(1997)termed thistypeofvaluation“psychophysicalnumbing”.Itcanbecaptured by themathematicalformula of R=X×Nb,withanexponential

coefficient0<b<1. Thediminishingsensitivity (with increasing quantity of a stimulus) gives rise to a distinct functional form whichdescribesvaluationsofseveraldomains,includingvisualand auditoryperception,thevalueofmoney,aswellasthevalueof humanlives(seeFig.3).Alsoknownasdiminishingmarginalutility amongeconomists(e.g.,vonNeumann&Morgenstern,1944)and

2Wewouldliketothankananonymousreviewerforthissuggestion. 3Anentirelydifferentphilosophicalapproachtonormativevaluationswas

sug-gestedbyTaurek(1977),whoassertedthattheutilityofsavingonelifecannotbe meaningfullyaddedtosavinganotherlife.Accordingtothisperspective,savinglives isnotautility-maximizingproblem.Instead,thewaylivesshouldbevaluedisto giveeachlifeatriskthesamechanceofsurvival,regardlessofhowmanylivesarein danger.Whengiventhechancetoeithersaveoneor50people,an“equalchance” entailsflippingacointodeterminewhoisbeingsaved.

4Althoughnotnormativeaccordingtoalinearvaluation,anexponential

normat-ivemodelcouldintheoryexplainthesefindingsifparticipantsperceivedtheaffected proportionofthesmallercamptobelargeenoughtothreatenthesurvivabilityof theentirecamp.

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Fig.3.Psychophysicalnumbingfunction.

depictedasaconcavevaluefunctioninprospecttheory(Kahneman &Tversky,1979),psychophysicalnumbingimpliesthatsavingan additionallifeisalwaysvaluedlessthanthepreviouslife(fora sim-ilarargumentseeAndreoni,2007).Thisinsensitivityisatoddswith thenormativemodelspresentedearlier.Avaluationpatternwith decreasingmarginalutilitycanbeappropriatefortypicalmarket goodsandisgenerallyconsideredrationalamongutilitytheorists. However,applyingtheconceptofdiminishingmarginalvalueinthe domainofhumanitarianaidcanleadtounwantedconsequences. Besidesvaluingeachadditionallifelessthanthepreviouslife,more weightisgiventosavinghigherproportionsratherthanahigher absolutenumberoflives.

Nonetheless,evaluatingthequalityofhumanitarianaidbythe proportionoflivessavedseemstoholdintuitiveappeal.Research onproportionalreasoningshowsthatpeoplecanpreferhelpinga largerproportionofvictimsevenifthismeanshelpingasmaller absolutenumber (Bartels, 2006; Bartels &Burnett, 2011). Fur-thermore,makingpeopleawareofthistradeoffdoesnotseemto changetheirpreferences.Onereasonforthis“proportion domi-nance”isrelatedtothefactthatproportionsareintuitivelyeasierto understandthanabsolutenumbers(e.g.,Slovic,Finucane,Peters,& MacGregor,2002).Indeed,proportionsassertstrongerinfluenceon valuationswhenthequantitytobejudgedisnotreadilyevaluable byitself(Hsee&Zhang,2010;Hsee,1996,1998),asisthecasefor valuationsoflives(Slovic,2007;Slovic,Zionts,Woods,Goodman,& Jinks,2013).Forexample,ahumanitarianaidinterventionprogram saving80%oflives atriskis clearlygood whereasan interven-tionprogramsavingaspecificabsolutenumberoflives(e.g.,80) isdifficulttoevaluatewithoutadditionalinformation(suchasthe groupsizeofallthatareaffectedorthenumberoflivessavedby anotherinterventionprogram).Proportionscarryinherent affec-tivemeaningthatinformsvaluationsbuttheycangiverisetoscope insensitivitywhenlargechangesinproportionsareneededto sub-jectivelyfeelthedifferenceandtakeaction.

1.3. Psychicnumbingandtheroleofemotionsinscope insensitivity

Psychophysicalnumbingdescribesthelackofscalingof human-itarianresponseswithrespecttoanincreasingnumberoflivesat risk.However,itcannotexplainsituationsinwhichpeoplefailto respondentirely.Thiscanbethecasewhenpeopleareconfronted withhumanitariancrisesthataffectlargegroupsofvictims(e.g., genocides,wars,orfamines).AnexampleisthegenocideinDarfur, whichhasevokedlittlepublicconcern.Thisisespecially problem-aticonthelevelofgovernmentinstitutionsandnon-government

Fig.4.Psychicnumbingfunction.

organizations.However,theseseeminglyuncaringresponsesare alsoevidentinjudgmentsanddecisionsmadebyindividuals.

Giventhegreatextentthathumansarecapableofcaringfor individuallives, it issurprising thatone shouldremainpassive andsilentwhenlargenumbersoflivesarethreatened.Itseems asthoughpeoplearenotabletomultiplythecaringtheyfeelfor oneindividualbythenumberofpeopleatrisk(Slovic,2010).Infact, beingconfrontedwithtoomuchsufferingcanleadtothecollapse ofcompassion,whichisresponsiblefortheinactivityinthefaceof largecatastrophes.Tomodelthisbreakdownofcompassion,Slovic (2007)hasproposeda“psychicnumbing”function,whichis pre-sentedinFig.4.Itfollowsafunctionalformsimilartoaninverse exponentialfunctionR=X×N−b,with0<b<1.Accordingtothis valuationmodel,humanitarianaidresponsesarelargestwhenonly fewlivesareatriskanddecreaseasthenumberincreases.This valu-ationmodelwasdevelopedtodescribeemotionalreactionstoward peopleinneed,howeversincepeople’swillingnesstohelpisoften basedonemotionsitcanalsoreflectaidresponses.

Tounderstandwhyandwhencompassioncollapsesintheface oflargevictimnumbers,itishelpfultolookathowpro-social emo-tionsare generatedaswellasregulated.Ampleevidenceexists thatemotionslikesympathyandcompassionarestrongerwhen itiseasytovisuallyattendtoormentallyimaginethevictims.For example,presentingvictimsaloneratherthanaspartofalarger groupusuallycreatesmorepro-socialemotions(Dickert&Slovic, 2009;Dickert, Kleber,Peters, &Slovic,2011;Dickert, Sagara,& Slovic,2011;Loewenstein&Small,2007;Slovic&Västfjäll,2010; Small, Loewenstein, &Slovic, 2007).This is especially the case whenthefocusisonidentifiedsinglevictimsversuslargegroups of victims(Kogut&Ritov,2005a,b, 2007; Slovic,2007). Neuro-scientific evidence shows that the emotional reward center of thebrain,thestriatum,wasmoreactivatedforidentifiedvictims (comparedtonon-identifiedvictims),andfurther,thatthis acti-vationpredictedhowmuch participantswerewillingtodonate (Genevsky,Västfjäll,Slovic,&Knutson,2013).Also,whenvictims are perceived as a coherent unit (Hamilton & Sherman, 1996; Smith,Faro,&Burson,2013)andphysicallyorpsychologicallyclose (Batson,1990;Loewenstein&Small,2007)usuallyprosocial emo-tionsarestronger.Sympathyisalsoeasiertoevokethroughsudden changes(comparedtolong-lastingeffects)inthewellbeingof oth-ers(Small,2010).Together,thisevidencesuggeststhatcontextual informationenhancesthegenerationofprosocialemotionswhen thisinformationhighlightsthepressingneedofafewidentified victims.

In situations where many people needhelp, prosocial emo-tions may not be sufficiently generated in the first place or

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regulateddowntoreduceempathicoverload(Cameron&Payne, 2011;Rubaltelli&Agnoli,2012).Someevidenceexiststhatother, sometimeshighly pertinentinformation hassimilardeleterious effects onthegeneration ofpro-socialemotionsand valuations of individual lives. For example, presenting information in the form of background statistics about the numbers of lives at risk can decrease people’s willingness to contribute to chari-tablecauses. Small et al. (2007) presented an identified single victimtogetherwithbackgroundstatisticsaboutageneral human-itarian aid crisis and found that financial contributions to the singlevictimdecreased compared towhen thevictimwas pre-sented withoutstatistics. These authorsargue that information aboutidentified single victimsis processed affectively whereas adding non-affective information such as background statistics leadstostrongerdeliberativeprocessingthatreducessympathetic responses.Theseexamplesalsoshowthattheeffectsofemotional valuationsarenotalwaysideal.Emotionsdirectattentiontowhatis consideredthemostpressingneed,buttheymayalsocreatescope insensitivity.Toomuchortoolittleemotionalinvolvementcanlead tofailuretoreactaswellascompassioncollapse.5

Itisquitepossiblethatvaluationsascribedtotheidentifiedand singlevictimeffects arealsorelatedtotheperceivedefficacyof potentialdonors.Someevidencesuggeststhatproportion dom-inancein charitablegiving is mediatedby theperceivedutility ofadonation(Erlandsson,Björklund,&Bäckström,2013). Appar-ently,savingahigherpercentageoflivesissometimesseenasmore useful.Asdonorsdoliketofeelthattheirdonationmakesa differ-ence,describinggeneralhumanitarianaidprojectsinmoredetail ledtoanincreasedwillingnesstodonateinCryder,Loewenstein, andScheines(2013).Conversely,situationsinwhichtheperceived efficacyofadonationisunderminedbycontextualinformation sug-gestingthathelpingresponsesarelikelytobefruitlessdecrease caringandprosocialaction.Researchhasshownthatinformation aboutothervictims (i.e.,thenumber of victimsthat cannotbe helped)cancreateastateofpseudo-inefficacywhichdemotivates helping(Västfjäll,Slovic,&Mayorga,submittedforpublication). Pseudo-inefficacyandcompassioncollapsecanexplainwhyand whenvaluationsbecomescopeinsensitiveand followapsychic numbing function. In a recent study, participants’ compassion towardchildreninneeddecreasedassoonasmorethanonechild wasindanger(Västfjäll,Slovic,Mayorga,&Peters,2014).Thisisin linewiththenotionthatbothemotionalreactionsandperceived efficacyaregreatestwhenonlyfewlivesareatrisk,whichcanlead toanintuitivepreferenceforlifesavinginterventionsthatbenefit smallergroupsofaffectedpeople.

1.4. Valuationpreferences

Weconductedasmallstudytoexamineifpeoplehave system-aticpreferencesforspecificvaluationfunctionsandwhetherthis dependsonhowthevaluationpreferencesareelicited.Thestudy wasnotdesignedtotestwhich valuationfunctionisbestinall kindsof situationsand underallpossiblecircumstances.Itwas designedtoprovideasimpleexampleofhowstatedpreferences forvaluations canbedisconnected fromactualchoicebehavior inlifesavingcontexts.Asthenatureofnormativeanddescriptive valuationmodelsisofspecialinterestforpublicpolicydecisions, wewantedtoseewhetherpreferencesofindividualpeoplecan bereverseddependingontheelicitationmethod(Lichtenstein& Slovic,2006).Specifically,weaimedtotest(1)whetherspecific valuationfunctionsarepreferredoverotherswhenusingratingsas elicitationmethod,(2)whichfunctionpeoplewouldchoose,and(3)

5SeeGrantandSchwartz(2011)forasimilarargumentonvariouspsychological

constructsthatfollowanon-monotonicinverted-Ushape.

whichvaluationfunctionbestdescribesactualallocationsbyNGOs andgovernmentagencies.Finally,wegaveparticipantsachoice scenarioinwhichtheycouldchoosetosaveahigherproportion ofvictimsversusalargernumberofvictimstoseewhethertheir revealedpreferenceswouldmatchtheirstatedpreferences.

In the study,we asked participants(n=41; Mage=22.9;68%

female)recruitedfromtheUniversityofViennatoimagineworking foracharitableorganizationandbeingresponsibleforthe alloca-tionoffundsinanAfricanvillagefacingaseverefoodshortage. Participantsweretoldthattheycoulddistributeamaximumof 5000donatedEurosandthat100peopleliveinthevillage.The distributionofdonationscanfollowoneofthreedifferentplans (ProgramsA–C).In awithin-subjectsdesign,wethenpresented threedifferentvaluationmodelstoallparticipantswhichdepicted functionssimilartothosepresentedinFig.1(ProgramA:linear val-uations),3(ProgramB:psychophysicalnumbing),and4(Program C:psychicnumbing).Thedetailsofeachvaluationfunctionwere explainedunderthefigures(e.g.,valuationsincreaseataconstant rateinFig.1,increaseatadecreasingrateinFig.3,anddecreasein

Fig.4;fordetailsseeAppendixA).Foreachfunction,participants ratedhowmuchtheyagreedthatthedonationmoneyshould gen-erallybedistributed asdepictedin thefigures (onascale from 1=do notagree atallto7=agree verymuch), whichwe inter-pretedastheir“normativepreferences”.Nextweaskedparticipants tochooseoneofthesefunctionsastheirpreferredoptionto dis-tributethedonationmoney,whichweinterpretedastheirstated “subjectivepreference”.Afterthat,participantsjudgedhow dona-tionsareactuallyallocatedinsuchacontext,whichweinterpretas “judgedallocations”.Finally,wepresentedthesameparticipants withadifferentdecisionscenariounrelatedtothefirstinwhich theywereaskedtochoosebetweentwocharitableprograms pro-vidingfoodtopeopleinneed.“ProjectA”providedfoodfor102 outof115peopleatriskofstarvation,whereas“ProjectB” pro-videdfoodfor 105out of247peopleat riskof starvation.This taskfollowedthetypicalformatofproportiondominancestudies (e.g.,Bartels,2006;Fetherstonhaughetal.,1997),andassumesthat thecostforbothprogramsisthesame.Alinearvaluationfunction shouldfavorProjectB,sincesaving105livesisbetterthansaving 102.

Arepeatedmeasuredanalysisofvarianceshowedthat partic-ipants’normativepreferencesdifferedsignificantlybetweenthe valuationfunctionsF(2,80)=46.3,p<.001,2

p=.537.Ascanbeseen

in Fig. 5,preferences were higher for thelinear function com-paredtothepsychophysicalandpsychicnumbingfunctions.Also, toindicatetheirsubjectivepreferenceparticipantschosethelinear functionsignificantly moreoftenthan thepsychophysical func-tion,X2 (1,N=41)=10.8,p=.001(andnoonechosethepsychic

numbingfunction;seeFig.6).Whenaskedwhichfunctionbest describesactualallocationsbyNGOs, participants’choices were alsonotequallydistributed,X2(2,N=40)=5.2,p=.076.Specifically,

inthis casemostparticipantsselectedthepsychophysical func-tion.Lastly,theresultsofthesecondchoicescenariobetweenthe twocharitableprojectsindicatedthatmostparticipantspreferred theprojectwhichsavedthehigherproportion,X2(1,N=36)=4.0,

p=.045(seeFig.7),whichisconsistentwiththepsychophysical function.

Theseresultssuggest that,onaverage,although participants preferalinearvaluationfunctionwhenaskedabouttheir normat-iveandsubjectivepreferences,theydonotnecessarilyapplythese preferenceswhengivenachoicescenarioinwhichsavingahigher proportionispittedagainstsavingahighernumberofvictims.This proportionalresponseisconsistentwithpsychophysicalnumbing andislikelydrivenbytheintuitiveappealofproportiondominance (i.e.,helpingalargerproportionfeelsbetter)andtherelative insen-sitivityofsaving105versus102lives.Theresultsofoursmallstudy serveasademonstrationofhowstatedpreferencesarenotalways

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Fig.5. Normativepreferences(ratings).Errorbarsdenotestandarderrorsofthe mean.

connectedtochoicesinlifesavingcontexts,evenwhenbeingaware ofthedifferentvaluationfunctions.Insituationswheremorelives andmoremoneyareatplay,adivergencebetweenvaluationsand choicescouldfailtoaccomplishthegoalofsavingasmany peo-pleaspossible.Oneofthequestionsthatresearchneedstoanswer regardingresultssuchastheseishowpeoplecanbemademore scopesensitive(i.e.,morelinearintheirvaluations).

1.5. Waystoincreasescopesensitivity

Suggestions to increase scope sensitivity may be based on improvingdecisionmakers’affectiveresponsesaswellasengaging appropriatedeliberativeresponses.Notethataffectiveresponses anddeliberationshouldnotbeseenascompletelyseparatemental processesforthispurpose,asincreaseddeliberationcanalsolead tostrongeraffectiveresponsesandviceversa.Althoughprosocial emotionsarebounded(i.e.,onecannotfeellimitlesscompassion;

Batson,1990;Batson,O’Quin,Fultz,Vanderplas,&Isen,1983),it ispossibletoraise emotionalconcernfor victimsoflarge-scale catastrophesbyvivid descriptionsofaffectedsingleindividuals.

Fig.7. Preferencesforlifesavingprojects.

Narratives,personalstoriesofvictims,andvisualimagesgenerally motivatehelpingresponsesmorethanusingabstractnumerical figures.Whenfacedwithlargenumbersthataredifficultto men-tallyrepresent,peoplemaysometimesimaginearepresentative and more vivid prototype that keeps their emotions engaged (Kahneman&Frederick,2005).Whilesomeevidenceexiststhat affect-rich stimuli tend to decrease scope sensitivity (Hsee & Rottenstreich,2004;butseeGong&Baron,2011),inthecontextof lifesavingitmightbeusefultoenhanceaffectiveprocessing. Emo-tionsbasedonmoralintuitionscanbeagoodguideinvaluations whenonlyfewlivesareatrisk,andiftheseintuitionsdonotscale upwellotherstepsneedtobetakentokeepemotionsaroused whenmanylivesareatrisk(Slovicetal.,2013).

Otherattemptstoincreasescopesensitivityarebasedonmore carefuldeliberationandreflection.Thisshouldespeciallybethe casefor publicpolicydecisionsthat arecomplexanddeal with multipleconflictingobjectivesbesideslifesaving.Perhapsthemost directwayofcounteractingscopeinsensitivitycouldbetoincrease individualandpublicawarenessofitsexistenceandinfluenceon decisions.However,itislikelythatmerelyinformingpeopleabout thenegativeeffectsofintuitivevaluationsongivingisnotsufficient.

Smalletal.(2007)foundthat debiasingparticipantsby inform-ingabouttheidentifiedvictimeffectactuallydecreaseddonations to theidentified victim rather than increase donations toward unidentifiedstatisticalvictims.Anotherwaytoengagedeliberative

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processeswouldbetomakethenumbersoflivesatriskmore evalu-able(Slovicetal.,2013).Thiscouldincludepresentingcomparative statisticsofvictimnumbersaswellasthepredictedimpactofa humanitarianaidintervention.Statisticscanbebroughttolifeby makingthemmoredescriptive,splittingnumberof victimsinto women,children,elderly,victimsofassault,etc.Amoreindirect waytoincreasescopesensitivityisbasedonthefactthatpeople liketobeconsistentintheirevaluations(Ariely,Loewenstein, & Prelec,2003),whichcanleadtoamoredeliberativeapproachto valuationsbymeansofcalculations.Forexample,Hsee,Zhang,Lu, andXu(2013)proposethatinitialscopeinsensitivitycanbeturned intoscopeconsistencybyfirstaskingaboutvaluationsofasingle lifeandthenaboutvaluationsofmultiplelives.Providinga valua-tionforonelifecanleadpeopletorealizethattheirvaluationforN livesisnotlinearandcorrectforthisbyincreasingtheirvaluations. Anotherrecentapproachfoundthatwhilepeopleareinsensitive tothenumberoflivesatrisk,theymaynotbeasinsensitiveto thenumberoffatalitiesthathavealreadyoccurred(Evangelidis& vandenBergh,2013).Thiscouldimplythatthenumberoffatalities informsdecisionmakersabouttheseverityofthehumanitarianaid crisismorethanthenumberoflivesatriskdoes.

Atthedecision-makinglevelofgovernmentagenciesandNGOs, otherinstitutionalchangesandrationalorganizationalstructures mayalsoincreasescopesensitivityandhelptoavoidfallingpreyto thelimitsofmoralintuitionswhenmanylivesareindanger.Public policyismorethanasimplereactiontowardissuesrelatedtorisks. UsuallygovernmentagenciesandNGOshavetochoosebetween manydifferentcoursesofactionandevaluatedifferenttradeoffs, allofwhichshouldbedonereflectively.Forexample,organizations canmakeuseofcost-benefitanalysesorimplementathreshold modelwhichautomaticallytriggersactionwhenaspecific num-beroflivesareatrisk(Slovicetal.,2013).Itisnotalwaysclear, however,howcostsandbenefitsshouldbemeasured,calculated andweightedindecisions.Possiblecostsincludemoney,time,the livesofrescueworkers,internationalpoliticalconsequences,and othernegativeimplicationsof(in)actions.Benefitsinclude(among others)theimprovementinnutrition,healthandsafety,and gen-eralstandardofliving.6Ifvaluationsofthesedimensionsaredone

adhocandintuitively,theymaybeinconsistentandbiased(e.g.,

Kahneman,Slovic,&Tversky,1982).Requiringofficialstogive rea-sonsforinactionaswellasactioninthefaceofhumanitariancrises wouldencourageamorereflectiveapproachtopublicpolicyand couldreducetheseinconsistencies.Decisionanalysisandusinga consequencematrixforclarifyingtheinterventiontradeoffscould alsobeausefultooltoreachthisgoal(Slovic,Västfjäll,&Gregory, 2012).However,calibratingtherightlevelofaidresponsesis a particularchallengeforpublicpolicy.Someevidenceexiststhat althoughknowledgeandcommitmenttoproblemswithina par-ticulardomaincanreducebiasesinvaluations,itmaynotincrease scopesensitivity(Markowitz,Slovic,Västfjäll,&Hodges,2013).

Adecisionstrategythatcanpotentiallyhelporganizationsavoid aninefficientallocationoffundsforcharitableprojectswouldbeto usetheaverageimpact(i.e.,benefit)aswellasthemarginalbenefit ofeachadditionaldollarinvested(Baron&Szymanska,2011).Ifthe goalistohelpasmanypeopleaspossible(orincreasewelfaretothe maximumextent),thevaluationoflivescanbecapturedasa util-itymaximizingproblemwithintheframeworkofmostformsof utilitarianism.Accordingtothisperspective,toassurethatfunds areusedinthebestpossiblewayorganizationsshouldusethem tomaximizethewelfareofallpeopleaffected.Humanitarianaid projectsthathelpmorepeopleatthesameorlowercostofless

6Thetradeoffbetweencostsandbenefitsobviouslyincludesmanymore

dimen-sions.Forexample,age,income,andnationalitymayalsobeconsideredwhen decidinghowtoallocatefundingtopeopleinneed(e.g.,Lietal.,2010).

efficientprojectsshouldthereforebepreferredbecausetheyhave ahigheraverageimpact.Conversely,theideaofusingthemarginal benefit per additional dollar invested is based onthe observa-tionthatcharitableorganizationsandprojectshavespecifictarget fundinglevels,atwhichtheavailablefundsareusedoptimally. Additionalfundingmightdomoregoodinprojectsororganizations thathavenotreachedthisoptimallevel.

2. Concludingremarks

Inthis article,we presentedfourdifferentwaystovaluethe livesofothersandarguedthatintuitivevaluationscanleadtoscope insensitivity,whichrepresentsadeviationfromnormative valua-tions.Animportantassumptioninthisdepictionofvaluationsis thattheyunderlieand guidedecisionsregardingthewelfareof others.Itispossible,ofcourse,thatvaluationsoflifearenotalways reflectedintheamountofhelp(i.e.,money,food,medicine, educa-tion,etc.)giventopeopleinneed.Moreover,animplicitassumption inmostresearchontheeffectsofvictimnumbersondonationsis thattheeffectivenessofanadditionaldollarspentremains con-stantregardlessofthetotalnumberofpeopleinneed.Itislikely thatthisisnotalwaysthecase.Forexample,iffundingisusedto buildawelltoprovidecleanwater,theeffectivenessofthe spend-ingdependsonhowmanypeoplebenefitfromit.Also,certaincosts remainfairlyconstantregardlessoftheamountofpeopleinneed (e.g.,thetransportationcostsoffoodforoneorone-hundred peo-ple).Inordertoefficientlyallocateresources,charityorganizations andinstitutionsneedtoconsiderthesefixedcostsintheir calcu-lationsofhowmuchalifeisworthtothem.Indeed,thevaluation oflivesisonlyoneconsiderationinresponsestorisk(Fischhoff, Lichtenstein,Slovic,Derby,&Keeney,1981).Someevidenceexists thatpeopletendtoevaluateprogramstosavehumanlivesbytheir cost-effectiveness(e.g.,thenumberoflivessavedpermoneyunit), butonlyifthisdimensioniseasytoevaluate(Caviola,Faulmüller, Everett,Savulescu,&Kahane,2014).

Whenonlylookingatthenumbersofaffectedpeople,itis diffi-culttounderstandwhysomehumanitariancatastrophesgeneratea greateraidresponsethanothers.Forexample,in2010the human-itarianaidresponse intheaftermathoftheearthquakein Haiti (which affectedan estimated3 millionpeople) wasmore than 3billiondollars.In thesame year,theflood inPakistan(which affectedanestimated20millionpeople)receivedonly2.2billion dollars(GlobalHumanitarianAssistance,2013).Thevaluationofa singlelifewas10timeshigherinHaitithaninPakistan.Itis,of course,possiblethataidinPakistanwasmoreavailableandmore efficientinhelpingaffectedpeoplethaninHaiti,whichcautions againstusingonlythevolumeoffinancialcontributionsasaproxy forvaluations.

Perhapslikefewotherdecisionmakingdomains,thevaluation oflivesisinherentlyintertwinedwithissuesofmorality, norma-tivityandrationality.Thesevaluationsareoftenguidedbymoral intuitionswhichare,inturn,influencedmorebyemotionsrather thanrationalconsiderations(Haidt,2007).Inthespecificcaseof valuationsunderlyingpublicpolicydecisions,onewouldexpect that each individuallife at riskshould begiven thesame con-siderationand value,whichis a moralprincipletowhich most individualsinwesterncountrieswouldprobablyagreeto. Nonethe-less,intuitivetradeoffsandthelimitsofmoralintuitionsunderlying scopeinsensitivityin lifesavingcontextscanoftenleadto non-normativeandirrationalvaluations(Reyna&Casillas,2009).We wouldalsoliketopointoutthatdeviationsfromnormativemodels canpresentaparticularproblemforpublicpolicywhenithasto jus-tifythereasonsforallocationdecisionstothepublic.Itisnotalways clearwhichnormativestandardsshouldguidedecisions,though. Forexample,itispossibletoargueforproportiondominanceto

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Futureresearchshouldaimatgeneratingabetter understand-ingofthereasonsandmechanismsofscopeinsensitivityandways toreduce it.Thesearchfor scopesensitivitycouldlookat how tradeoffsbetweenlivesandmoneyaredoneincomplexpublic pol-icydecisionsregardingthewelfareofothers.Oneinterestingway forwardwouldbetomodeltheaffectiveandcognitiveprocesses underlyingsuchvaluations.Giventhelinktoperceptualtheories

Conflictofinterest

Theauthorsdeclarenoconflictofinterest.

AppendixA. Materials

Instructions:

Pleaseimaginethatyouworkforacharityorganizationandare responsiblefordistributingdonationsinavillageinAfricainwhich 100peoplelivethatfaceaseverefoodshortage.Youhaveupto5000 Eurosavailablebutdonotexactlyknowhowmanyofthe100 peo-pleareaffectedandneedhelp.Threeprogramstocombatthefood shortageareavailable(ProgramA–C).Theydifferintheamount ofmoneydistributeddependingonhowmanypeopleareatrisk ofstarvation.Yourtaskistochooseoneoftheseprograms.Each ofthemwillalleviatethehungeroftheaffectedpeople(although notnecessarilytothesameextent)andcostsdifferentamountsof money,dependingonthenumberofpeopleinneedofhelp.

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ProgramA(Fig.1):

Heredonationswillbedistributedinawaysuchthattheamount increasesataconstantratethemoreneedypersonsexist.

ProgramB(Fig.3):

Heredonationswillbedistributedinawaysuchthattheamount increasesthemoreneedypersonsexist,butatadecreasingrate.

ProgramC(Fig.4):

Heredonationswillbedistributedinawaysuchthattheamount ishighifonlyfewneedypersonsexistbutdecreasesoverallifthe numberofneedypersonsincreases.

Pleaseindicatehowmuchyouagreetoeachofthese statements:

Donot agree

Agreevery much 1.Donationsshouldgenerallybe

distributedaccordingtoProgramA

1 2 3 4 5 6 7

2.Donationsshouldgenerallybe distributedaccordingtoProgramB

1 2 3 4 5 6 7

3.Donationsshouldgenerallybe distributedaccordingtoProgramC

1 2 3 4 5 6 7

Ifyouhadtochooseoneoftheseprojects,whichonewouldyouchoose?

OProgramA OProgramB OProgramC

Inyouropinion,whichoftheseProgramsdescribesactualallocationofdonationsbyNGOsintheabovesituationbest?

OProgramA OProgramB OProgramC

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