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Self-deceptionasself-signalling:amodelandexperimentalevidence
ⅠIntroductionSelf-deception▶Anydefinitionofself-deceptionislikelytobecontroversial.▶Wecanstartwithanactualincident:Itwassherryhour,acasualgatheringofafewdoc-toralstudents,allgoodfriends.Aveteranstudentassertedthatshewouldcompleteherdissertationwithintheyear.‘Areyoukidding,you’renevergoingtofinishit,’remarkedanotherwithasmile.Thecommentwasnotunjust;thestudenthadnothingtoshowforsomehalfdozenyearsintheprogramYet,ithitthemarkabittoowell,andinaninstantitsauthorfoundhimselfwipingthecontentsofafullglassofsherryfromhisfaceandshirt.Howtointerpretateit?Self-deception▶Therearetwointerpretations:
•Onecouldtakethestudent'sclaimatfacevalue:sheisconvincedthatthedissertationwillbecompletedonschedule,allevidencetothecontrary.
•Onasecondinterpretation,thestudentunderstoodverywellthatherscholarlyprospectsweredim.Yet,almostasamatterofpersonalritual,shefeltcompelledtostateacontrarybelief.Belief▶wecanprensentaformaltheoryofself-deceptionthatreliesonasinglepsychologicalmechanism---self-signalling.Thetheorydistinguishesamongthreelevelsofbeliefs:deepbelief
,statedbeliefandexperiencedbelief.▶Self-assessmentscannotaffectactualperformance,butcanaffectthesubjects'expectationsofwinningthecontest,leadingpotentiallytoself-deception.ⅡBackgroundSomeviews▶Aself-deceivedindividual(i)holdstwocontradictrybeliefs,pandnot-p(ii)holdsthemsimultaneously(iii)isunawareofholdingoneofthebeliefs(iv)ismotivatedtoremainunawareofthatbelief
Twoparadoxes•Thestaticparadoxconcernsthestateofmindoftheself-deceivedindividual:howcanheholdtwoincompatiblebeliefs,pandnot-p?•Thedynamicparadoxconcernstheprocessofbecomingself-deceived:howcanapersonintentionallyacquireabelieforremainunawareofabelief?Self-deservingbias▶
mostpeopleratethemselvesassuperioronvirtuallyanydesirablecharacteristic
Self-servingbias
▶Subjectswerefirstaskedtokeeptheirhandsubmergedinacontainerofcoldwateruntiltheycouldnolongertoleratethepain.Thiswasfollowedbyadebriefing,whichexplainedthatacertaininbornheartconditioncouldbediagnosedbytheeffectofexerciseoncoldtolerance.Theconsequencesofthisconditionincludedashorterlifespanandreducedqualityoflife.Somesubjectsweretoldthathavingabadheartwouldincreasecoldtolerance,whiletheothersweretoldtheopposite.Havingabsorbedthisinformation,subjectsrepeatedthesamecoldwatertolerancetest.Themajorityshowedchangesintoleranceonthesecondcoldtrialinthedirectioncorrelatedwith'goodnews'
ⅢSelf-deceptionasself-signallingSomethingweneedtoknow
(i)thatsinceredeniers(intheQuattrone–Tverskyexperiment),duetoadesiretolivealong,healthylife,weremotivatedtobelievethattheyhadahealthyheart(ii)thatthismotivation(inconjunctionwithabeliefthatanupward/downwardshiftintolerancewouldconstituteevidenceforthefavouredproposition)ledthemtotrytoshifttheirtolerance(iii)thatthismotivationalsoledthemtobelievethattheywerenotpurposelyshiftingtheirtolerance
Threewaystomodelself-deception
•adjusttheBayesianmodelofbeliefformation•treattheindividualasaseriesoftemporalselves,withearlierselvesmanipulatingthebeliefsofthelaterselves•addpsychologicalstructurebypartitioningthedecisionmakerintoseveralsimultaneouslyinteractingentitiesSelf-signallingmodelθrep-resentthischaracteristic,withindicatingitsactualvalue.xapossibleoutcome,andu(x,θ)theutilitygeneratedbytheoutcomexintheabsenceofanychoice.Uncertaintyaboutθisdefinedbyaprobabilitydistributionp(θ),whichmaybetakenasthecurrentself-imagewithrespecttothischaracteristic.Thevalueoftheself-imageis,inturn,determinedbyasecondfunction,v(θ),whichindicateshowmuchpleasureorpainapersonwouldfeelfromdiscoveringtrueθ
Self-signallingmodel
▶diagnosticutility
anactionleadstoanupdatingoftheself-image,fromp(θ)top(θ|x).Thechangeinself-imagegeneratesasecondformofutility,calleddiagnosticutility:Example:coldwaterexperimentuwouldcorrespondtocoldsensitivity,u(x,u)tothe(dis)pleasureassociatedwithxsecondsofexposuretocoldwaterincontextoftheexperimentalinstructions,andv(u)torelieforanxietyassociatedwithdiscoveringone’scoldsensitivitylevel.Thetotalutilityofchoosingtoholdone’shandincoldwaterforxsecondswouldthenbethesumofoutcomeanddiagnosticutility:
Self-signallingequation
inaself-deceptionscenario,whatisatstakeisadesireddeepbelief,e.g.thatone’sspouseisnothavinganaffair.Ahusbandmayrecog-nizecertainproblematicpiecesofevidencebutremainunsureabouthisownreadingofthem.Self-signallingisextendedtosuchcasesbytreatingone'sinterpretationofevidenceastherelevantinaccessiblecharacteristic.Formally,istheprobabilityofeventS,andu(x,u)anexpectationovertheseevents:Ⅳ.TWOMODESOFSELF-DECEPTIONTwoparadox:thestaticanddynamicparadoxesofself-deceptionThestaticparadox:howcanheholdtwoincompatiblebeliefs,pandnot-p?Thedynamicparadox:howcanapersonintentionallyacquireabelieforremainunawareofabelief?Thestaticparadox:howcanheholdtwoincompatiblebeliefs,pandnot-p?Threelevelsofbelief:Deepbeliefisassociatedwiththeinaccessiblecharacteristic,whoseactualvalueis.Statedbeliefisassociatedwiththesignallingactionx,whicheitherdirectlyorindirectlyexpressesbelief.Experiencedbeliefisassociatedwiththeself-inferencethatfollowsthestatement,..Thedynamicparadox:howcanapersonintentionallyacquireabelieforremainunawareofabelief?
Howisderivedfromthechoiceandfromp(θ)?Twomodesofself-signalling:Face-valueruleRationalruleFace-valueruleFace-valueruleassumesthattheinferentialmechanismoperateswithoutawarenessofdiagnosticmotivation.Theupdatedinferences,,arethenbasedontheassumptionthatanactionrevealsthecharacteristicthatmaximizesonlytheoutcome-utilitycomponentoftotalutility,ignoringthediagnosticcomponent.impliesu(x,θ)>u(y,θ)Totalutility=outcomeutility+diagnosticutilityRationalrule
mustthenfullyreflectthefactthatactionsaremotivatedbytheanticipatedinferencesthatflowfromthem.impliesV(x,θ)>V(y,θ)Thesignallingvalueofanostensiblyvirtuousactionistherebyreduced,or‘discounted’fordiagnosticmotivation.Totalutility=outcomeutility+diagnosticutilityHowthemodelresolvesthedynamicparadoxofself-deception?Withface-valueinterpretations,self-deceptionifattemptedalwayssucceeds.Rationalinterpretationsleadtoadiscountingofself-deceptiveactionsandstatements.Conclusion:ThefunctionofthepositivestatementisnottoconvincebutmerelytopreserveuncertaintyaboutdeepbeliefsⅤ.Aself-deceptionexperimentIssueofcost&ThelinkbetweenSelf-signallingimpliesthatifthedesireforgoodnewsisstrongenough,itwillbiasinterimassessmentsevenifsuchbiasingreducesoverallchancesofachievingthelong-rungoal.(a)ProcedureThesubjectswere85studentsatPrincetonUniversity.Phase1:Seeaseriesof100KoreancharactersonthecomputerscreenFollowingthepresentationofeachcharacter,theywereaskedtoclassifyitasmore‘male-like’or‘female-like’inappearanceFollowingeachclassification,theyalsoratedtheirconfidenceonafivepointscale.CorrectanswerPhase2:Atthebeginningofeachtrial,beforethesignwasdisplayed,subjectswereaskedtoanticipate(bypressingtheMorFkey).Subjectsencounteredthesamesetofsigns,inadifferentorder.Seeaseriesof100Koreancharactersonthecomputerscreen.Classifyitasmore‘male-like’or‘female-like’inappearanceRatetheirconfidenceonafivepointscale.BonusInphase1
andphase2,eachcorrectresponse(anticipationandclassification)wascreditedwith$0.02,withthetotalonlyrevealedattheendoftheexperiment.
Insummary,asubjectwhosomehowmanagedtorespondwithperfectaccuracywouldreceive$2inphaseI,and$4inphaseII($2forthe100perfectanticipationsand$2fortheperfectclassifications).AdditionalbonusIntheclassificationbonusgroup,thebonuswasreservedforthetopthreesubjectsaccordingtoex-postclassificationaccuracyinphaseII.Intheanticipationbonusgroup,itwasreservedforthetopthreesubjectsaccordingtoanticipationaccuracy.ReviewTwoparadoxAself-deceptionexperimentBonus:anticipation($0.02)andclassification($0.02)
classificationbonusgroup($40)
&anticipationbonusgroup($40)
Phase1:SeeaKoreancharacter+Classifyit+RateconfidencePhase2:Anticipate+SeeaKoreancharacter+Classifyit+Rateconfidence(b)PredictionsThepayoffmatrixfortheclassificationresponse,followingananticipationthatthesignwillbemale.Therewardforcorrectclassificationisc,whiletherewardforcorrectlyhavinganticipatedthatthesignwillbemaleisa.Thetermsaandcincludeboththe$0.02piece-ratepaymentforaccuracyandanysubjectiveimpactontheexpectationofwinningthe$40bonus.Intheclassificationbonuscondition,thebonusincreasesthevalueofc,whileintheanticipationbonuscondition,itincreasesthevalueofa.Giventheseincentives,theself-signallingequationderivestheutilitiesforthetworesponsesAreasonablesimplification:indicateingthatthesubjectwillcategorizethestimulusasmaleifDiscussionaboutself-deceptionasself-signallingFace-valueinterpretations:Ifsubjectclassifiedthestimulusasmale,thismustmeanthatsheindeedbelievesdeepdownthat,whichistosaythat.ThisimpliesthatWithrationalinterpretations,becauseawarenessofdiagnosticmotivationdiscountsthesignal;thesubjectappreciatesthatthereisnowalowerbarθ*<0.5forclassifyingthesignasmale,andconsequentlythat.However,discountingpreservesthebasicdirectionalimplication,namely,thatamaleclassificationprovidespositiveinformationthatthesignwasinfactmale,i.e.Discussionaboutself-deceptionasself-signallingWitheitherface-valueorrationalinterpretations,thediagnosticutilityofamalecategorization,followingamaleanticipation,shouldbepositive.Themodelthuspredictsthatanticipation-confirmingclassificationswillincreasewithanticipationincentives(a).(c)ResultsC1:aninitialclassificationinphase1R1:aconfidenceratingfollowinginitialclassificationinphase1
A:ablindanticipationinphase2C2:asecondclassificationfollowinganticipationR2:aconfidenceratingfollowing
secondclassificationinphase2FourtypesoftrialsConsistentpattern:C2=A=C1Honestpattern:C2≠AandC2=C1Self-deceptivepattern:C2=A≠C1Inconsistentpattern(baseline):C2≠A=C1First,theproportionofself-deceptivepatternsisgreaterthantheproportionofinconsistentpatterns,whichdefinetheerrorbaseline.Second,thisimpactofanticipationsisgreaterintheanticipationbonuscondition,relativetotheclassificationbonuscondition.Theimpactofincentiveconditiononself-deception.Percentofinconsistentpatternsgivesthebaselineforassessingself-deception.Themajorityofsubjectswithstrong-deceptioncomefromtheanticipationbonuscondition.Theovalsareapproximate(greencircles,subjectswith$40classificationbonus;redcircles,subjectswith$40anticipationbonus).AregressionofC2againstC1andA
Intheclassificationbonustreatment,53percentofsubjectsaresignificantlyself-deceptiveatthe0.05level,and27percentatthe0.001level;Intheanticipationbonuscondition,73percentofsubjectsaresignificantlyself-deceptiveatthe0.05level,and45percentatthe0.001level;Comparingtreatments,thedifferenceinproportionsissignificant(p<0.02forp=0.05cutoff,p<0.08forp=0.001cutoff).Thehighself-deception(SD)group:subjectswithself-deceptionatthe0.001levelThemoderateself-deception(SD)group:thosewithself-deceptionatonly0.05levelTheaverageaccuracyatC1(accordingtothepeergroupanswerkey)increasesfrom61.5to63.2and66.2percentforthenon-,moderateandhighSDgroups.AtC2,theaverageaccuraciesare62.3,63.8and62.8percent.ThehighSDsubjectsexhibitgreatermotivationwiththetaskinitially,buttheiradvantagedisappearsinthesecondphase,asresultofself-deception.(d)Whatpsychologicalbenefitsareobtainedforthereductioninobjectiveaccuracy?Accordingtoself-signallingtheorythereisadiagnosticutilitybenefit,whichwecannotmeasuredirectlybutwhichshouldberevealedthroughtheconfidenceratingsthatfolloweachclassificationresponse.Aappropriateindicatorofdiagnosticutilityisthedifferencebetweenthe
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