Vernik,Purohit,andDesai:MusicDownloadsandtheFlipSideofDRM
MarketingScience,ArticlesinAdvance,pp.1–17,©2011INFORMS
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whoisindifferentbetweenbuyingthetraditionalver-sionandtheDRM-restrictedversionisexactlythesameasxHintheHsegment.7ThelocationoftheLconsumerwhoisindifferentbetweenstealingadigitalversionandpurchasingaDRM-restrictedver-SB
sionisderivedbyequatingURD x =URD x ,whichyieldsxL= pRD eM+ /eT.BecauseweonlyhavetoconsidertheLsegment’smoralcost,wesimplify
L
ingback-wardinduction,we rstsolvetheretailers’andthentherecordlabel’soptimizationproblems,yieldingtheers.The lemaynotbeermissions@.
albuminthedownloadableformatthroughtheInter-netretailerandinthetraditionalformat(CD)throughthetraditionalretailer.
TherecordlabelownsthecopyrightandchooseswhetherornottosellthedownloadableversionwithorwithoutDRMrestrictions.Therecordlabelalsochoosesawholesalepriceforeachversionthatitsells:wTforthetraditionalversionandwDforthedown-loadableversion.Eachretailertakesthesewholesalepricesasgivenandchoosesitsretailprice.Althoughtherearetwosegmentsofconsumers(highandlowbpircotpiratingsbulabeleffort),neithertheretailersnortherecordycsiloingeffort.
canidentifyconsumers’locationsortheirpirat-optesilbh2.4.SequenceofEvents
taligThenvaiadstage,gamereamusictheisrecordplayedlabelinthreechoosesstages.theDuringformatstheof rstdgaethermsretailersformatsalbumitfordecidessaleandtosell.thewholesalepricestheforsnioconsumerssetproductmaximizetheirretailInthenextstage,theutilitypricesbysimultaneously.choosingFinally,ihtsciehuwqof,ygame.
subgame-perfectavailableintheNashmarket.equilibriumWeadopttheoptimaltothesolvenotionthennoaisrdnvee3.
seWeEquilibriumPricesandSales
censaandbeginvaedlrecordsalesourvolumeanalysisseparatelybyderivingequilibriumpricesAPDRM-restrictedlabelsellsfortwocases:(1)thene.ititheformats,thealbuminthetraditionalandsseloadablealbumand(2)therecordlabelsellslc’sritowhichformats.inthetraditionalandDRM-freedown-rAhturium.saihanalyzeComparingofthesetwoSubsequently,caseswouldinemerge§4,weinanalyzeequilib-teohpiracytheimpacttheseofDRMtwoprotectioncasesalsoonallowsthelevelustottdistributionandthechannel.pro tability6
ofvariousplayersintheoftghngiidryul3.1.SellingTraditionalFormatand
pconiDRM-RestrictedDownloads
cse,Indtilosrestrictedthiscase,hbeindownloadableretailerDsellsthealbumintheDRM-SwMrpiratingthetraditionalformat.formatIntheHandsegment,retailertheTsellscostitRehsumersOtFoerschooseishighbetweenenoughbuyingtopreventmusicpiracysothatcon-ofNyIning(seeFigure1).IntheLsegment,thefromcosttwoofretail-pirat-a:tbuyingislowhngocopyfrommusicenoughthefromsoInternet.twothatTheretailersconsumerslocationorstealingchoosebetweenoftheconsumer
adigitalirydpetos6
CopAsweshowinAppendixA,itisoptimalfortherecordlabeltointroducesomeformofdigitaldownloads.Inotherwords,ifthelabelonlysellsCDsthroughatraditionalretailer,thenitisoptimalforthelabelalsotosellthrougharetailerthatonlysellsdigitaldownloads.
optimalretailandwholesaleprices:
p 3e2T 1 3eMt 5eMRT
T +2 1 2=2 1 3e
T3e2
3e+8t 1
p M eMRD=
TT 1 3e +12t 1 2
2 1
Te+8t 1
w TRT=2 1M 1
w eT1
RD=
M
Equilibriumpro ts,prices,demand,andpiracyvol-umearesummarizedinTable1.NoticethatwithDRMprotection,thepiracylevelisgivenby
S=3e2TT 11t+2 M 1 +4t 1 2 RD M
T 3eT+8t 1
Allelsebeingequal,8ifDRMrestrictionsaremademorecumbersome(i.e.,as sumerswhowerebuyingthe increases),somecon-legalversionwillshifttowardstealing.Interestingly,evenintheextremecase,when piracy:
=0,westillcanseeapositivelevelof3e2TT 11t 3eM 1 4teM 1 2
2e8t 1
T 3eT+ThissuggeststhatpiracyisnotdrivensimplybythedisutilityassociatedwithDRMbutalsobythecostsandbene tsoftheavailablealternativesandthepro-portionofconsumerswhomightpotentiallyengageinpiracy.
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Toseethis,notethatthereisnodifferenceintheutilitiesfromeitherofthesestrategiesacrossthetwosegments.
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Onemightarguethatincreasing technicalcostofpiracy,e wouldalsoleadtoahigher T.However,thisisnotnecessarilythecase.Notethat includesthedisutilityofDRMrestrictionsthatareunrelatedtothecostofpiracy,e.g.,thefearoflosinglegallypur-chasedsongsasaresultofaccidents,thelackofinteroperability.Therefore,therecanbeinstanceswhereincreasing buyersandnotthepirates.Thisisconsistent affectsonlythelegalwithDoc-torow’s(2008)observationthatthepresenceofafewsophisticatedpiratescangreatlyfacilitatepiracywithouthavinganyimpactonlegalbuyers.