10
5.2.PerfectIntraformatCompetition
Inthemainmodelsetup,weconsideredoneInter-netandonetraditionalretailer.Inotherwords,themainmodelcapturesinterformatcompetitionbutnotintraformatcompetition.Inpractice,therearemulti-pleretailerssellingthemusicineachformat,withmanyofthemenjoyingdownwardslopingdemandsbecauseoftheirdifferentiationstrategies.BecausesomeofourmainresultsariseasaresultofchangesinpriceswhenDRMrestrictionsareremoved,itmightappearthatallowingforcompetitionamongVernik,Purohit,andDesai:MusicDownloadsandtheFlipSideofDRM
MarketingScience,ArticlesinAdvance,pp.1–17,©2011INFORMS
ers.The lemaynotbeermissions@.
hand,thereductioninthetechnicalcostofpiracyleadstomoreintensecompetitionbetweenlegalandpiratedformsofdigitalmusic,creatingadownwardpressureonthewholesalepriceforthedigitalalbum.Intermsofpiracy,wehavethefollowingresult.Proposition5.Inthecaseofperfectintraformatcom-petitionamongretailers,removingDRMalwaysleadstoadecreaseinpiracy.
Propositions1Aand1Bshowedthatwithoutintraformatcompetition,thepiracyvolumemightbpircotthesbycweretailersmayweakenthoseresults.Inthissection,usilooptformatWeexploreassumethisthatpossibility.
thereareesilbhtition,talgwholesalesoandthatthatthetheyequilibriumareengagedmanyretailerssellingeachretailinBertrandcompe-invaidmusicareagofformatprices.isatAsthebefore,thelocationpricesofaretheequaldigitaltodaerofthemsnmodelthetraditionalHotelling(1929)musicleftformatextremeisattheandrightthelocationextremesioihtscetheIntheandcaseourlinesegment.TherestofthewithanalysisDRMapproachremainunchanged.ihuwqidenti edconsumer,ynitiesasinindifferentthebasicbetweenrestrictions,modelbythethetwolocationformatsofisnoaisolvingURDSeach x =forURDBx. x andURDBequating x =URTB
theutil- x andthensrdnwithinveesisecensp thesameeachformat,Becausetheretailofthepriceperfectforcompetition
each
format
avaetionRD=.Weasthenthesolvewholesaletherecordprice:pRT=wRTanddlAPsaleprices:
problemwRD
toobtainthefollowinglabel’soptimaloptimiza-whole-ne.itissew RT
lc’s=eTM 1
r2 1
and
itorAhtusaw RDi=
eTMh 1
teohtttghnisThegiroptimalsolvedcaseretail/wholesaleinwhenthesamedigitalfashion,musicissoldwithoutDRMidyuprices:
yieldingthefollowinglpconicse,p eTUTdti=w UT=
M 1+
2 1
and
loshbeSwp UDMr=w eTUD=
M 1
RehOtFoTheNyIna:withFromfullsolutiontheaboveisexpressions,providedinTableitis2.
thngoinirydpeforthethetraditionaleliminationformatofDRM,thepriceeasyfortotheseealbumthattosdecrease.themusicCopmainHereinagain,thedigitaldecreases,butthepricethetrade-offformatmayincreaseortalwhichmusicmodelbecomesapplies.moreOnattractivetheoneobservedinthetohand,beltoOnincreaseconsumers,theother
theincreasetiontion,6advantageretailersshowsordecreasethatarenotwithwithDRMremoval.Proposi-ableperfecttoincreaseintraformatpricecompeti-totakeremovalvolumeofofDRMtheincrementalrestrictions.utilityAsprovidedbythethatalwaysgoesdown.Thisaresultresult,alsotheimpliespiracycientlywhenfortotherecordstrong,thelabelsomeintraformatareofreducedthebene tscompetitionisnotsuf -bytheofremovingretailers’abilityDRMwhenWhenchargecomparinghigherpricesrecordforthelabels’DRM-freepro tsmusic.
DRM,stillholds,wetheseedigitalmusicissoldwithandinwithoutcasesjustthatwiththeadifferentresultstatedcutoffinpoint:
Proposition2B eT =
tM 1
eT t+ 22te 3
1
T 1 t 4 3 1
+2eTeM eM 1 +2t 1 2
4e2Mt 1 3 1 1/2
· eT+2t 1 1 1
meansTheabovetheleadeliminationthatthecutoffrecordpointcouldbenegative,whichofDRMlabel’sevenpro twhenmaydoingincreasewithtotoahigherutilityforconsumers.ThissoisdoessimilarnotbyInthesummary,resultinPropositionwe2Ainthebasicmodel.duceourmainmodel ndarethatpreservedtheinsightswhenweprovidedever,intraformatforwhenremovingcompetitionDRMleadsamongtoretailers.How-intro-capitalizeconsumers,thedigitalretailersareahighernotableutilitytoThisbiggermeansonthattheremovinghigherutilityDRMbyalwaysincreasingprices.toincreaseinthesalesoflegalmusic.leadsIttoapro tsseethattheretailersdonotearnanyeconomiciseasyanyrecordpositiveevenwhenlabel.impactDRMofremovingrestrictionsDRMareaccruesremoved,tobutthe5.3.
CompetitionBetweenPiratedDigitalandLegalTraditionalFormats
Inourthisloadablemainsection,ditionalformatformatmodel.weconsiderthe nalextensionofcompetedInthemainortheillegalagainstmodel,downloadableeitherthethelegallegaldown-format
tra-