/
No  On File Sharing with Indirect Network Effects Between Concert Ticket Sales and Music No  On File Sharing with Indirect Network Effects Between Concert Ticket Sales and Music

No On File Sharing with Indirect Network Effects Between Concert Ticket Sales and Music - PDF document

celsa-spraggs
celsa-spraggs . @celsa-spraggs
Follow
585 views
Uploaded On 2014-11-23

No On File Sharing with Indirect Network Effects Between Concert Ticket Sales and Music - PPT Presentation

In a model with two interre lated Hotelling lines prices in both markets are corrected downwards when compared to the standard Hotelling model Also 64257le sharing has ambiguous e64256ects on 64257rms pro64257tability As 64257le sharing can indi rec ID: 15500

model with

Share:

Link:

Embed:

Download Presentation from below link

Download Pdf The PPT/PDF document "No On File Sharing with Indirect Networ..." is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.


Presentation Transcript

Concert Ticket Sales and Ralf Dewenter, Tobias Wenzel July 2011 HeinrichHeine Normann OnFileSharingwithIndirectNetworkE ectsBetweenConcertTicketSalesandMusicRecordingsRalfDewenteryJustusHaucapzTobiasWenzelxAbstractThispaperanalysestheinterdependencybetweenthemarketformusicrecordingsandconcerttickets,assumingthattherearepositiveindirectnetworke ectsbothfromtherecordmarkettoticketsalesforliveperformancesandviceversa.Inamodelwithtwointerre-latedHotellinglinespricesinbothmarketsarecorrecteddownwardswhencomparedtothestandardHotellingmodel.Also, lesharinghasambiguouse ectson rms'pro tability.As lesharingcanindi-rectlyincreasedemandforliveperformancesoverallpro tscaneitherincreaseordecrease,dependingonthestrengthofindirectnetworke ects.Finally, lesharingmayinduce rmstoswitchfromthetraditionalbusinessmodelwithtwoseparate rmstoanintegratedbusinessmodelwhereoneagencymarketsbothrecordsandconcerts(so-called360degreedeals).JEL-Classi cation:L13,L82,Z10. Wewouldliketothankthreeanonymousreferees,theeditoraswellasseminarpar-ticipantsinNuernbergfortheirhelpfulcomments.yDuesseldorfInstituteforCompetitionEconomics(DICE),UniversityofDuesseldorf,Universitaetsstr.1,40225Duesseldorf.Email:ralf.dewenter@dice.uni-duesseldorf.dezDuesseldorfInstituteforCompetitionEconomics(DICE),UniversityofDuesseldorf,Universitaetsstr.1,40225Duesseldorf.Email:justus.haucap@dice.uni-duesseldorf.dexDuesseldorfInstituteforCompetitionEconomics(DICE),UniversityofDuesseldorf,Universitaetsstr.1,40225Duesseldorf.Email:tobias.wenzel@dice.uni-duesseldorf.de1 Keywords:MusicIndustry,IndirectNetworkE ects,FileSharing,Piracy,RecordSales,ConcertTickets.1IntroductionThemusicindustryisgoing,onceagain,throughaphaseofrapidtechno-logicalchange.Thedigitalisationofmusichasmadecopyrightenforcementmuchmoredicultandcostly,andthereisaheatedandverycontroversialdebateaboutthee ectsof lesharingpossibilities(see,e.g.,Oberholzer-GeeandStrumpf(2007);Liebowitz(2007)).Mostofthedebatefocusesonthequestionhow le-sharinga ectsrecordsales, rms'pro tsandmusicdistri-butionsystems(see,e.g.,Alexander(2002);PeitzandWaelbroeck(2006))aswellasverticalproductdi erentiation(quality)(e.g,Bayaan(2004)).Whilethereisalsoalimitedliteraturethataddressesthee ectsonconcertticketsales(inparticularCurienandMoreau(2009);GayerandShy(2003,2006)),thisliteratureonlyanalyseshowrecordsalesa ectthedemandforliveper-formances,ignoringthefactthatliveperformancesmayalsoalsoa ectthedemandformusicrecordings.Whileourpaperbuildsonthisresearch,weexplorehow le-sharing,recordsales,andthedemandforconcertticketsareinterrelatedin(imperfectly)competitivemarketswithdi erentiatedgoodswhererecordandticketsalesareinterrelated.Hence,thekeydi erencesbetweenCurienandMoreau(2009),GayerandShy(2003,2006)andourpaperare(a)thatweanalysean(imperfectly)competitivemarketinsteadofamonopolyand(b)ourmodeldoesnotonlyanalysee ectsfromrecordtoticketsalesbutalsofeedbacke ectsfromtickettorecordsales.ForthispurposeourpaperanalysesamodelwithtwoHotellinglines(Hotelling,1929)wheredemandforagivenproductintheonemarket(e.g.,2 therecordmarket)a ectsproductdemandintheothermarket(e.g.,concerttickets)andviceversa.Putdi erently,weassumethat-asmusicconsump-tionisalsoasocialphenomenon,asmanyindividualstendtopartiallyde nethemselvesthroughtheirmusicconsumption-thedemandforconcertsisin-creasinginrecordsaleswhilethedemandforrecordsitselfisalsoincreasinginconcertticketsales.Whileourpaperaimsathelpingtoexplainandunderstandsomerecenttrendsinthethemusicindustry,anotherexamplewhich tsourframeworkmaybetherelationshipbetweenbooksandmovies(basedonthesebooks).Forexample,HarryPotterbooksandmoviesmaybecomplementsandex-hibitindirectnetworke ects.ThereadingofaHarryPotterbookmayprovideahigherutilityifmorepeoplealsowatchthemovie,whileatthesametimethemovieisthemoreattractivethemorebooksaresold.Inprin-ciple,anycomplementaryproductsthatexhibitthesesocialnetworke ectsmayserveasexamples.Asthereareindirectnetworke ectspresentbetweenthetwoproducts,ourmodelmaybeinterpretedasaparticularexampleofatwo-sidedmar-ketmodelinthesenseofArmstrong(2006),RochetandTirole(2006)orBelle ammeandPeitz(2010).Intwo-sidedmarketsthereistypicallyonein-termediarywhopromotestransactionsbetweendi erenttypesofconsumersinthepresenceofindirectnetworke ects.Incontrast,inourmodelthereisonlyonegroupofconsumerswhodemandsseveraltypesofproductsbetweenwhichindirectnetworke ectsexist.Thus,wecontributetothetwo-sidedmarketliteraturebyconsideringtheimpactofpiracyinsuchmarkets.1Wealsoanalyse(insection4)thecaseofseparated rmssellingrecordsandconcertticketsindependentfromeachother,somethingthatisdicultto 1SeealsoRaschandWenzel(2011)foracomplementarystudyofpiracyinatwo-sidedmarket,albeitinthecontextofthesoftwareindustry.3 conceiveifwedealwithtypicalplatformsintwo-sidedmarkets.2Theremainderofthepaperisnoworganisedasfollows:Thenextsec-tionintroducesandanalysesthemodelbeforesection3extendsthemodeltoillegal lesharing(i.e.,piracy).Section4thenanalysesthecaseofnon-integratedbusinessmodelswhereone rmsellsthemusicrecordwhilean-otherorganisestoursandsellsconcerttickets,asithasbeentraditionallythecaseinthemusicindustrybeforeso-called360degreedealsbecamefash-ionable.Ourmainresultsandconclusionsare nallysummarisedinsection5.2TheModelLetusconsiderthemarketforrecords(orotherformsofmusicrecording)ontheonehandandthemarketformusicshowsandperformancesontheotherhand.ForbothmarketsweassumethatconsumersarelocateduniformlyalongaHotellinglinewithtwodi erentbandsorbrands-locatedattheendpointsoftheselines-managedbytwoindependent rms.Inthissection,weassumethatoneintegrated rmmarketsbothrecordsandshowticketsor,putdi erently,weassumethatartistssignso-called360degreedeals.Undera360degreedeal,onecompanyisresponsibleforhandlingbothanartist'srecordsalesaswellastouringandticketsales.Whiletraditionallyanartist'srecordsalesandconcertsweremanagedbydi erentagents(acasewhichwillbeanalysedinsection4ofourpaper),360degreedealshavebecomemoreandmorestandardinthemusicindustryinrecentyears(see,e.g.,Kasubian 2Ourmodelisalsosomewhatrelatedtothesocalledmultichannelsalesliteraturewhichanalyseshowsalesinonechannel(for,e.g.,onlinemarkets)a ectsalesinothermarkets(e.g.,traditional\oine"markets)fromamanagementandmarketingperspective.Seee.g.Danaheretal.(2010)foranempiricalanalysisonpiracyandmultichannelsales.4 (2009)).Weassumethattherearetwotypesofconsumers.WhilethereareNcon-sumers(calledmusiclovers)thatreceiveutilityfrombothmusicalrecordingsandlivemusicshows(concerts),therearealsoMconsumerswhichdonotliketoattendshows,butonlyreceiveutilityfromrecordings.Thelattergroupwillbecalledlisteners.Agivenmusicloverkisassumedtoreceivethefollowingutilityfrombuyingamusicrecordingofbandi:UkR=VR�tlk+si�pi,wherelkdenotesk'sdistancefrombandi,whiletmeasurestheassociated"transportation"costs.Thenumberofliveconcertsofbandiisdenotedbysi,i.e.weassumethatamusiclover'sutilityfromagivenmusicrecordingiisincreasedbysiiftherearealsosiliveconcertsassociatedwiththeband'salbum.3Inourmodel,sicorrespondstotheshareofmusicloversthatattendaconcertofbandi.4Incontrast,isassumedtobezeroforsimplemusiclisteners,i.e.,theydonotreceiveanyadditionalutilityfromliveconcerts.Hence,thenumberofliveperformancesisutilityenhancingformusicloversandatoolofverticalproductdi erentiationforthemwhileitisnotrelevantfortheMmusiclisteners(i.e,=0formusiclisteners,while�0formusiclovers).Therecordprice,pi,isdeductedfromconsumers'utility.Thegrossutilityfromconsumingrecordedmusic,VR,isassumedtobesucientlyhightoensurethatallmusicloversandlistenersbuyrecords. 3Tofocusonnetworke ectsacrossmarketsweneglectpossiblenetworke ectswithinmarkets.Seee.g.GayerandShy(2006)foramodelthatconsidersnetworke ectswithinamarket.4Notethattheindirectnetworke ectdependsonlyontheshareofmusicloversthatattendtheconcertbybandi.Thus,thestrengthoftheindirectnetworke ectisinde-pendentofthemarketsizeandthepresenceofmusiclisteners.Thesameappliestotheindirectnetworke ectfrommusicrecordingsontheconcertmarket.5 Nowletthemusiclovers'utilityfromattendingaliveconcertbegivenbyUkC=VC�dlk+qi�wi,whereVCisthegrossutilityofattendingaconcert,lkdenotes,asbefore,k'sdistancefrombandi,whiledmeasurestheassociatedtransportationcostsintheliveconcertmarket.Thereisagainacomplementaritybetweenrecordsandliveconcertssothattheutilityfromliveconcertsisenhancedbyafactorofthemorerecordsaresold.Thevariableqidenotestheshareofmusicloversthatbuyrecordsofbandi.Hence,thereareindirectnetworke ectsfromboththerecordmarkettotheliveconcertmarket(thestrengthofwhichismeasuredby)whilethestrengthoftheindirectnetworke ectsfromtheliveconcertmarkettotherecordmarketismeasuredby.Theticketpriceperliveconcertofbandiisdenotedbywi.Toensureequilibriumexistence,weassumethatthedegreeofproductdi erentiationinthemarketsforrecordsandconcertsissucientlylargecomparedtothenetworke ectsbetweenthetwomarkets:5Assumption14td(N+M)�N(+)2+4M.Theindi erentmusiclover(qm)andmusiclistener(xm)inthemusicrecordmarketandthemarginalconsumerintheliveconcertmarket(sm)aregivenbyVR�tqm+s1�p1=VR�t(1�qm)+s2�p2;VR�txm�p1=VR�t(1�xm)�p2;VC�dsm+q1�w1=VC�d(1�sm)+q2�w2. 5ThedetailsareprovidedintheAppendix.6 Hence,therespectivedemandsforbandiaregivenby:qi=1 2+(pj�pi)+(si�sj) 2t;(1)xi=1 2+(pj�pi) 2t;(2)si=1 2+(wj�wi)+(qi�qj) 2t:(3)Takingintoaccounttheinterdependenciesbetweenqiandsi,wecanreformulatethetworespectivedemandfunctionsasqi=1 2+(wj�wi)+d(pj�pi) 2(dt�);(4)andsi=1 2+(pj�pi)+t(wj�wi) 2(dt�).(5)Asweassume,inthissection,thatbandssign360degreedealssothatoneintegrated rmmanagesallaspectsoftheband(recordsalesandtouring),thepro tofbandicannowbewrittenasfollows:6i(pi;wi)=Npiqi+Mpixi+Nwisi.(6)Solvingthe rst-orderconditionsyieldsthefollowingequilibriumpricesleadingtoanequilibriumwhereeachbandattractshalfofthemarket: 6Noticethatwehavenormalizedallpossiblecosts(e.g.,producingandmarketingrecords,organisingconcerts,...)tozero.Duetoourassumptionofinelasticdemandintroducinglinearvariablecostswouldnota ectourresults.Introducing xedcostswouldalsonota ectourresultsaslongthesecostsarenottoohighsothatboth rmscanearnpositivepro tsinequilibrium.7 p=t�N M+N,(7)w=d�1+ tM N+M:(8)NotethattheresultingpricesarelowerthaninthesimpleHotellingmodel.IfweignorethemusiclistenersandsetM=0,sothatweonlyfocusonthetwointerdependentdemandfunctionsqiandsiwecanrewritethetwopricesasp=t�;(9)andw=d�.(10)Thatmeansthatbothpricesarecorrecteddownwards.Thisresultcon-trastswithothermodelsoftwo-sidedmarketsorcomplementaryproductswhereusuallythepriceforonegoodorserviceislowerwhilethepricesfortheotherproductorserviceincreaseswhencomparedtoareferencemodelwithoutcomplementaritiesorindirectnetworke ects(Wright,2004;ParkerandvanAlstyne,2005).InourmodeloftwointerdependentHotellinglines,thischangesbecause,incontrasttoothermodels,thereisnomarketexpan-sion,butonlyabusinessstealinge ect.Hence,labelscompeteaggressivelyinordertowincustomers.Themoreconsumers'utilityofliveconcertsand,therefore,theirdemandforthemisa ectedbyrecordsales(asmeasuredby)theloweristhepriceforrecordsandviceversa.Iftheindirectnetworke ectsfromonemarkettotheotherareverystrong,onepricemayeventurnnegative,inprinciple.Obviously,thedownwardcorrectionoftherecordpriceisthelowerthefewercustomersareinterestedinconcerts.Ifthefractionofmusicloversin8 thepopulation,asmeasuredbyN=(M+N),becomessmaller,thedownwardbiasoftherecordprice,p,isalsoreduced.Similarly,thedownwardcorrectionoftheconcertticketprice,w,isthemoreseverethemoremusiclistenersthereare(i.e.,thehigherM=(M+N)).Theintuitionisasfollows:Themoremusiclisteners(whoarenotinterestedinconcerts)thereare,thehigheristheopportunitycost(intermsofforegonerevenues)ofloweringtherecordprice(asitonlystimulatesdemandformusicconcertsforafractionofthepopulation).Hence,withmanymusiclisteners rmsratherkeeprecordpricesupandstimulaterecordsalestomusicloversby"cross-subsidising"ticketprices.Insertingequilibriumpricesintothepro tfunction,weobtainequilibriumpro tsofeachlabel:=(N+M) 2t�N M+N+N 2d�1+ tM N+M:Thenetworke ectshaveanegativeimpactonpro tability.Thehigherand,theloweristhelabel'spro t.Thereasonistheaforementioneddownwardpressureonpricesforrecordsandconcertsduetotheinterrelateddemandsforthetwoproducts.Concerningthedegreeofproductdi erentia-tion,measuredbydandt,themodeldeliversthestandardpredictions.Thehigherthetransportationcosts,thehigherarethemusiclabels'pro ts.3FileSharingLetusnowanalysehow(illegal) lesharingorpiracya ectstheequilibrium.Forthispurposeweassumethatonlyafraction ofthecustomermassesofNandMisactuallypayingforrecordedmusicwhilethefraction(1�9 )isengaginginpiracyor(illegal)unpaid lesharing.Labeli'spro tmaximisationproblemnowbecomesi= Npiqi+ Mpixi+Nwisi.Ourrestrictiononparametervaluestoguaranteeequilibriumexistencemodi esasfollows:Assumption24td(N+M) �N( +)2+4 M.Derivingthe rst-orderconditionsandsolvingyieldsthefollowingequi-libriumvalues^p=t� N M+N;and^w=d� + tM N+M.Filesharinghasoppositee ectsonthepricesforrecordsandconcerts.Itdecreasesthepriceforrecords,butincreasesthepriceforliveconcerts.Notethatthise ectof lesharingreliesonthepresenceofcomplementaritiesbetweenthetwomarkets.Tounderstandourresults,suppose rstthattherearenocomplementar-ities,thatis,==0.Then,equilibriumpriceswouldnotbea ectedby lesharing,but lesharingwouldonlya ectlabelsbyreducedpro tabilityinthemarketforrecords,asonlyaproportion ofconsumerswouldac-tuallypayforrecords.Themarketforliveconcertswouldnotbea ectedatall.Nextsupposethat�0,butstill=0,i.e.,thereisonlyaposi-tivecomplementarityfromrecordsalesontheutilityfromconcerts.Then,increased lesharingreducestheequilibriumpricepforrecords,butleaves10 theticketpricewforconcertsunchanged.Theintuitionisasfollows:Asshownabove,apositiveinduces rmstolowertheirpriceinthemarketforrecordstoattractadditionalcustomersinthemarketforlivemusic.Anincreasein lesharingdecreasestheopportunitycostsofloweringthepriceforrecords,asonlyafraction actuallypaysforrecordedmusic.Thus,inequilibriumthepriceforrecordsisreduced.Nowsupposethatthereisad-ditionallyapositivecomplementarityfromconcertvisitsontorecordsales.DuetothecomplementaritypricesforconcertsarelowerthaninastandardHotellingmodel.However,thisdownwardcorrectiondependsonthedegreeof le-sharing.Themore le-sharingthelowertheincentivestoreducethepriceforconcertstoattractsalesintherecordmarket,asthebene tintherecordmarketisreducedwithmore le-sharing.Insertingequilibriumpricesintopro tsgives^=(N+M) 2 t�N M+N+N 2d� + tM N+M:Comparativestaticsconcerningthedegreeofproductdi erentiationandthesizeofthenetworke ectsyieldthesameresultsaswithout leshar-ing.Moreinterestingly,howdoes lesharinga ectthelabels'pro tability?Di erentiatingpro tswithrespectto yields@^ @ =(M+N)t�N 2:(11)Thisexpressioncaneitherbepositiveornegative.Pro tsincreasewith lesharing,thatis@ @ 0,if&#x]TJ/;༗ ;.9;Ւ ;&#xTf 1;.91; 0 ;&#xTd [;tN+M M.Hence, lesharingcanhaveapositiveimpactonpro tsifthestimulatinge ectfromconcertsonrecordsalesissucientlystrong.Asseenabove,increased lesharinghasapositive11 e ectonconcertpricesbutanegativee ectonrecordprices.Thus,theoveralle ectdependsonthesizeofthesetwoe ects.Iftishigh,recordsalesmakeupforalargeproportionofpro ts.Then, lesharing(i.e.,alowervalueof )hasadetrimentale ectonlabels'pro ts.However,iftisrelativelylow,incomefromrecordsalesisrelativelyunimportantand lesharinghasapositiveimpactonpro ts.Notethattheeconomicliteraturehasshownseveralavenuesbywhich le-sharingmayincreasepro ts:PeitzandWaelbroeck(2006)showthatduetosamplinge ectsrecordcompaniesmaygainfromdownloading.Freesamplesinformconsumersaboutavailableproductsandcanincreasetheirwillingnesstopay.InGayerandShy(2006)di erentplayersinthemusicindustryarea ecteddi erentlyby lesharing.Whilerecordcompanieslosefrom lesharing,artistsmaygainduetocross-e ectsontothemarketforconcertsandothermerchandising.Networkexternalitieswithinthemarketforrecordsmayalsomakerecordcompaniesbene tfrompiracy(ConnerandRummelt,1991;ShyandThisse,1999).Ifdemandforlegalcopiesriseswiththeamountofillegalcopiespro tsmayincrease.Weaddtotheseresultsbyhighlightingafurtheravenue.Ifnetworke ectsfromconcertattendanceonrecordsalesaresigni cant,then lesharingcanbepositiveforalabel'spro taslabelscompeteandpricelessaggressivelyintheconcertticketmarketbecausestimulatingrecordsalesislessrewarding.Notethatthisresultisobtainedeventhoughthereisnomarketexpansione ectpresentinourmodel.7Thedrivingforceinourmodelisthereducedbusinessstealinge ectdueto lesharing. 7DuetotheHotellingsetup,eachconsumerdemandsasingleunitofaproductand,hence,totaldemandisconstant.12 4Thenon-integratedbusinessmodelSofarwehavestudiedabusinessmodeloftheindustrywhere rmsareintegratedando erbothrecordsandconcertsofabandi.Thissectionstudiesanalternativebusinessmodelthathastraditionallybeenappliedinthemusicindustry,namelythat rmsarenotintegrated,andrecordsandconcertsofbandiaresoldbyseparateentities.Thepurposeofthissectionistostudywhethertheextentof lesharingmaya ectaband'schoiceofthebusinessmodel.Forsimplicityandwithoutlossofgenerality,wefocusonthecasewithonlymusic-lovers(M=0).Thepro tofarecordcompanyandaconcertpromoter,respectively,isthenr= Npiqi;(12)andc=Nwisi:(13)Pricesforconcertticketsandrecordsarechosenindependentlyleadingtothefollowingequilibriumvalues: p=t� d;(14)and w=d� t:(15)Notethatpiracydoesnota ectequilibriumprices,asthelevelof lesharingisexogenousandisnota ectedbyrecordpricesinourmodel.Toanalyzelabels'preferencefororagainstthisbusinessmodel,wereportthe13 jointpro tsoftherecordcompanyandthecorrespondingconcertorganiser: =1 2 Nt� d+1 2Nd� t:(16)Itfollowsthat lesharinghasanegativeimpactonthepro tabilityofrecordcompaniesduetoalowernumberoflegalsales,buthasnoe ectontheconcertindustry.Jointindustrypro tsdecreasewith le-sharing.Thisisincontrasttothemarketstructurewithintegrated rmswhere le-sharingcan-undercertaincircumstances-actuallyincreasepro ts.Wecanconcludethatincreased lesharingmayinducethemusicindustrytoalteritsbusinessmodeltowardsanintegrationofrecordandconcertmanagement,ashashappenedindeedwiththegrowingintroductionof360degreedealsinrecenttimes.Formally,theintegratedbusinessmodelsleadstohigherpro tsiftheproblemof lesharingissucientlysevere,thatis,iflegalsalesaresucientlyunimportant: d(�t) t(d�):(17)5SummaryandConclusionsThispaperhasanalysedtheinterdependencybetweenthemarketformusicrecordingsandconcerttickets,assumingthattherearepositiveindirectnet-worke ectsbothfromtherecordmarkettoticketsalesforliveperformancesandviceversa.UsingamodelwithtwointerrelatedHotellinglineswehaveshownthatpricesinbothmarketsarecorrecteddownwardswhencomparedtothestandardHotellingmodel.Furthermore,wehaveshownthattheef-fectsof lesharingonlabels'pro tabilityareambiguous.Filesharingcanactuallyleadtohigherpro tsthroughincreasedconcertticketdemandif14 indirectnetworke ectsaresucientlystrong.Inaddition,wehaveshownthatanintegratedbusinessmodelcanbemorepro tablethanthetraditionalmodelofseparatedrecordandtourmanage-mentif lesharingissucientlystrongor,putdi erently,oncetheleveloflegalrecordsalesbecomessucientlyunimportant.Giventhatpro tsmayevenincreasethrough lesharingonemayspec-ulatethatvarietymayincreaseinamoregeneralmodelwithmarketentry.Whilewehavetoleavethisquestionopenatthispoint,weconsideritaninterestingtopicforfutureresearchtoanalysehowmarketentryandproductvarietyarea ectedthrough lesharingifdemandsforshowticketsandmusicrecordingsareinterrelated.Similarly,wehavenotendogenisedtheamountof lesharinginourmodelbutrathertakenitasanexogenouslygivenfact.Arichermodelmayalsoendogenisethe lesharingdecision,whichweleaveforfutureresearch.AppendixFortheequilibriumtoexistthesecondorderconditionsmusthold.Wecon-siderthemoregeneralcasewith le-sharing.TheHessianoftheoptimisationproblemof rmiwith le-sharingisH=0B@�Nd td��M t�N( +) 2(td�)�N( +) 2(td�)�Nt td�1CA:(18)Forthesecond-orderconditionstobeful lledtheHessianneedstobe15 negativesemi-de nitewhichisensurediftwoconditionsaremet:td�;(19)and4td(N+M) �N( +)2+4 M:(20)Itcanthenbeshownthatthesecondconditionismorerestrictive.Re-formulating,the rstconditioncanbeexpressedas4td(N+M) �4(N+M) .Then,N( +)2+4 M�4(N+M) ,andhencethesecondconditionismorerestrictive.Thus,weassume4td(N+M) �N( +)2+4 M.Incasethereisno le-sharing( =1)theconditionsimpli esto4td(N+M)�N(+)2+4M.ReferencesAlexander,P.J.(2002).Peer-to-peer lesharing:Thecaseofthemusicrecordingindustry.ReviewofIndustrialOrganization,20(2):151{161.Armstrong,M.(2006).Competitionintwo-sidedmarkets.RandJournalofEconomics,37(3):668{691.Bayaan,I.(2004).Technologyandthemusicindustry:E ectsonpro ts,variety,andwelfare.Unpublishedworkingpaper.Belle amme,P.andPeitz,M.(2010).Platformcompetitionandsellerin-vestmentincentives.EuropeanEconomicReview,54(8):1059{1076.Conner,K.R.andRummelt,R.P.(1991).Softwarepiracy|ananalysisofprotectionstrategies.ManagementScience,37:125{139.16 Curien,N.andMoreau,F.(2009).Themusicindustryinthedigitalera:Towardnewcontracts.JournalofMediaEconomics,22(2):102{113.Danaher,B.,Dhanasobhon,S.,Smith,M.,andTelang,R.(2010).Convertingpirateswithoutcannibalizingpurchasers:theimpactofdigitaldistributiononphysicalsalesandinternetpiracy.MarketingScience,29(6):1138{1151.Gayer,A.andShy,O.(2003).Internetandpeer-to-peerdistributioninmarketsfordigitalproducts.EconomicsLetters,81(2):197{203.Gayer,A.andShy,O.(2006).Publishers,artists,andcopyrightenforcement.InformationEconomicsandPolicy,18(4):374{384.Hotelling,H.(1929).Onstabilityincompetition.EconomicJournal,39:41{57.Kasubian,S.(2009).360deals:Anindustryreactiontothedevaluationofrecordedmusic.SouthernCaliforniaInterdisciplinaryLawJournal,18:395{462.Liebowitz,S.(2007).AcommentontheOberholzer-GeeandStrumpfpaperon le-sharing.Unpublished.Oberholzer-Gee,F.andStrumpf,K.(2007).Thee ectof le-sharingonrecordsales:Anempiricalanalysis.JournalofPoliticalEconomy,115(1):1{42.Parker,G.W.andvanAlstyne,M.(2005).Two-sidednetworke ects:Atheoryofinformationproductdesign.ManagementScience,51:1494{1504.Peitz,M.andWaelbroeck,P.(2006).Whythemusicindustrymaygainfromfreedownloading:Theroleofsampling.InternationalJournalofIndustrialOrganization,24(5):907{913.17 Rasch,A.andWenzel,T.(2011).Piracyinatwo-sidedsoftwaremarket.Unpublished.Rochet,J.-C.andTirole,J.(2006).Two-sidedmarkets:Aprogressreport.RandJournalofEconomics,37(3):645{667.Shy,O.andThisse,J.(1999).Astrategicapproachtosoftwareprotection.JournalofEconomicsandManagementStrategy,8:163{190.Wright,J.(2004).One-sidedlogicintwo-sidedmarkets.ReviewofNetworkEconomics,3:42{63.18 28 Dewenter, Ralf, Haucap, Justus and Wenzel, Tobias, On File Sharing with Indirect Network Effects Between Concert Ticket Sales and Music Recordings, July 2011. 27 Von Schlippenbach, Vanessa and Wey, Christian, One-Stop Shopping Behavior, Buyer Power, and Upstream Merger Incentives, June 2011. 26 Balsmeier, Benjamin, Buchwald, Achim and Peters, Heiko, Outside Board Memberships of CEOs: Expertise or Entrenchment?, June 2011. 25 Clougherty, Joseph A. and Duso, Tomaso, Using Rival Effects to Identify Synergies and Improve Merger Typologies, June 2011. 24 Heinz, Matthias, Juranek, Steffen and Rau, Holger A., Do Women Behave More Reciprocally than Men? Gender Differences in Real Effort Dictator Games, June 2011. Forthcoming in: Journal of Economic Behavior and Organization. 23 Sapi, Geza and Suleymanova, Irina, Technology Licensing by Advertising Supported Media Platforms: An Application to Internet Search Engines, June 2011. Published in: The B. E. Journal of Economic Analysis & Policy.22 Buccirossi, Paolo, Ciari, Lorenzo, Duso, Tomaso, Spagnolo Giancarlo and Vitale, May 2011. 21 Karaçuka, Mehmet and Catik, A. Nazif, A Spatial Approach to Measure Productivity Spillovers of Foreign Affiliated Firms in Turkish Manufacturing Industries, May 2011. Forthcoming in: The Journal of Developing Areas. 20 Catik, A. Nazif and Karaçuka, Mehmet, A Comparative Analysis of Alternative Univariate Time Series Models in Forecasting Turkish Inflation, May 2011. Forthcoming in: Journal of Business Economics.19 Normann, Hans-Theo and Wallace, Brian, The Impact of the Termination Rule on Cooperation in a Prisoner’s Dilemma Experiment, May 2011. Forthcoming in: International Journal of Game Theory. 18 Baake, Pio and von Schlippenbach, Vanessa, Distortions in Vertical Relations, April 2011. Forthcoming in: Journal of Economics. 17 Haucap, Justus and Schwalbe, Ulrich, Economic Principles of State Aid Control, April 2011. 16 Haucap, Justus and Heimeshoff, Ulrich, Consumer Behavior towards On-net/Off-net Price Differentiation, January 2011. Published in: Telecommunication Policy 35 (2011), pp. 325-332. 15 Duso, Tomaso, Gugler, Klaus, Yurtoglu, Burcin B., How Effective is European Merger Control? January 2011. Forthcoming in: European Economic Review. 14 Haigner, Stefan D., Jenewein, Stefan, Müller, Hans Christian and Wakolbinger, Florian, The First shall be Last: Serial Position Effects in the Case Contestants evaluate Each Other, December 2010. Published in: Economics Bulletin (2010), Volume 30, Issue 4, pp. 3170-3176. 13 Suleymanova, Irina and Wey, Christian, On the Role of Consumer Expectations in Markets with Network Effects, November 2010 (first version July 2010). Forthcoming in: Journal of Economics.12 Haucap, Justus, Heimeshoff, Ulrich and Karacuka, Mehmet, Competition in the Turkish Mobile Telecommunications Market: Price Elasticities and Network Substitution, November 2010. Published in: Telecommunications Policy 35 (2011), pp. 202-210. 11 Dewenter, Ralf, Haucap, Justus and Wenzel, Tobias, Semi-Collusion in Media Markets, November 2010. Forthcoming in: International Review of Law and Economics. 10 Dewenter, Ralf and Kruse, Jörn, Calling Party Pays or Receiving Party Pays? The Diffusion of Mobile Telephony with Endogenous Regulation, October 2010. Published in: Information Economics and Policy 23 (2011), pp. 107-117. 09 Hauck, Achim and Neyer, Ulrike, The Euro Area Interbank Market and the Liquidity Management of the Eurosystem in the Financial Crisis, September 2010. 08 Haucap, Justus, Heimeshoff, Ulrich and Luis Manuel Schultz, Legal and Illegal Cartels in Germany between 1958 and 2004, September 2010. Published in: H. J. Ramser & M. Stadler (eds.), Marktmacht. Wirtschaftswissenschaftliches Seminar Ottobeuren, Volume 39, Mohr Siebeck: Tübingen 2010, pp. 71-94. 07 Herr, Annika, Quality and Welfare in a Mixed Duopoly with Regulated Prices: The Case of a Public and a Private Hospital, September 2010. Forthcoming in: German Economic Review. 06 Blanco, Mariana, Engelmann, Dirk and Normann, Hans-Theo, A Within-Subject Analysis of Other-Regarding Preferences, September 2010. Forthcoming in: Games and Economic Behavior. 05 Normann, Hans-Theo, Vertical Mergers, Foreclosure and Raising Rivals’ Costs – Experimental Evidence, September 2010. Forthcoming in: The Journal of Industrial Economics. 04 Gu, Yiquan and Wenzel, Tobias, Transparency, Price-Dependent Demand and Product Variety, September 2010. Published in: Economics Letters 110 (2011), pp. 216-219. 03 Wenzel, Tobias, Deregulation of Shopping Hours: The Impact on Independent Retailers and Chain Stores, September 2010. Published in: Scandinavian Journal of Economics 113 (2011), pp. 145-166. 02 Stühmeier, Torben and Wenzel, Tobias, Getting Beer During Commercials: Adverse Effects of Ad-Avoidance, September 2010. Published in: Information Economics and Policy 23 (2011), pp. 98-106. 01 Inderst, Roman and Wey, Christian, Countervailing Power and Dynamic Efficiency, September 2010. Forthcoming in: Journal of the European Economic Association, August 2011. ISSN 2190-9938 (online) ISBN 978-3-86304-027-7