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Essays in Industrial Organisation Price Competition, Strategic Obfuscation, Advertising & Consumer Behaviour Thesissubmittedinaccordancewiththerequirementsof TheUniversityofLiverpoolforthedegreeof DoctorofPhilosophy by Robert Andrew Edwards DepartmentofEconomics,Finance&Accounting January2017 Thisthesisisdedicatedto RebekahMcCarthy, Frank&MaryYoung. Acknowledgements There are several individuals to whom I must extend my sincere gratitude. Firstly, to ProfessorGaryCook,HeadofDepartmentofEconomics,FinanceandAccounting,for inspiring me to pursue postgraduate studies. Gary has supported my development throughout my academic education. His enthusiasm, encouragement and direction willhavealastingimpactonmyapproachtobothresearchandteaching. Secondly, I am indebted to my advisors: Dr. Yiquan Gu, Professor Brendan McCabe and Dr. Yao Rao. Yiquan’s expertise in the application of Game Theory to topics in IndustrialOrganisationstimulatedmyinterestinthisresearcharea. Brendan’swealth ofknowledgeandexperiencehasbeeninvaluableindevelopingthisthesis. Thirdly,ImustthankthemembersoftheMicroeconomicsResearchGroupattheUni- versity of Liverpool Management School. Special thanks are due to Professor Do- minique Demougin and to Dr. Robert Routledge. I must also thank my friends and doctoralcolleagues: Claire,Sam,Michael,Yazan,Christiane,Harvey&Sanna. Theresearcharticlescontainedinthisthesishavealsobenefitedfromcommentsatsev- eralinternationalconferencesincluding: NorthWestDoctoralTrainingCentreAnnual Conference (2015), Bielefeld Doctoral School Workshop on Economic Theory (2015), Workshop on Game Theory & Social Choice at the University of Hungary (2015) and the Annual Royal Economic Society Conference held at the University of Brighton (2016). I also gratefully acknowledge the financial support of the Economic & Social ResearchCouncil. Finally, I must thank Rebekah and my family for their constant support throughout my academic studies, without whom the production of this thesis would not have beenpossible. Contents 1 Introduction 1 2 Obfuscation,StrategicPricing&ConsumerBehaviour. 4 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.2.1 Multi-DimensionalPricing&CompositeProducts . . . . . . . . . . . . . . . . 6 2.2.1.1 EndogenousConsumerSophistication . . . . . . . . . . . . . . . . . 10 2.2.2 PriceFramingEffects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.2.3 Salience . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 2.2.3.1 AttentionGrabbingProducts . . . . . . . . . . . . . . . . . . . . . . . 23 2.2.4 SearchCosts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 2.2.4.1 Multi-ProductRetailing . . . . . . . . . . . . . . . . . . . . . . . . . . 28 2.2.5 FrequentlyChangingPrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 2.3 Evidence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 2.3.1 EmpiricalEvidence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 2.3.2 Experiments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 2.3.2.1 DifferentiatedProducts . . . . . . . . . . . . . . . . . . . . . . . . . . 51 2.3.2.2 NaturalIncreasesinChoice . . . . . . . . . . . . . . . . . . . . . . . 57 2.3.2.3 Salience . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 2.4 SimplicityBiases: Theory&Evidence . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 2.5 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 3 CompetitionwithSimplicityBiasedConsumers 75 3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 3.1.1 SummaryofMainResults . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 3.1.2 RelatedLiterature. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79 3.2 AModelofCompetitionwithSimplicityBiasedConsumers . . . . . . . . . . . . . . 82 3.3 EquilibriumPricing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 3.3.1 SymmetricPricing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 i 3.3.2 AsymmetricPricing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 3.4 EquilibriumObfuscation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90 3.4.1 SymmetricEquilibria . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90 3.4.2 AsymmetricEquilibria . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 3.4.3 MixedStrategyEquilibrium . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 3.5 WelfareAnalysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95 3.6 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 3.6.1 TheRoleofTiming . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100 3.6.2 DivergentConsumerPreferences . . . . . . . . . . . . . . . . . . . . . . . . . . 100 3.6.3 CostlyObfuscation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100 3.6.4 FurtherExtensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 3.7 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 3.8 AppendixA:MainProofs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103 3.9 AppendixB:AlternativeCharacterisationofFirmProfit. . . . . . . . . . . . . . . . . 110 3.10 AppendixC:SupplementaryMaterial . . . . . . . . . . . . . . . . . . . . . . . . . . . 111 4 PromotionswithBiasedConsumers 113 4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113 4.1.1 RelatedLiterature. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117 4.2 TheModel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120 4.2.1 EquilibriumPayoffs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123 4.2.2 EquilibriumObfuscation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126 4.2.3 DerestrictingtheSimplicityBias. . . . . . . . . . . . . . . . . . . . . . . . . . 127 4.2.4 FirmProfit&PriceDistributions . . . . . . . . . . . . . . . . . . . . . . . . . . 127 4.2.5 DecreasingMarginalEffectofObfuscation . . . . . . . . . . . . . . . . . . . . 128 4.3 ComparativeStatics&PolicyMeasures . . . . . . . . . . . . . . . . . . . . . . . . . . 129 4.3.1 ComparativeStatics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 4.3.2 PoliciestoImproveConsumerSophistication . . . . . . . . . . . . . . . . . . . 130 4.3.3 AnIllustrativeExample . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132 4.4 EndogenousSimplicityBiases . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 4.4.1 StrategicAdvertising . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 4.4.2 FalseAdvertising . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 4.5 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137 4.5.1 PolicyImplications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140 4.5.2 HypothesesforExperimental&EmpiricalResearch . . . . . . . . . . . . . . . 140 4.5.3 Limitations&Extensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141 ii 4.6 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142 4.7 AppendixA:MainProofs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 4.8 AppendixB:SupplementaryMaterials. . . . . . . . . . . . . . . . . . . . . . . . . . . 151 5 Conclusion&FurtherResearch 157 5.1 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157 5.2 FurtherResearchProjects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161 5.2.1 LowIncomeConsumersandAdd-OnInsuranceProducts . . . . . . . . . . . 161 5.2.2 CommercialObfuscation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162 Bibliography 163 iii List of Figures 2.1 Hossain&Morgan(2006) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 2.2 TreatmentTypes: Taiwan,Brownetal(2010). . . . . . . . . . . . . . . . . . . . . . . . 47 2.3 TreatmentTypes: Ireland,Brownetal(2010). . . . . . . . . . . . . . . . . . . . . . . . 47 2.4 KalayciandPotters(2011). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 3.1 SymmetricPricing: {L,L} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89 3.2 SymmetricPricing: {H,H} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89 3.3 AsymmetricPricing: {L,H} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89 3.4 AsymmetricPricing: {L,H} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89 3.5 EquilibriumObfuscationI . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 3.6 EquilibriumObfuscationII. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 4.1 EquilibriumPricing: δ < δc . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123 4.2 ProbabilityAssignedtoLowComplexity . . . . . . . . . . . . . . . . . . . . . . . . . 132 4.3 PriceDistribution(δ = 0.25) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133 4.4 PriceDistribution(δ = 0.4) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133 iv Chapter 1 Introduction Thisthesisexplorestheincentivesforfirmstointroduceunnecessarycomplexityintotheirpricing schemesorproductinformationwiththeintentionofconfusingconsumers,apracticethatindus- trial economists refer to as strategic obfuscation. This type of behaviour includes firms decom- posing their price into excessively many components, using non-standard terminology or mea- surements to express their price, using mathematically complex prices and updating their prices frequently. Obfuscation also includes the ability of firms to increase the difficulty, time or effort requiredforconsumerstolocateaproductoritsprice,withinastoreoronawebsite. Obfuscation is a growing concern for competition authorities. In the UK, the Competition & Markets Authority reports that complex pricing harms retail market competition by suppressing consumer engagement and limiting switching between sellers.1 Therefore, understanding the precise incentives for a firm to obfuscate, enables competition authorities to formulate policies thatsafeguardconsumersandenhancethecompetitiveprocess. This thesis is organised as three related articles with distinct contributions. In Chapter 2, I presentacomprehensivereviewofboththetheoryandevidencerelatingtoobfuscationandprice competition. Theprimarycontributionistoprovideanoverviewofthissubstantialbodyofliter- ature. Thesecondarycontributionistohighlightseveralinconsistenciesacrossthisresearcharea. Thismotivatesfurtherstudyandthesubsequentchapterscontainedinthisthesis. In Chapter 2, I also review how consumers tend to respond to obfuscation strategies of firms in retail markets, which remains an under-researched topic. I document strong evidence for a simplicity bias by consumers, according to which buyers actively discriminate against firms that obfuscatetheirprices. Thisideahasnotbeenfullyexploredinthecontextofstrategicobfuscation anddrawsinsightsfromtherelateddisciplinesofLaw,MarketingandPsychology. In Chapter 3, I present a model in which each firm selects a pricing scheme that consists of a price for their product and a complexity level with which to present their price. In the game, 1www.gov.uk/government/news/cma-proposes-better-deal-for-bank-customers.www.gov.uk/government/news/cma- sets-out-case-for-energy-market-reform.Accessed03/16. 1 Chapter1.0 firmscommittothecomplexityoftheirpricingschemebeforeselectingtheirprice. Thiscaptures the idea that prices can be adjusted quickly but the complexity of the pricing scheme requires a longer time to adjust. Therefore, obfuscation in this model might specifically include: The ease withwhichconsumerscannavigateafirm’swebsitetoidentifytheprice,orthecomplexityofthe termsandconditionsattachedtotheproduct’sprice. One contribution of Chapter 3 is to formally introduce the idea that consumers are biased to- wards simple pricing schemes and to investigate this idea further than has been considered by previousstudies. Thecentraltensionborneoutinthemodelisthatafirmcansoftenpricecompe- titioninthemarketbyobfuscatingitsprices,whichpreventsmoreconsumersfromidentifyingthe seller with the lowest price. This incentivises firms to obfuscate their prices. However, confused consumersprefertopurchasefromthefirmwiththeleastcomplexpricingscheme. Therefore,the sellerthatobfuscatesmostwillobtainasmallerfractionoftheconsumerswhoareconfused. This placesdownwardpressureontheincentiveforeachfirmtoobfuscate. Inequilibrium,thisincentivestructureinducesamixedstrategyinbothpricesandobfuscation forfirms. Therefore,sellersrandomiseboththeirpriceandthecomplexityoftheirpriceaccording towell-definedprobabilitydistributionfunctions. Thisisconsistentwiththebehaviouroffirmsin modern retail markets. In addition, the firm with the least complex pricing structure will charge the highest price, to capitalise on consumers’ preferences for simple pricing. If the simplicity biases of confused consumers are removed from the model, firms universally select maximum obfuscationandfollowamixedstrategyinpricingtheirproduct. The impact of simplicity biased consumers on consumer welfare is particularly novel and in- teresting. Simplicity biased consumers buy from the firm with the lowest obfuscation and this firm charges the highest prices, which increases firm profit. However, the presence of simplicity biased consumers exerts downward pressure on the incentives for firms to obfuscate. This leads to lower obfuscation and enables more consumers to understand prices. Price competition sub- sequently intensifies and firm profit decreases. It is demonstrated that the presence of simplicity biasedconsumers,whoarebiasedtowardsthesimplestandmostexpensivefirm,canreduceav- eragepricesinthemarketandincreaseconsumerwelfare. Inthisdirection,Chapter3investigates theimplicationsofpoliciestoinformconsumersthatfirmsmayattachapricepremiumtosimple pricingschemes. Ishowthatsuchpoliciescanoftenleaveconsumersworseoff. InChapter4, IconsiderarestatementofthemodeldevelopedinChapter3. Theprimarydif- ferenceisthatfirmsselecttheirpriceandobfuscationlevelsimultaneously. Thiscapturesmarket settings in which obfuscation and prices are both instantaneously adjustable. Therefore, obfus- cation in this framework includes: The quantity of dimensions used in a pricing scheme and the complexityoftheunitsusedtoexpressthetotalprice. 2 Chapter1.0 InthefullysimultaneousframeworkinChapter4,thefirmwiththehighestpricechoosesthe most complex price scheme. The intuition follows that the least competitive firm benefits most from confusing consumers because consumers who are able to evaluate prices will always buy fromthecheaperrival. Therefore,consumerswhoarebiasedtowardsthesimplestpricingscheme will obtain a lower price than if they had selected a seller at random. The welfare impact of the simplicity bias is also now unidirectional. Biased consumers purchase from the cheapest seller and their presence continues to suppress firms’ obfuscation incentives, which always increases consumerwelfare. In a series of extensions, I develop the model to explore the implications of several consumer protection and competition policies. This includes policies that influence consumers’ aversion to complex prices, and policies that enable more consumers to compare the prices available for any given level of market complexity. The strength of consumers’ preference for simple pricing, termed the degree of simplicity bias, is also endogenised as a function of both regulatory policy andfirms’advertisingcampaigns. Thissharpensourunderstandingofthecircumstancesinwhich itisprofitableforfirmstostimulateandsuppressconsumers’biases. In Chapter 4, I also distinguish between obfuscation and advertising. This distinction is not present in mainstream models of obfuscation. The strategy for each firm now consists of three dimensions: Pricing, obfuscation and advertising. Obfuscation determines the fraction of con- sumers who are able to compare prices. Advertising determines whether consumers perceive a firm’spricetobesimpleorcomplex. Therefore,afirmintheextendedmodelisabletocombinean intrinsicallycomplicatedpriceschemethatisdifficultforconsumerstocompare,withadvertising that makes the price scheme appear simple. I show that this distinction elicits a novel form of falseadvertisingthathasbecomeacommonpracticeinretailmarketsbutisabsentfromacademic research. InChapter5,Iconcludethisthesisbydiscussingtheoverarchingcontributionsofthemodels in the context of the wider literature. I also outline several specific avenues for further research thatbuildsdirectlyontheworkreportedinthisthesis. 3

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Yiquan's expertise in the application of Game Theory to topics in. Industrial Thirdly, I must thank the members of the Microeconomics Research Group at the Uni- Available at www.ucl.ac.uk/ uctpbwa/papers/price-framing.pdf.
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