Optimal Dynamic Advertising Policies in Digital and Traditional Channels: A Control-Theoretic Approach

References

• Abedi VS, Berman O, Feinberg FM, Krass D (2022) Strategic new product media planning under emergent channel substitution and synergy. Production Oper. Management 31(5):2143–2166.Crossref, Google Scholar
• Aravindakshan A, Rubel O, Rutz O (2015) Managing blood donations with marketing. Marketing Sci. 34(2):269–280.Link, Google Scholar
• Bass FM, Clarke DG (1972) Testing distributed lag models of advertising effect. J. Marketing Res. 9(3):298–308.Crossref, Google Scholar
• Berman R (2018) Beyond the last touch: Attribution in online advertising. Marketing Sci. 37(5):771–792.Link, Google Scholar
• Chawlani Y (2024) What is a good CPM? Understanding CPM for B2B. Accessed February 3, 2025, https://salespanel.io/blog/marketing/what-is-a-good-cpm/.Google Scholar
• Chintagunta PK, Vilcassim NJ (1994) Marketing investment decisions in a dynamic duopoly: A model and empirical analysis. Internat. J. Res. Marketing 11(3):287–306.Crossref, Google Scholar
• Cui TH, Ghose A, Halaburda H, Iyengar R, Pauwels K, Sriram S, Tucker C, Venkataraman S (2021) Informational challenges in omnichannel marketing: Remedies and future research. J. Marketing 85(1):103–120.Crossref, Google Scholar
• Danaher PJ (2023) Optimal microtargeting of advertising. J. Marketing Res. 60(3):564–584.Crossref, Google Scholar
• Dinner IM, Van HJH, Neslin SA (2014) Driving online and offline sales: The cross-channel effects of traditional, online display, and paid search advertising. J. Marketing Res. 51(5):527–545.Crossref, Google Scholar
• Feichtinger G, Hartl RF, Sethi SP (1994) Dynamic optimal control models in advertising: Recent developments. Management Sci. 40(2):195–226.Link, Google Scholar
• Fruchter GE, Kalish S (1998) Dynamic promotional budgeting and media allocation. Eur. J. Oper. Res. 111(1):15–27.Crossref, Google Scholar
• Gatignon H, Hanssens DM (1987) Modeling marketing interactions with application to salesforce effectiveness. J. Marketing Res. 24(3):247–257.Crossref, Google Scholar
• Goldfarb A, Tucker C (2011) Search engine advertising: Channel substitution when pricing ads to context. Management Sci. 57(3):458–470.Link, Google Scholar
• Gopalakrishna S, Chatterjee R (1992) A communications response model for a mature industrial product: Application and implications. J. Marketing Res. 29(2):189–200.Crossref, Google Scholar
• Hartl RF (1984) Optimal dynamic advertising policies for hereditary processes. J. Optim. Theory Appl. 43(1):51–72.Crossref, Google Scholar
• Hu B, Sun Z (2022) Managing self-replicating innovative goods. Management Sci. 68(1):399–419.Link, Google Scholar
• Jørgensen S, Kort PM, Zaccour G (2006) Advertising an event. Automatica 42(8):1349–1355.Crossref, Google Scholar
• Kamien MI, Schwartz NL (1991) Dynamic Optimization: The Calculus of Variations and Optimal Control in Economics and Management (Advanced Textbooks in Economics), vol. 31 (Elsevier Science, Amsterdam).Google Scholar
• Keller KL, Swaminathan V (2019) Strategic Brand Management: Building, Measuring, and Managing Brand Equity (Pearson, Harlow, UK).Google Scholar
• Kwon ES, King KW, Nyilasy G, Reid LN (2019) Impact of media context on advertising memory. J. Advertising Res. 59(1):99–128.Crossref, Google Scholar
• Lemon KN, Verhoef PC (2016) Understanding customer experience throughout the customer journey. J. Marketing 80(6):69–96.Crossref, Google Scholar
• Mandese J (2022) Study benchmarks cheapest/most expensive ad media. Accessed February 3, 2025, https://www.mediapost.com/publications/article/371523/study-benchmarks-cheapestmost-expensive-ad-media.html.Google Scholar
• Mock The Agency (2023) The branding, marketing and design transformation of Airbnb. Accessed July 15, 2024, https://mocktheagency.com/content/branding-marketing-design-transformation-airbnb/.Google Scholar
• Naik PA, Peters K (2009) A hierarchical marketing communications model of online and offline media synergies. J. Interactive Marketing 23(4):288–299.Crossref, Google Scholar
• Naik PA, Raman K (2003) Understanding the impact of synergy in multimedia communications. J. Marketing Res. 40(4):375–388.Crossref, Google Scholar
• Naik PA, Prasad A, Sethi SP (2008) Building brand awareness in dynamic oligopoly markets. Management Sci. 54(1):129–138.Link, Google Scholar
• Naik PA, Raman K, Winer RS (2005) Planning marketing-mix strategies in the presence of interaction effects. Marketing Sci. 24(1):25–34.Link, Google Scholar
• Nerlove M, Arrow KJ (1962) Optimal advertising policy under dynamic conditions. Economica 29(114):129–142.Crossref, Google Scholar
• Olson EJ (2020) Digital vs traditional advertising: How much does each cost? Accessed July 8, 2024, https://thisisarray.com/digital-vs-traditional-advertising-how-much-does-each-cost/.Google Scholar
• Peres R, Van den Bulte C (2014) When to take or forgo new product exclusivity: Balancing protection from competition against word-of-mouth spillover. J. Marketing 78(2):83–100.Crossref, Google Scholar
• Prasad A, Sethi SP (2009) Integrated marketing communications in markets with uncertainty and competition. Automatica 45(3):601–610.Crossref, Google Scholar
• Raman K, Naik PA (2004) Long-term profit impact of integrated marketing communications program. Rev. Marketing Sci. 2(1):0000102202154656161014.Crossref, Google Scholar
• Raman K, Mantrala MK, Sridhar S, Tang YE (2012) Optimal resource allocation with time-varying marketing effectiveness, margins and costs. J. Interactive Marketing 26(1):43–52.Crossref, Google Scholar
• Rodgers S, Thorson E (2017) Digital Advertising: Theory and Research (Routledge, New York).Crossref, Google Scholar
• Sethi SP (2022) Optimal Control Theory: Applications to Management Science and Economics (Springer Texts in Business and Economics) (Springer, Cham, Switzerland).Google Scholar
• Song SX (2025) Digital vs. traditional advertising and the recognition of brand intangible assets. Management Sci. 71(3):2035–2055.Link, Google Scholar
• Summers CA, Smith RW, Reczek RW (2016) An audience of one: Behaviorally targeted ads as implied social labels. J. Consumer Res. 43(1):156–178.Crossref, Google Scholar
• Zhu W, Kumar S, Mookerjee V (2024) Coordination in multibrand, multimedia advertising: Is it always a good thing? Inform. Systems Res. 35(3):1011–1033.Link, Google Scholar