IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v33y2009i3p583-596.html
   My bibliography  Save this article

Optimal pricing and advertising policies for an entertainment event

Author

Listed:
  • Jørgensen, Steffen
  • Kort, Peter M.
  • Zaccour, Georges

Abstract

The paper suggests an optimal control model to determine optimal pricing and advertising policies for a one-time entertainment event. There are two periods, an initial period of regular price sales and a terminal period of last-minute sales at a (possibly) reduced price. The price in a period is constant over time. In the initial period, the organizers of the event advertise the event to potential attendees. If tickets are sold out by the end of the first period, there will be no last-minute sales. We find that advertising should be decreased over time during the first period. There are three different advertising scenarios: it may be optimal not to advertise at all, to advertise at a positive rate until the end of the first period, or to stop advertising at an earlier instant of time. In the last-minute sales, the organizers implement a feedback pricing policy such that the selected price depends on the number of tickets that have been sold in the regular sales period. Finally, we establish optimality conditions for the time instant where to switch to last-minute sales.

Suggested Citation

  • Jørgensen, Steffen & Kort, Peter M. & Zaccour, Georges, 2009. "Optimal pricing and advertising policies for an entertainment event," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 583-596, March.
    • Handle: RePEc:eee:dyncon:v:33:y:2009:i:3:p:583-596
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-1889(08)00148-6
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Dan Horsky & Leonard S. Simon, 1983. "Advertising and the Diffusion of New Products," Marketing Science, INFORMS, vol. 2(1), pages 1-17.
    2. Youyi Feng & Guillermo Gallego, 1995. "Optimal Starting Times for End-of-Season Sales and Optimal Stopping Times for Promotional Fares," Management Science, INFORMS, vol. 41(8), pages 1371-1391, August.
    3. Raphael Amit, 1986. "Petroleum Reservoir Exploitation: Switching from Primary to Secondary Recovery," Operations Research, INFORMS, vol. 34(4), pages 534-549, August.
    4. Frank M. Bass, 1969. "A New Product Growth for Model Consumer Durables," Management Science, INFORMS, vol. 15(5), pages 215-227, January.
    5. Engelbert Dockner & Steffen Jørgensen, 1988. "Optimal Pricing Strategies for New Products in Dynamic Oligopolies," Marketing Science, INFORMS, vol. 7(4), pages 315-334.
    6. Gustav Feichtinger & Richard F. Hartl & Suresh P. Sethi, 1994. "Dynamic Optimal Control Models in Advertising: Recent Developments," Management Science, INFORMS, vol. 40(2), pages 195-226, February.
    7. Shlomo Kalish & Gary L. Lilien, 1983. "Optimal Price Subsidy Policy for Accelerating the Diffusion Of Innovation," Marketing Science, INFORMS, vol. 2(4), pages 407-420.
    8. Bruce Robinson & Chet Lakhani, 1975. "Dynamic Price Models for New-Product Planning," Management Science, INFORMS, vol. 21(10), pages 1113-1122, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. L. Grosset & B. Viscolani, 2010. "Advertising Events in a Competitive Framework," Journal of Optimization Theory and Applications, Springer, vol. 146(2), pages 375-385, August.
    2. Chenavaz, Régis Y. & Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M., 2020. "Modeling the impact of product quality on dynamic pricing and advertising policies," European Journal of Operational Research, Elsevier, vol. 284(3), pages 990-1001.
    3. Régis Chenavaz & Sajjad M. Jasimuddin, 2017. "An analytical model of the relationship between product quality and advertising," Post-Print hal-01685892, HAL.
    4. Piergiuseppe Morone & Richard Taylor, 2011. "Knowledge Diffusion and Innovation: Modelling Complex Entrepreneurial Behaviours by Piergiuseppe Morone and Richard Taylor: A Response to the Review," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 14(2), pages 1-7.
    5. Jacek Krawczyk & Christopher Sissons & Daniel Vincent, 2012. "Optimal versus satisfactory decision making: a case study of sales with a target," Computational Management Science, Springer, vol. 9(2), pages 233-254, May.
    6. Jørgensen, Steffen & Zaccour, Georges, 2019. "Optimal pricing and advertising policies for a one-time entertainment event," Journal of Economic Dynamics and Control, Elsevier, vol. 100(C), pages 395-416.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Teng, Jinn-Tsair & Thompson, Gerald L., 1996. "Optimal strategies for general price-quality decision models of new products with learning production costs," European Journal of Operational Research, Elsevier, vol. 93(3), pages 476-489, September.
    2. Swami, Sanjeev & Dutta, Arindam, 2010. "Advertising strategies for new product diffusion in emerging markets: Propositions and analysis," European Journal of Operational Research, Elsevier, vol. 204(3), pages 648-661, August.
    3. Barnes, Belinda & Southwell, Darren & Bruce, Sarah & Woodhams, Felicity, 2014. "Additionality, common practice and incentive schemes for the uptake of innovations," Technological Forecasting and Social Change, Elsevier, vol. 89(C), pages 43-61.
    4. Donald Lehmann & Mercedes Esteban-Bravo, 2006. "When giving some away makes sense to jump-start the diffusion process," Marketing Letters, Springer, vol. 17(4), pages 243-254, December.
    5. Avagyan, Vardan & Esteban-Bravo, Mercedes & Vidal-Sanz, Jose M., 2014. "Licensing radical product innovations to speed up the diffusion," European Journal of Operational Research, Elsevier, vol. 239(2), pages 542-555.
    6. S. P. Sethi & A. Prasad & X. He, 2008. "Optimal Advertising and Pricing in a New-Product Adoption Model," Journal of Optimization Theory and Applications, Springer, vol. 139(2), pages 351-360, November.
    7. E. J. Dockner & G. E. Fruchter, 2004. "Dynamic Strategic Pricing and Speed of Diffusion," Journal of Optimization Theory and Applications, Springer, vol. 123(2), pages 331-348, November.
    8. Arda Yenipazarli, 2015. "A road map to new product success: warranty, advertisement and price," Annals of Operations Research, Springer, vol. 226(1), pages 669-694, March.
    9. Régis Chenavaz & Corina Paraschiv & Gabriel Turinici, 2017. "Dynamic Pricing of New Products in Competitive Markets: A Mean-Field Game Approach," Working Papers hal-01592958, HAL.
    10. Ruiz-Conde, Enar & Wieringa, Jaap E. & Leeflang, Peter S.H., 2014. "Competitive diffusion of new prescription drugs: The role of pharmaceutical marketing investment," Technological Forecasting and Social Change, Elsevier, vol. 88(C), pages 49-63.
    11. Wagner A. Kamakura & Siva K. Balasubramanian, 1987. "Long‐term forecasting with innovation diffusion models: The impact of replacement purchases," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 6(1), pages 1-19.
    12. Xu, Mei & Xie, Pu & Xie, Bai-Chen, 2020. "Study of China's optimal solar photovoltaic power development path to 2050," Resources Policy, Elsevier, vol. 65(C).
    13. Avagyan, Vardan & Esteban-Bravo, Mercedes & Vidal-Sanz, Jose M., 2016. "Riding successive product diffusion waves. Building a tsunami via upgrade-rebate programs," International Journal of Research in Marketing, Elsevier, vol. 33(4), pages 780-796.
    14. Martin Hewing, 2012. "A Theoretical and Empirical Comparison of Innovation Diffusion Models Applying Data from the Software Industry," Journal of the Knowledge Economy, Springer;Portland International Center for Management of Engineering and Technology (PICMET), vol. 3(2), pages 125-141, June.
    15. Donald R. Lehmann & Jeffrey R. Parker, 2017. "Disadoption," AMS Review, Springer;Academy of Marketing Science, vol. 7(1), pages 36-51, June.
    16. Jinah Yang & Daiki Min & Jeenyoung Kim, 2020. "The Use of Big Data and Its Effects in a Diffusion Forecasting Model for Korean Reverse Mortgage Subscribers," Sustainability, MDPI, vol. 12(3), pages 1-17, January.
    17. M. Breton & F. Chauny & G. Zaccour, 1997. "Leader–Follower Dynamic Game of New Product Diffusion," Journal of Optimization Theory and Applications, Springer, vol. 92(1), pages 77-98, January.
    18. den Boer, Arnoud V., 2015. "Tracking the market: Dynamic pricing and learning in a changing environment," European Journal of Operational Research, Elsevier, vol. 247(3), pages 914-927.
    19. Mesak, Hani I. & Bari, Abdullahel & Babin, Barry J. & Birou, Laura M. & Jurkus, Anthony, 2011. "Optimum advertising policy over time for subscriber service innovations in the presence of service cost learning and customers' disadoption," European Journal of Operational Research, Elsevier, vol. 211(3), pages 642-649, June.
    20. Liu, John, 2000. "On the dynamics of stochastic diffusion of manufacturing technology," European Journal of Operational Research, Elsevier, vol. 124(3), pages 601-614, August.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:dyncon:v:33:y:2009:i:3:p:583-596. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jedc .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.