IDEAS home Printed from https://ideas.repec.org/p/rim/rimwps/48_07.html
   My bibliography  Save this paper

Dynamic Advertising with Spillovers: Cartel vs Competitive Fringe

Author

Listed:
  • Luca Lambertini

    (University of Bologna and The Rimini Centre for Economics Analysis, Italy)

  • Arsen Palestini

    (University of Bologna, Italy)

Abstract

A differential oligopoly game with advertising is investigated, where different dynamics occur between two groups of agents, the former playing a competitive Nash game and the latter cooperating as a cartel. Sufficient conditions for stability and a qualitative analysis of the profit ratio and social welfare at equilibrium are provided. A threshold value for the size of the competitive fringe is pointed out by a suitable numerical simulation.

Suggested Citation

  • Luca Lambertini & Arsen Palestini, 2007. "Dynamic Advertising with Spillovers: Cartel vs Competitive Fringe," Working Paper series 48_07, Rimini Centre for Economic Analysis.
  • Handle: RePEc:rim:rimwps:48_07
    as

    Download full text from publisher

    File URL: http://www.rcea.org/RePEc/pdf/wp48_07.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    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. Tenryu, Yohei & Kamei, Keita, 2014. "Welfare Analysis of Dynamic Voluntary Advertising in Covered Markets," MPRA Paper 60694, University Library of Munich, Germany.
    2. Yohei Tenryu & Keita Kamei, 2014. "Dynamic Voluntary Advertising under Partial Market Coverage," KIER Working Papers 909, Kyoto University, Institute of Economic Research.

    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. Philipp Afèche & Mojtaba Araghi & Opher Baron, 2017. "Customer Acquisition, Retention, and Service Access Quality: Optimal Advertising, Capacity Level, and Capacity Allocation," Manufacturing & Service Operations Management, INFORMS, vol. 19(4), pages 674-691, October.
    2. Prasad A. Naik & Murali K. Mantrala & Alan G. Sawyer, 1998. "Planning Media Schedules in the Presence of Dynamic Advertising Quality," Marketing Science, INFORMS, vol. 17(3), pages 214-235.
    3. Richards, Timothy J. & Patterson, Paul M., 2000. "New Varieties And The Returns To Commodity Promotion: The Case Of Fuji Apples," Agricultural and Resource Economics Review, Northeastern Agricultural and Resource Economics Association, vol. 29(1), pages 1-14, April.
    4. Richards, Timothy J. & Patterson, Paul M., 1998. "New Varieties and the Returns to Commodity Promotion: Washington Fuji Apples," Working Papers 28541, Arizona State University, Morrison School of Agribusiness and Resource Management.
    5. Kort, P.M. & Feichtinger, G. & Hartl, R.F. & Haunschmied, J.L., 1996. "Optimal Enforcement Policies (Crackdowns) on a Drug Market," Other publications TiSEM 8f874586-670a-470a-95a6-b, Tilburg University, School of Economics and Management.
    6. Luca Lambertini, 2014. "Dynamic Analysis of an Electoral Campaign," Dynamic Modeling and Econometrics in Economics and Finance, in: Josef Haunschmied & Vladimir M. Veliov & Stefan Wrzaczek (ed.), Dynamic Games in Economics, edition 127, pages 187-204, Springer.
    7. L. Colombo & L. Lambertini, 2003. "Dynamic Advertising Under Vertical Product Differentiation," Journal of Optimization Theory and Applications, Springer, vol. 119(2), pages 261-280, November.
    8. André, Francisco J. & Sokri, Abderrahmane & Zaccour, Georges, 2011. "Public Disclosure Programs vs. traditional approaches for environmental regulation: Green goodwill and the policies of the firm," European Journal of Operational Research, Elsevier, vol. 212(1), pages 199-212, July.
    9. Abedi, Vahideh Sadat, 2019. "Compartmental diffusion modeling: Describing customer heterogeneity & communication network to support decisions for new product introductions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    10. Olivier Rubel & Prasad A. Naik & Shuba Srinivasan, 2011. "Optimal Advertising When Envisioning a Product-Harm Crisis," Marketing Science, INFORMS, vol. 30(6), pages 1048-1065, November.
    11. Helmes, Kurt L. & Schlosser, Rainer, 2013. "Dynamic advertising and pricing with constant demand elasticities," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2814-2832.
    12. F. Gozzi & C. Marinelli & S. Savin, 2009. "On Controlled Linear Diffusions with Delay in a Model of Optimal Advertising under Uncertainty with Memory Effects," Journal of Optimization Theory and Applications, Springer, vol. 142(2), pages 291-321, August.
    13. Mercedes Esteban-Bravo & José Múgica & Jose Vidal-Sanz, 2005. "Optimal Duration of Magazine Promotions," Marketing Letters, Springer, vol. 16(2), pages 99-114, April.
    14. Marc Artzrouni & Patrice Cassagnard, 2010. "The Discrete Nerlove-Arrow Model: Explicit Solutions," Working papers of CATT hal-01880358, HAL.
    15. Lambertini, Luca & Orsini, Raimondello & Palestini, Arsen, 2017. "On the instability of the R&D portfolio in a dynamic monopoly. Or, one cannot get two eggs in one basket," International Journal of Production Economics, Elsevier, vol. 193(C), pages 703-712.
    16. Marc Artzrouni & Patrice Cassagnard, 2017. "Nerlove–Arrow: A New Solution to an Old Problem," Journal of Optimization Theory and Applications, Springer, vol. 172(1), pages 267-280, January.
    17. L. Lambertini & R. Orsini, 2014. "Process Innovation and Product Quality Improvement in a Dynamic Monopoly," Working Papers wp926, Dipartimento Scienze Economiche, Universita' di Bologna.
    18. Shengqi Ye & Goker Aydin & Shanshan Hu, 2015. "Sponsored Search Marketing: Dynamic Pricing and Advertising for an Online Retailer," Management Science, INFORMS, vol. 61(6), pages 1255-1274, June.
    19. D. Favaretto & B. Viscolani, 1996. "Optimal purchase and advertising for a product with immediate sale start," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 4(2), pages 301-318, December.
    20. Huberman, Bernardo & Wu, Fang, 2006. "Comparative Advante and Efficient Advertising in the Attention Economy," MPRA Paper 928, University Library of Munich, Germany.

    More about this item

    Keywords

    Advertising; Differential games; Oligopoly; Collusion;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D92 - Microeconomics - - Micro-Based Behavioral Economics - - - Intertemporal Firm Choice, Investment, Capacity, and Financing
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • M37 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Marketing and Advertising - - - Advertising

    Statistics

    Access and download statistics

    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:rim:rimwps:48_07. 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: Marco Savioli (email available below). General contact details of provider: https://edirc.repec.org/data/rcfeait.html .

    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.