IDEAS home Printed from https://ideas.repec.org/a/gam/jgames/v13y2022i3p37-d810269.html
   My bibliography  Save this article

Asymmetric Horizontal Differentiation under Advertising in a Cournot Duopoly

Author

Listed:
  • Malcolm Brady

    (Business School, Dublin City University, D09 Y5N0 Dublin, Ireland)

Abstract

Horizontal differentiation is generally derived from the aggregate utility function and is assumed to be symmetric. However, empirical work suggests that asymmetric horizontal differentiation can exist in practice. This paper examines the topic of asymmetric horizontal differentiation by allowing a firm’s costly advertising to have a different impact on its own demand function than it does on that of its rival. This leads to the interesting analytical result that advertising that increases the cross-price effect of its rival can lead to an increase in firm profits. This introduces the possibility of a ‘couple’ effect where firm advertising can tilt its own and its rival’s demand functions in different directions. Several competitive advertising ‘couple’ scenarios are explored using numerical simulation.

Suggested Citation

  • Malcolm Brady, 2022. "Asymmetric Horizontal Differentiation under Advertising in a Cournot Duopoly," Games, MDPI, vol. 13(3), pages 1-14, May.
  • Handle: RePEc:gam:jgames:v:13:y:2022:i:3:p:37-:d:810269
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2073-4336/13/3/37/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2073-4336/13/3/37/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Victor J. Tremblay & Carol Horton Tremblay & Kosin Isariyawongse, 2013. "Cournot and Bertrand Competition when Advertising Rotates Demand: The Case of Honda and Scion," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 20(1), pages 125-141, February.
    2. Piga, Claudio A. G., 2000. "Competition in a duopoly with sticky price and advertising," International Journal of Industrial Organization, Elsevier, vol. 18(4), pages 595-614, May.
    3. Stephen Martin, 2009. "Microfoundations for the Linear Demand Product Differentiation Model, with Applications," Purdue University Economics Working Papers 1221, Purdue University, Department of Economics.
    4. Christoph Zott, 2003. "Dynamic capabilities and the emergence of intraindustry differential firm performance: insights from a simulation study," Strategic Management Journal, Wiley Blackwell, vol. 24(2), pages 97-125, February.
    5. Amr Farahat & Georgia Perakis, 2011. "TECHNICAL NOTE---A Comparison of Bertrand and Cournot Profits in Oligopolies with Differentiated Products," Operations Research, INFORMS, vol. 59(2), pages 507-513, April.
    6. Jean-Pierre Dubé & Puneet Manchanda, 2005. "Differences in Dynamic Brand Competition Across Markets: An Empirical Analysis," Marketing Science, INFORMS, vol. 24(1), pages 81-95, September.
    7. Gasmi, F & Laffont, J J & Vuong, Q, 1992. "Econometric Analysis of Collusive Behavior in a Soft-Drink Market," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 1(2), pages 277-311, Summer.
    8. Choné, Philippe & Linnemer, Laurent, 2020. "Linear demand systems for differentiated goods: Overview and user’s guide," International Journal of Industrial Organization, Elsevier, vol. 73(C).
    9. Avinash Dixit, 1979. "A Model of Duopoly Suggesting a Theory of Entry Barriers," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 20-32, Spring.
    10. Nelson, Philip, 1974. "Advertising as Information," Journal of Political Economy, University of Chicago Press, vol. 82(4), pages 729-754, July/Aug..
    11. R. Cellini & L. Lambertini, 2003. "Advertising in a Differential Oligopoly Game," Journal of Optimization Theory and Applications, Springer, vol. 116(1), pages 61-81, January.
    12. Lola Esteban & José M. Hernández & José Luis Moraga‐González, 2006. "Customer Directed Advertising and Product Quality," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 15(4), pages 943-968, December.
    13. Nicholas Kaldor, 1950. "The Economic Aspects of Advertising," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 18(1), pages 1-27.
    14. John D. Sterman & Rebecca Henderson & Eric D. Beinhocker & Lee I. Newman, 2007. "Getting Big Too Fast: Strategic Dynamics with Increasing Returns and Bounded Rationality," Management Science, INFORMS, vol. 53(4), pages 683-696, April.
    15. Claudio A. Piga, 1998. "A Dynamic Model of Advertising and Product Differentiation," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 13(5), pages 509-522, October.
    16. Malcolm Brady, 2021. "A Game-Theoretic Model of Strategic Interaction Using Advertising: Simulating the Evolution of the Cournot Nash Equilibrium under Different Competitive Scenarios," Games, MDPI, vol. 12(4), pages 1-16, November.
    17. Gila E. Fruchter & Shlomo Kalish, 1997. "Closed-Loop Advertising Strategies in a Duopoly," Management Science, INFORMS, vol. 43(1), pages 54-63, January.
    18. Ramla Jarrar & Guiomar Martín-Herrán & Georges Zaccour, 2004. "Markov Perfect Equilibrium Advertising Strategies of Lanchester Duopoly Model: A Technical Note," Management Science, INFORMS, vol. 50(7), pages 995-1000, July.
    19. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    20. Longhua Liu & X. Henry Wang & Chenhang Zeng, 2020. "Endogenous Horizontal Product Differentiation in a Mixed Duopoly," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 56(3), pages 435-462, May.
    21. Gori, Luca & Sodini, Mauro & Fanti, Luciano, 2015. "A nonlinear Cournot duopoly with advertising," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 178-190.
    22. Frank M. Bass & Anand Krishnamoorthy & Ashutosh Prasad & Suresh P. Sethi, 2005. "Generic and Brand Advertising Strategies in a Dynamic Duopoly," Marketing Science, INFORMS, vol. 24(4), pages 556-568, February.
    23. Amir, Rabah & Erickson, Philip & Jin, Jim, 2017. "On the microeconomic foundations of linear demand for differentiated products," Journal of Economic Theory, Elsevier, vol. 169(C), pages 641-665.
    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. Stanislav Stoykov & Ivan Kostov, 2023. "Price Competition with Differentiated Products on a Two-Dimensional Plane: The Impact of Partial Cartel on Firms’ Profits and Behavior," Games, MDPI, vol. 14(2), pages 1-25, March.

    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. Malcolm Brady, 2021. "A Game-Theoretic Model of Strategic Interaction Using Advertising: Simulating the Evolution of the Cournot Nash Equilibrium under Different Competitive Scenarios," Games, MDPI, vol. 12(4), pages 1-16, November.
    2. Wang, Shinn-Shyr & Stiegert, Kyle W., 2006. "The Duopolistic Firm with Endogenous Risk Control: Case of Persuasive Advertising and Product Differentiation," Staff Paper Series 496, University of Wisconsin, Agricultural and Applied Economics.
    3. Wang, Shinn-Shyr & Stiegert, Kyle W., 2006. "The Duopolistic Firm with Endogenous Risk Control: Case of Persuasive Advertising and Product Differentiation," Staff Papers 12606, University of Wisconsin-Madison, Department of Agricultural and Applied Economics.
    4. Huang, Jian & Leng, Mingming & Liang, Liping, 2012. "Recent developments in dynamic advertising research," European Journal of Operational Research, Elsevier, vol. 220(3), pages 591-609.
    5. Choné, Philippe & Linnemer, Laurent, 2020. "Linear demand systems for differentiated goods: Overview and user’s guide," International Journal of Industrial Organization, Elsevier, vol. 73(C).
    6. Jean‐Baptiste Tondji, 2022. "Overconfidence and welfare in a differentiated duopoly," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(3), pages 751-767, April.
    7. Gary M. Erickson, 2009. "Advertising Competition in a Dynamic Oligopoly with Multiple Brands," Operations Research, INFORMS, vol. 57(5), pages 1106-1113, October.
    8. Neelanjan Sen & Uday Bhanu Sinha, 2023. "When to merge with a lower quality producer?," Journal of Economics, Springer, vol. 138(2), pages 165-188, March.
    9. Amir, Rabah & Jin, Jim Y. & Lasselle, Laurence, 2023. "Uniform, efficient and independent Ramsey taxes across markets," Games and Economic Behavior, Elsevier, vol. 138(C), pages 373-386.
    10. Régis Chenavaz & Sajjad M. Jasimuddin, 2017. "An analytical model of the relationship between product quality and advertising," Post-Print hal-01685892, HAL.
    11. Yingjue Zhou & Tieming Liu & Gangshu Cai, 2019. "Impact of In-Store Promotion and Spillover Effect on Private Label Introduction," Service Science, INFORMS, vol. 11(2), pages 96-112, June.
    12. Dinah A. Cohen-Vernik & Li Yang & Amit Pazgal, 2022. "Strategic Delegation with Differentiated Products," Customer Needs and Solutions, Springer;Institute for Sustainable Innovation and Growth (iSIG), vol. 9(3), pages 66-73, December.
    13. Alderighi, Marco & Bianchi, Carluccio & Lorenzini, Eleonora, 2016. "The impact of local food specialities on the decision to (re)visit a tourist destination: Market-expanding or business-stealing?," Tourism Management, Elsevier, vol. 57(C), pages 323-333.
    14. Andrea Mantovani & Giordano Mion, 2006. "Advertising and endogenous exit in a differentiated duopoly," Recherches économiques de Louvain, De Boeck Université, vol. 72(1), pages 19-48.
    15. Quan Zheng & Xiajun Amy Pan & Asoo J. Vakharia, 2020. "Common Retailer Channel Revisited: The Role of Supply Network Size," Production and Operations Management, Production and Operations Management Society, vol. 29(9), pages 2175-2181, September.
    16. Sartzetakis, Eftichis & Xepapadeas, Anastasios & Petrakis, Emmanuel, 2008. "The role of information provision as a policy instrument to supplement environmental taxes: Empowering consumers to choose optimally," MPRA Paper 12083, University Library of Munich, Germany.
    17. Minas Vlassis & Stefanos Mamakis, 2016. "Is Price Competition More Efficient than Quantity Competition? A Reversal with Unionized Oligopolists," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 49(1), pages 103-126, August.
    18. Ulrich Doraszelski & Sarit Markovich, 2004. "Advertising Dynamics and Competitive Advantage," Computing in Economics and Finance 2004 61, Society for Computational Economics.
    19. Olivier Gossner & Jakub Steiner & Colin Stewart, 2021. "Attention Please!," Econometrica, Econometric Society, vol. 89(4), pages 1717-1751, July.
    20. Rauch, Ferdinand, 2013. "Advertising expenditure and consumer prices," International Journal of Industrial Organization, Elsevier, vol. 31(4), pages 331-341.

    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:gam:jgames:v:13:y:2022:i:3:p:37-:d:810269. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.