IDEAS home Printed from https://ideas.repec.org/p/bol/bodewp/400.html
   My bibliography  Save this paper

Advertising in a Differential Game of Spatial Competition

Author

Listed:
  • G. Bertuzzi
  • L. Lambertini

Abstract

We investigate a dynamic duopoly game with horizontal product differentiation, to show that the standard approach to spatial competition fails to produce a pure strategy equilibrium in prices when treated in a differential game framework. This holds independently of the shape of the transportation cost function. Then, we introduce an endogenous costs associated with the choice of location and characterize the open-loop and closed-loop equilibria of the model, showing that in the closed-loop case firms invest more in product differentiation and less in advertising, than they do in the open-loop setting. This happens because the gains from product differentiation can be more easily internalised than those associated with advertising.

Suggested Citation

  • G. Bertuzzi & L. Lambertini, 2001. "Advertising in a Differential Game of Spatial Competition," Working Papers 400, Dipartimento Scienze Economiche, Universita' di Bologna.
    • Handle: RePEc:bol:bodewp:400
    as

    Download full text from publisher

    File URL: https://amsacta.unibo.it/4901/1/400.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Dos Santos Ferreira, Rodolphe & Thisse, Jacques-Francois, 1996. "Horizontal and vertical differentiation: The Launhardt model," International Journal of Industrial Organization, Elsevier, vol. 14(4), pages 485-506, June.
    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. R. Cellini & L. Lambertini, 2000. "Dynamic Oligopoly with Sticky Prices: Closed-Loop,Feedback and Open-Loop Solutions," Working Papers 393, Dipartimento Scienze Economiche, Universita' di Bologna.
    4. de Palma, A, et al, 1985. "The Principle of Minimum Differentiation Holds under Sufficient Heterogeneity," Econometrica, Econometric Society, vol. 53(4), pages 767-781, July.
    5. Tabuchi, Takatoshi & Thisse, Jacques-Francois, 1995. "Asymmetric equilibria in spatial competition," International Journal of Industrial Organization, Elsevier, vol. 13(2), pages 213-227.
    6. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, December.
    7. Driskill, Robert A. & McCafferty, Stephen, 1989. "Dynamic duopoly with adjustment costs: A differential game approach," Journal of Economic Theory, Elsevier, vol. 49(2), pages 324-338, December.
    8. 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.
    9. Kohlberg, Elon & Novshek, William, 1982. "Equilibrium in a simple price-location model," Economics Letters, Elsevier, vol. 9(1), pages 7-15.
    10. Anderson, Simon, 1987. "Spatial competition and price leadership," International Journal of Industrial Organization, Elsevier, vol. 5(4), pages 369-398.
    11. repec:ulb:ulbeco:2013/1759 is not listed on IDEAS
    12. d'Aspremont, C & Gabszewicz, Jean Jaskold & Thisse, J-F, 1979. "On Hotelling's "Stability in Competition"," Econometrica, Econometric Society, vol. 47(5), pages 1145-1150, September.
    13. 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.
    14. Novshek, William, 1980. "Equilibrium in simple spatial (or differentiated product) models," Journal of Economic Theory, Elsevier, vol. 22(2), pages 313-326, April.
    15. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    16. Anderson, Simon P. & Goeree, Jacob K. & Ramer, Roald, 1997. "Location, Location, Location," Journal of Economic Theory, Elsevier, vol. 77(1), pages 102-127, November.
    17. Fershtman, Chaim & Kamien, Morton I, 1987. "Dynamic Duopolistic Competition with Sticky Prices," Econometrica, Econometric Society, vol. 55(5), pages 1151-1164, September.
    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. 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.

    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. Bertuzzi, Giorgia & Lambertini, Luca, 2010. "Existence of equilibrium in a differential game of spatial competition with advertising," Regional Science and Urban Economics, Elsevier, vol. 40(2-3), pages 155-160, May.
    2. L. Lambertini, 2001. "Dynamic Hotelling Duopoly with Linear Transportation Costs," Working Papers 398, Dipartimento Scienze Economiche, Universita' di Bologna.
    3. Barigozzi, Francesca & Ma, Ching-to Albert, 2018. "Product differentiation with multiple qualities," International Journal of Industrial Organization, Elsevier, vol. 61(C), pages 380-412.
    4. Lambertini, Luca, 2002. "Equilibrium locations in a spatial model with sequential entry in real time," Regional Science and Urban Economics, Elsevier, vol. 32(1), pages 47-58, January.
    5. Belleflamme,Paul & Peitz,Martin, 2015. "Industrial Organization," Cambridge Books, Cambridge University Press, number 9781107687899, July.
    6. Matteo Bassi & Marco Pagnozzi & Salvatore Piccolo, 2015. "Product Differentiation by Competing Vertical Hierarchies," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 24(4), pages 904-933, October.
    7. Cellini, Roberto & Lambertini, Luca, 2007. "A differential oligopoly game with differentiated goods and sticky prices," European Journal of Operational Research, Elsevier, vol. 176(2), pages 1131-1144, January.
    8. Brekke, Kurt R. & Straume, Odd Rune, 2004. "Bilateral monopolies and location choice," Regional Science and Urban Economics, Elsevier, vol. 34(3), pages 275-288, May.
    9. Fournier, Gaëtan & Van Der Straeten, Karine & Weibull, Jörgen W., 2020. "Spatial competition with unit-demand functions," TSE Working Papers 20-1072, Toulouse School of Economics (TSE).
    10. Vernasca, Gianluigi, 2003. "Dynamic Price Competition With Price Adjustment Costs And Product Differentiation," The Warwick Economics Research Paper Series (TWERPS) 681, University of Warwick, Department of Economics.
    11. Manfred Stadler, 2019. "Location in a Disk City with Consumer Concentration Around the Center," Schmalenbach Business Review, Springer;Schmalenbach-Gesellschaft, vol. 71(1), pages 35-50, February.
    12. Gupta, Barnali & Lai, Fu-Chuan & Pal, Debashis & Sarkar, Jyotirmoy & Yu, Chia-Ming, 2004. "Where to locate in a circular city?," International Journal of Industrial Organization, Elsevier, vol. 22(6), pages 759-782, June.
    13. Hehenkamp, Burkhard & Wambach, Achim, 2010. "Survival at the center--The stability of minimum differentiation," Journal of Economic Behavior & Organization, Elsevier, vol. 76(3), pages 853-858, December.
    14. 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.
    15. 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.
    16. Régis Chenavaz & Sajjad M. Jasimuddin, 2017. "An analytical model of the relationship between product quality and advertising," Post-Print hal-01685892, HAL.
    17. Drezner, Zvi & Eiselt, H.A., 2024. "Competitive location models: A review," European Journal of Operational Research, Elsevier, vol. 316(1), pages 5-18.
    18. Bonein, Aurélie & Turolla, Stéphane, 2009. "Sequential location under one-sided demand uncertainty," Research in Economics, Elsevier, vol. 63(3), pages 145-159, September.
    19. Rhee, Byong-Duk, 2006. "First-mover disadvantages with idiosyncratic consumer tastes along unobservable characteristics," Regional Science and Urban Economics, Elsevier, vol. 36(1), pages 99-117, January.
    20. Lambertini, Luca, 1997. "Unicity of the equilibrium in the unconstrained Hotelling model," Regional Science and Urban Economics, Elsevier, vol. 27(6), pages 785-798, November.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:bol:bodewp:400. 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: Dipartimento Scienze Economiche, Universita' di Bologna (email available below). General contact details of provider: https://edirc.repec.org/data/sebolit.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.