IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v89y2016i12d10.1140_epjb_e2016-70148-9.html
   My bibliography  Save this article

Spatial firm competition in two dimensions with linear transportation costs: simulations and analytical results

Author

Listed:
  • Alan Roncoroni

    (Department of Physics)

  • Matus Medo

    (Department of Physics)

Abstract

Models of spatial firm competition assume that customers are distributed in space and transportation costs are associated with their purchases of products from a small number of firms that are also placed at definite locations. It has been long known that the competition equilibrium is not guaranteed to exist if the most straightforward linear transportation costs are assumed. We show by simulations and also analytically that if periodic boundary conditions in a plane are assumed, the equilibrium exists for a pair of firms at any distance. When a larger number of firms is considered, we find that their total equilibrium profit is inversely proportional to the square root of the number of firms. We end with a numerical investigation of the system’s behavior for a general transportation cost exponent.

Suggested Citation

  • Alan Roncoroni & Matus Medo, 2016. "Spatial firm competition in two dimensions with linear transportation costs: simulations and analytical results," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(12), pages 1-7, December.
    • Handle: RePEc:spr:eurphb:v:89:y:2016:i:12:d:10.1140_epjb_e2016-70148-9
    DOI: 10.1140/epjb/e2016-70148-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/e2016-70148-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1140/epjb/e2016-70148-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. Hay, D A, 1976. "Sequential Entry and Entry-Deterring Strategies in Spatial Competition," Oxford Economic Papers, Oxford University Press, vol. 28(2), pages 240-257, July.
    Full references (including those not matched with items on IDEAS)

    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. Michler, Jeffrey D. & Gramig, Benjamin M., 2012. "Differentiation in a Two-Dimensional Market with Endogenous Sequential Entry," 2012 Annual Meeting, August 12-14, 2012, Seattle, Washington 124845, Agricultural and Applied Economics Association.
    2. Lee, Li Way, 2013. "Merger wave in a small world: Two views," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 43(C), pages 68-71.
    3. Lorenzo Esposito, 2014. "Con Annibale alle porte. L'internazionalizzazione del sistema bancario e il caso italiano," Moneta e Credito, Economia civile, vol. 67(266), pages 311-338.
    4. Aguirre, Inaki & Espinosa, Maria Paz & Macho-Stadler, Ines, 1998. "Strategic entry deterrence through spatial price discrimination," Regional Science and Urban Economics, Elsevier, vol. 28(3), pages 297-314, May.
    5. Byong‐Duk Rhee & André de Palma & Claes Fornell & Jacques‐François Thisse, 1992. "Restoring The Principle Of Minimum Differentiation In Product Positioning," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 1(3), pages 475-505, September.
    6. 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.
    7. De Fraja, Giovanni, 1996. "Product line competition in vertically differentiated markets," International Journal of Industrial Organization, Elsevier, vol. 14(3), pages 389-414, May.
    8. Balvers, Ronald & Szerb, Lazlo, 1996. "Location in the Hotelling duopoly model with demand uncertainty," European Economic Review, Elsevier, vol. 40(7), pages 1453-1461, August.
    9. Bonein, Aurélie & Turolla, Stéphane, 2009. "Sequential location under one-sided demand uncertainty," Research in Economics, Elsevier, vol. 63(3), pages 145-159, September.
    10. Alan Roncoroni & Matus Medo, 2016. "Spatial firm competition in two dimensions with linear transportation costs: simulations and analytical results," Papers 1609.04944, arXiv.org.
    11. Alexei Zakharov, 2009. "A model of candidate location with endogenous valence," Public Choice, Springer, vol. 138(3), pages 347-366, March.
    12. Gabriel Courey, 2018. "Spatial price discrimination, sequential location and convex production costs," Letters in Spatial and Resource Sciences, Springer, vol. 11(2), pages 223-232, July.
    13. Heywood, John S. & Ye, Guangliang, 2009. "Mixed oligopoly and spatial price discrimination with foreign firms," Regional Science and Urban Economics, Elsevier, vol. 39(5), pages 592-601, September.
    14. Laurent d'Ursel, 1983. "Politiques de « non-prix » : Equilibre et optimum," Revue Économique, Programme National Persée, vol. 34(6), pages 1057-1088.
    15. Vasco Rodrigues & Ricardo Gonçalves & Hélder Vasconcelos, 2014. "Anti-Competitive Impact of Pseudo-Generics," Journal of Industry, Competition and Trade, Springer, vol. 14(1), pages 83-98, March.
    16. Bet, Germán, 2021. "Product specification under a threat of entry: Evidence from Airlines’ departure times," International Journal of Industrial Organization, Elsevier, vol. 75(C).
    17. Peter-J. Jost, 2023. "Price commitment and the strategic launch of a fighter brand," Quantitative Marketing and Economics (QME), Springer, vol. 21(3), pages 381-435, September.
    18. Gerard Hoberg & Gordon Phillips, 2016. "Text-Based Network Industries and Endogenous Product Differentiation," Journal of Political Economy, University of Chicago Press, vol. 124(5), pages 1423-1465.
    19. S. Baranzoni & P. Bianchi & L. Lambertini, 2000. "Multiproduct Firms, Product Differentiation, and Market Structure," Working Papers 368, Dipartimento Scienze Economiche, Universita' di Bologna.
    20. Stefan Roth, 1999. "Möglichkeiten und Grenzen ökonomischer Positionierungsmodelle," Schmalenbach Journal of Business Research, Springer, vol. 51(3), pages 243-266, March.

    More about this item

    Keywords

    Statistical and Nonlinear Physics;

    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:spr:eurphb:v:89:y:2016:i:12:d:10.1140_epjb_e2016-70148-9. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.