IDEAS home Printed from https://ideas.repec.org/a/eee/jeborg/v146y2018icp161-179.html
   My bibliography  Save this article

Price competition on graphs

Author

Listed:
  • Heijnen, Pim
  • Soetevent, Adriaan R.

Abstract

This paper extends Hotelling's model of price competition with quadratic transportation costs from a line to graphs. We derive an algorithm to calculate firm-level demand for any given graph, conditional on prices and firm locations. These graph models of price competition may lead to spatial discontinuities in firm-level demand. We show that the existence result of d’Aspremont et al. (1979) does not extend to graphs that cannot be reduced to a line or circle.

Suggested Citation

  • Heijnen, Pim & Soetevent, Adriaan R., 2018. "Price competition on graphs," Journal of Economic Behavior & Organization, Elsevier, vol. 146(C), pages 161-179.
  • Handle: RePEc:eee:jeborg:v:146:y:2018:i:c:p:161-179
    DOI: 10.1016/j.jebo.2017.12.011
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167268117303529
    Download Restriction: Full text for ScienceDirect subscribers only

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

    Other versions of this item:

    References listed on IDEAS

    as
    1. Bollobas, Bela & Stern, Nicholas, 1972. "The optimal structure of market areas," Journal of Economic Theory, Elsevier, vol. 4(2), pages 174-179, April.
    2. Raith, Michael, 1996. "Spatial retail markets with commuting consumers," International Journal of Industrial Organization, Elsevier, vol. 14(4), pages 447-463, June.
    3. Michael Noel, 2009. "Do retail gasoline prices respond asymmetrically to cost shocks? The influence of Edgeworth Cycles," RAND Journal of Economics, RAND Corporation, vol. 40(3), pages 582-595.
    4. Matthew S. Lewis, 2011. "Asymmetric Price Adjustment and Consumer Search: An Examination of the Retail Gasoline Market," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 20(2), pages 409-449, June.
    5. JASKOLD GABSZEWICZ, Jean & THISSE, Jacques-François, 1986. "Spatial competition and the location of firms," CORE Discussion Papers RP 713, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Michael D. Noel, 2007. "EDGEWORTH PRICE CYCLES: EVIDENCE FROM THE TORONTO RETAIL GASOLINE MARKET -super-," Journal of Industrial Economics, Wiley Blackwell, vol. 55(1), pages 69-92, March.
    7. Irmen, Andreas & Thisse, Jacques-Francois, 1998. "Competition in Multi-characteristics Spaces: Hotelling Was Almost Right," Journal of Economic Theory, Elsevier, vol. 78(1), pages 76-102, January.
    8. Maskin, Eric & Tirole, Jean, 1988. "A Theory of Dynamic Oligopoly, II: Price Competition, Kinked Demand Curves, and Edgeworth Cycles," Econometrica, Econometric Society, vol. 56(3), pages 571-599, May.
    9. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
    10. von Ungern-Sternberg, Thomas, 1991. "Monopolistic Competition on the Pyramid," Journal of Industrial Economics, Wiley Blackwell, vol. 39(4), pages 355-368, June.
    11. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 1-26.
    12. Bloch, Francis & Quérou, Nicolas, 2013. "Pricing in social networks," Games and Economic Behavior, Elsevier, vol. 80(C), pages 243-261.
    13. 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.
    14. Buechel, Berno & Roehl, Nils, 2015. "Robust equilibria in location games," European Journal of Operational Research, Elsevier, vol. 240(2), pages 505-517.
    15. Michael D. Noel, 2007. "Edgeworth Price Cycles, Cost-Based Pricing, and Sticky Pricing in Retail Gasoline Markets," The Review of Economics and Statistics, MIT Press, vol. 89(2), pages 324-334, May.
    16. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, II: Applications," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 27-41.
    17. Economides, Nicholas, 1986. "Minimal and maximal product differentiation in Hotelling's duopoly," Economics Letters, Elsevier, vol. 21(1), pages 67-71.
    18. Nicholas Economides, 1986. "Nash Equilibrium in Duopoly with Products Defined by Two Characteristics," RAND Journal of Economics, The RAND Corporation, vol. 17(3), pages 431-439, Autumn.
    19. Edwin S. Mills & Michael R. Lav, 1964. "A Model of Market Areas with Free Entry," Journal of Political Economy, University of Chicago Press, vol. 72, pages 278-278.
    20. Jean-Francois Houde, 2012. "Spatial Differentiation and Vertical Mergers in Retail Markets for Gasoline," American Economic Review, American Economic Association, vol. 102(5), pages 2147-2182, August.
    21. Lance J. Bachmeier & James M. Griffin, 2003. "New Evidence on Asymmetric Gasoline Price Responses," The Review of Economics and Statistics, MIT Press, vol. 85(3), pages 772-776, August.
    22. Anderson, Simon P. & Goeree, Jacob K. & Ramer, Roald, 1997. "Location, Location, Location," Journal of Economic Theory, Elsevier, vol. 77(1), pages 102-127, November.
    23. Eaton, B Curtis & Lipsey, Richard G, 1976. "The Non-Uniqueness of Equilibrium in the Loschian Location Model," American Economic Review, American Economic Association, vol. 66(1), pages 71-93, March.
    24. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
    25. Matthew Lewis & Michael Noel, 2011. "The Speed of Gasoline Price Response in Markets with and without Edgeworth Cycles," The Review of Economics and Statistics, MIT Press, vol. 93(2), pages 672-682, May.
    26. Castanias, Rick & Johnson, Herb, 1993. "Gas Wars: Retail Gasoline Fluctuations," The Review of Economics and Statistics, MIT Press, vol. 75(1), pages 171-174, February.
    27. Picone, Gabriel A. & Ridley, David B. & Zandbergen, Paul A., 2009. "Distance decreases with differentiation: Strategic agglomeration by retailers," International Journal of Industrial Organization, Elsevier, vol. 27(3), pages 463-473, May.
    28. Nicolas de Roos & Hajime Katayama, 2013. "Gasoline Price Cycles Under Discrete Time Pricing," The Economic Record, The Economic Society of Australia, vol. 89(285), pages 175-193, June.
    29. Zhongmin Wang, 2009. "(Mixed) Strategy in Oligopoly Pricing: Evidence from Gasoline Price Cycles Before and Under a Timing Regulation," Journal of Political Economy, University of Chicago Press, vol. 117(6), pages 987-1030, December.
    30. Eckert, Andrew, 2003. "Retail price cycles and the presence of small firms," International Journal of Industrial Organization, Elsevier, vol. 21(2), pages 151-170, February.
    31. Greenhut, M L & Hwang, M J & Ohta, H, 1976. "An Empirical Evaluation of the Equilibrium Size and Shape of Market Areas," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(1), pages 172-190, 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. Matías Núñez & Marco Scarsini, 2016. "Competing over a finite number of locations," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(2), pages 125-136, October.
    2. de Roos, Nicolas, 2012. "Static models of the Edgeworth cycle," Economics Letters, Elsevier, vol. 117(3), pages 881-882.

    More about this item

    Keywords

    Spatial competition; Hotelling; Graphs;

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L10 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - General
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)

    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:eee:jeborg:v:146:y:2018:i:c:p:161-179. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: http://www.elsevier.com/locate/jebo .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.