IDEAS home Printed from https://ideas.repec.org/a/spr/schmbr/v71y2019i1d10.1007_s41464-018-0064-0.html
   My bibliography  Save this article

Location in a Disk City with Consumer Concentration Around the Center

Author

Listed:
  • Manfred Stadler

    (University of Tübingen)

Abstract

The paper studies a two-stage location-price duopoly game in a disk city with consumer concentration around the city center. When consumers are uniformly distributed over the plane, unconstrained firms locate outside of the city. Consumer concentration, however, induces firms to locate nearer to each other and, when the degree of concentration is sufficiently high, inside of the city. Prices and firm profits decrease in the degree of consumer concentration. We explicitly solve the model for classes of cone-shaped, dome-shaped, and bell-shaped consumer densities. In all cases we identify a loss of welfare due to the strategic effect which causes the firms’ spatial differentiation being too large.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:schmbr:v:71:y:2019:i:1:d:10.1007_s41464-018-0064-0
    DOI: 10.1007/s41464-018-0064-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s41464-018-0064-0
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s41464-018-0064-0?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. Takatoshi Tabuchi, 2012. "Multiproduct Firms in Hotelling’s Spatial Competition," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 21(2), pages 445-467, June.
    2. Meagher Kieron J & Teo Ernie G.S. & Wang Wen, 2008. "A Duopoly Location Toolkit: Consumer Densities Which Yield Unique Spatial Duopoly Equilibria," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 8(1), pages 1-23, April.
    3. 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.
    4. Asim Ansari & Nicholas Economides & Avijit Ghosh, 1994. "Competitive Positioning in Markets with Nonuniform Preferences," Marketing Science, INFORMS, vol. 13(3), pages 248-273.
    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. Economides, Nicholas, 1986. "Minimal and maximal product differentiation in Hotelling's duopoly," Economics Letters, Elsevier, vol. 21(1), pages 67-71.
    7. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    8. Ansari, A. & Economides, N. & Steckel, J., 1996. "The Max-Min-Min Principle of product Differentiation," Working Papers 96-10, New York University, Leonard N. Stern School of Business, Department of Economics.
    9. Kieron Meagher & Klaus Zauner, 2005. "Location-then-price competition with uncertain consumer tastes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(4), pages 799-818, June.
    10. Veendorp, E. C. H. & Majeed, Anjum, 1995. "Differentiation in a two-dimensional market," Regional Science and Urban Economics, Elsevier, vol. 25(1), pages 75-83, February.
    11. Meagher, Kieron J. & Zauner, Klaus G., 2004. "Product differentiation and location decisions under demand uncertainty," Journal of Economic Theory, Elsevier, vol. 117(2), pages 201-216, August.
    12. Tabuchi, Takatoshi, 1994. "Two-stage two-dimensional spatial competition between two firms," Regional Science and Urban Economics, Elsevier, vol. 24(2), pages 207-227, April.
    13. F. Javier Casado-Izaga, 2000. "Location decisions: The role of uncertainty about consumer tastes," Journal of Economics, Springer, vol. 71(1), pages 31-46, February.
    14. Steffen Brenner, 2005. "Hotelling Games with Three, Four, and More Players," Journal of Regional Science, Wiley Blackwell, vol. 45(4), pages 851-864, November.
    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. Stadler, Manfred, 2018. "Location in a disk city with consumer concentration around the center," University of Tübingen Working Papers in Business and Economics 113, University of Tuebingen, Faculty of Economics and Social Sciences, School of Business and Economics.
    2. Bonein, Aurélie & Turolla, Stéphane, 2009. "Sequential location under one-sided demand uncertainty," Research in Economics, Elsevier, vol. 63(3), pages 145-159, September.
    3. Król, Michał, 2012. "Product differentiation decisions under ambiguous consumer demand and pessimistic expectations," International Journal of Industrial Organization, Elsevier, vol. 30(6), pages 593-604.
    4. Barigozzi, Francesca & Ma, Ching-to Albert, 2018. "Product differentiation with multiple qualities," International Journal of Industrial Organization, Elsevier, vol. 61(C), pages 380-412.
    5. Aurélie Bonein & Stéphane Turolla, 2023. "Spatial competition with demand uncertainty: A laboratory experiment," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 32(4), pages 906-939, October.
    6. Krol Michal, 2011. "On the Existence and Social Optimality of Equilibria in a Hotelling Game with Uncertain Demand and Linear-Quadratic Costs," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-22, March.
    7. Toshihiro Matsumura & Noriaki Matsushima, 2010. "Patent licensing, bargaining, and product positioning," ISER Discussion Paper 0775, Institute of Social and Economic Research, Osaka University.
    8. Stefan Roth, 1999. "Möglichkeiten und Grenzen ökonomischer Positionierungsmodelle," Schmalenbach Journal of Business Research, Springer, vol. 51(3), pages 243-266, March.
    9. Piga, Claudio & Poyago-Theotoky, Joanna, 2005. "Endogenous R&D spillovers and locational choice," Regional Science and Urban Economics, Elsevier, vol. 35(2), pages 127-139, March.
    10. Zhou, Dongsheng & Vertinsky, Ilan, 2001. "Strategic location decisions in a growing market," Regional Science and Urban Economics, Elsevier, vol. 31(5), pages 523-533, September.
    11. James Fain, 2023. "Should retail stores locate close to a rival?," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 18(1), pages 129-162, January.
    12. Marcella Scrimitore, 2003. "Symmetric and Asymmetric Equilibria in a Spatial Duopoly," ERSA conference papers ersa03p194, European Regional Science Association.
    13. Michal Król, 2009. "The role of demand uncertainty in the two stage Hotelling model," Economics Discussion Paper Series 0904, Economics, The University of Manchester.
    14. Takatoshi Tabuchi, 2009. "Hotelling's Spatial Competition Reconsidered," CIRJE F-Series CIRJE-F-674, CIRJE, Faculty of Economics, University of Tokyo.
    15. Buechel, Berno & Roehl, Nils, 2015. "Robust equilibria in location games," European Journal of Operational Research, Elsevier, vol. 240(2), pages 505-517.
    16. Zsolt Katona, 2015. "Democracy in product design: Consumer participation and differentiation strategies," Quantitative Marketing and Economics (QME), Springer, vol. 13(4), pages 359-394, December.
    17. T. Florian Kauffeldt & Boris R. Wiesenfarth, 2018. "Product Design Competition Under Different Degrees of Demand Ambiguity," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 53(2), pages 397-420, September.
    18. Eveline Leeuwen & Mark Lijesen, 2016. "Agents playing Hotelling’s game: an agent-based approach to a game theoretic model," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 57(2), pages 393-411, November.
    19. Iskakov, M. & Iskakov, A., 2012. "Complete Solution of the Hotelling Problem: Equilibrium in Secure Strategies for the Price Subgame," Journal of the New Economic Association, New Economic Association, vol. 13(1), pages 10-33.
    20. Graubner, Marten & Balmann, Alfons & Sexton, Richard J., 2011. "Spatial Pricing and the Location of Processors in Agricultural Markets," 2011 International Congress, August 30-September 2, 2011, Zurich, Switzerland 114601, European Association of Agricultural Economists.

    More about this item

    Keywords

    Location strategies; Disk city; Concentration of consumer demand;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • R32 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - Other Spatial Production and Pricing Analysis

    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:schmbr:v:71:y:2019:i:1:d:10.1007_s41464-018-0064-0. 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.