IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-11-00093.html
   My bibliography  Save this article

The mixed strategy equilibrium of the three-firm location game with discrete location choices

Author

Listed:
  • Zhiyong Huang

    (Department of Statistics, Hanken School of Economics)

Abstract

In the paper, we derive a symmetric MSE for the three-firm location game on the discrete strategy space. Rather than being uniformly distributed, the MSE for the game has a multimodal distribution. Our theory is more convincing to predict equilibria of three-firm location games in the real world or controlled experiments, where players face finitely many choices.

Suggested Citation

  • Zhiyong Huang, 2011. "The mixed strategy equilibrium of the three-firm location game with discrete location choices," Economics Bulletin, AccessEcon, vol. 31(3), pages 2109-2116.
    • Handle: RePEc:ebl:ecbull:eb-11-00093
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/Pubs/EB/2011/Volume31/EB-11-V31-I3-P190.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. A. P. Lerner & H. W. Singer, 1937. "Some Notes on Duopoly and Spatial Competition," Journal of Political Economy, University of Chicago Press, vol. 45(2), pages 145-145.
    2. Collins, Richard & Sherstyuk, Katerina, 2000. "Spatial Competition with Three Firms: An Experimental Study," Economic Inquiry, Western Economic Association International, vol. 38(1), pages 73-94, January.
    3. Shaked, A, 1982. "Existence and Computation of Mixed Strategy Nash Equilibrium for 3-Firms Location Problem," Journal of Industrial Economics, Wiley Blackwell, vol. 31(1-2), pages 93-96, September.
    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. Andrea Mangani & Paolo Patelli, 2002. "The Max-Min Principle of Product Differentiation: An Experimental Analysis," LEM Papers Series 2002/05, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    2. Dimitrios Xefteris, 2018. "Candidate valence in a spatial model with entry," Public Choice, Springer, vol. 176(3), pages 341-359, September.
    3. Hanaki, Nobuyuki & Tanimura, Emily & Vriend, Nicolaas J., 2019. "The Principle of Minimum Differentiation revisited: Return of the median voter," Journal of Economic Behavior & Organization, Elsevier, vol. 157(C), pages 145-170.
    4. Steffen Huck & Wieland M¸ller, 2002. "The East End, the West End, and King's Cross: on Clustering in the Four-Player Hotelling Game," Economic Inquiry, Western Economic Association International, vol. 40(2), pages 231-240, April.
    5. Dimitrios Xefteris & Iván Barreda‐Tarrazona & Aurora García‐Gallego & Nikolaos Georgantzís, 2023. "Catalog competition: Theory and experimental evidence," Economic Inquiry, Western Economic Association International, vol. 61(1), pages 122-137, January.
    6. Michael P. Cameron, 2021. "Two models for illustrating the economics of media bias in introductory economics," Working Papers in Economics 21/08, University of Waikato.
    7. Hanaki, Nobuyuki & Tanimura, Emily & Vriend, Nicolaas J., 2019. "The Principle of Minimum Differentiation revisited: Return of the median voter," Journal of Economic Behavior & Organization, Elsevier, vol. 157(C), pages 145-170.
    8. Drezner, Zvi & Eiselt, H.A., 2024. "Competitive location models: A review," European Journal of Operational Research, Elsevier, vol. 316(1), pages 5-18.
    9. Tsakas, Nikolas & Xefteris, Dimitrios, 2018. "Electoral competition with third party entry in the lab," Journal of Economic Behavior & Organization, Elsevier, vol. 148(C), pages 121-134.
    10. Paolo Crosetto & Alexia Gaudeul, 2014. "Choosing whether to compete: Price and format competition with consumer confusion," Jena Economics Research Papers 2014-026, Friedrich-Schiller-University Jena.
    11. Christian Ewerhart, 2014. "Mixed equilibrium in a pure location game: the case of n ≥ 4 firms," ECON - Working Papers 168, Department of Economics - University of Zurich.
    12. Peter-J. Jost & Stefanie Schubert & Miriam Zschoche, 2015. "Incumbent positioning as a determinant of strategic response to entry," Small Business Economics, Springer, vol. 44(3), pages 577-596, March.
    13. Curtis Kephart & Daniel Friedman, 2015. "Hotelling revisits the lab: equilibration in continuous and discrete time," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 1(2), pages 132-145, December.
    14. Dimitrios Xefteris & Iván Barreda-Tarrazona & Aurora García-Gallego & Nikolaos Georgantzis, 2018. "Catalog Competition: Equilibrium Characterization and experimental evidence," Working Papers 2018/08, Economics Department, Universitat Jaume I, Castellón (Spain).
    15. Kelemen, József, 2020. "Szimultán Hotelling-modell Cobb-Douglas-hasznosságfüggvénnyel [A simultaneous Hotelling model with a Cobb-Douglas utility function]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(1), pages 14-30.
    16. Webers, H.M., 1994. "Non-uniformities in spatial location models," Other publications TiSEM 40900087-273a-4119-8f78-3, Tilburg University, School of Economics and Management.
    17. Gianmarco I P Ottaviano & Jacques-François Thisse, 2005. "New Economic Geography: What about the N?," Environment and Planning A, , vol. 37(10), pages 1707-1725, October.
    18. Ishida, Junichiro & Matsushima, Noriaki, 2004. "A noncooperative analysis of a circular city model," Regional Science and Urban Economics, Elsevier, vol. 34(5), pages 575-589, September.
    19. Toshiharu Ishikawa & Masao Toda, 1995. "An Unequal Spatial Structure of Location and Price with Consumer Density," The Economic Record, The Economic Society of Australia, vol. 71(2), pages 167-178, June.
    20. Javier Elizalde & Markus Kinateder & Ignacio Rodríguez-Carreño, 2015. "Entry regulation, firm’s behaviour and social welfare," European Journal of Law and Economics, Springer, vol. 40(1), pages 13-31, August.

    More about this item

    Keywords

    mixed strategy equilibrium; multimodal distribution; discrete strategy space;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

    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:ebl:ecbull:eb-11-00093. 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: John P. Conley (email available below). General contact details of provider: .

    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.