IDEAS home Printed from https://ideas.repec.org/a/eee/reecon/v53y1999i4p405-420.html
   My bibliography  Save this article

The circular road revisited: Uniqueness and supermodularity

Author

Listed:
  • Peitz, Martin

Abstract

The model of the circular road has proved to be a popular model of oligopolistic interaction, yet its theoretical properties are not fully explored. In this paper I extend the uniqueness result of price equilibrium in the circular road with equidistant locations from quadratic transportation costs to a class of utility functions of the consumers. I show that the associated game is supermodular and dominance solvable. The paper also discusses possible extensions and limitations of the model.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Peitz, Martin, 1999. "The circular road revisited: Uniqueness and supermodularity," Research in Economics, Elsevier, vol. 53(4), pages 405-420, December.
  • Handle: RePEc:eee:reecon:v:53:y:1999:i:4:p:405-420
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1090-9443(99)90202-8
    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. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    2. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
    3. ANDERSON, Simon P. & de PALMA, André & THISSE, Jacques-François, 1992. "Interpretations of the logit discrete choice models and the theory of product differentiation," LIDAM Reprints CORE 1017, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
    5. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
    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. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
    9. Economides, Nicholas, 1989. "Symmetric equilibrium existence and optimality in differentiated product markets," Journal of Economic Theory, Elsevier, vol. 47(1), pages 178-194, 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. de Frutos, M. A. & Hamoudi, H. & Jarque, X., 2002. "Spatial competition with concave transport costs," Regional Science and Urban Economics, Elsevier, vol. 32(4), pages 531-540, July.

    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. Belleflamme,Paul & Peitz,Martin, 2015. "Industrial Organization," Cambridge Books, Cambridge University Press, number 9781107687899, September.
    2. Konishi, Hideo, 2005. "Concentration of competing retail stores," Journal of Urban Economics, Elsevier, vol. 58(3), pages 488-512, November.
    3. Pierre Picard & Takatoshi Tabuchi, 2010. "Self-organized agglomerations and transport costs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(3), pages 565-589, March.
    4. Anderson, Simon P. & de Palma, Andre, 2000. "From local to global competition," European Economic Review, Elsevier, vol. 44(3), pages 423-448, March.
    5. Martin Peitz, 1999. "A difficulty with the address models of product differentiation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(3), pages 717-727.
    6. Mizuno, Toshihide, 2003. "On the existence of a unique price equilibrium for models of product differentiation," International Journal of Industrial Organization, Elsevier, vol. 21(6), pages 761-793, June.
    7. Ralph M. Braid, 2017. "Efficiency-enhancing horizontal mergers in spatial competition," Papers in Regional Science, Wiley Blackwell, vol. 96(4), pages 881-894, November.
    8. Gu Yiquan & Wenzel Tobias, 2012. "Price-Dependent Demand in Spatial Models," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 12(1), pages 1-26, March.
    9. Peitz, Martin, 1999. "Equilibrium uniqueness in oligopoly games with strategic complements," Economics Letters, Elsevier, vol. 65(3), pages 347-351, December.
    10. Ralph Braid, 2013. "The locations of firms on intersecting roadways," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 50(3), pages 791-808, June.
    11. Carlos Gutiérrez-Hita & Martin Peitz, 2001. "Retailer Locations, Local Supply And Price Policies," Working Papers. Serie AD 2001-26, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    12. Amir, Rabah & De Castro, Luciano, 2017. "Nash equilibrium in games with quasi-monotonic best-responses," Journal of Economic Theory, Elsevier, vol. 172(C), pages 220-246.
    13. Ralph M. Braid, 2016. "Potential merger-forcing entry reduces maximum spacing between firms in spatial competition," Papers in Regional Science, Wiley Blackwell, vol. 95(3), pages 653-669, August.
    14. Auer, Raphael A. & Sauré, Philip, 2017. "Dynamic entry in vertically differentiated markets," Journal of Economic Theory, Elsevier, vol. 167(C), pages 177-205.
    15. Volker Nocke & Nicolas Schutz, 2018. "Multiproduct‐Firm Oligopoly: An Aggregative Games Approach," Econometrica, Econometric Society, vol. 86(2), pages 523-557, March.
    16. Ewerhart, Christian, 2014. "Cournot games with biconcave demand," Games and Economic Behavior, Elsevier, vol. 85(C), pages 37-47.
    17. Nicholas Economides & Joel Steckel, "undated". "The Max-Min Principle of Product Differentiation," Networks, Compatibility 94-16, Economics of Networks.
    18. Rota-Graziosi, Grégoire, 2019. "The supermodularity of the tax competition game," Journal of Mathematical Economics, Elsevier, vol. 83(C), pages 25-35.
    19. Qiang Gong & Qihong Liu & Yi Zhang, 2016. "Optimal product differentiation in a circular model," Journal of Economics, Springer, vol. 119(3), pages 219-252, November.
    20. 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.

    More about this item

    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:reecon:v:53:y:1999:i:4:p:405-420. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622941 .

    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.