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Quantity Competition in a Spatial Model

Author

Listed:
  • Jonathan H Hamilton
  • James F. Klein
  • Eytan Sheshinski
  • Steven M. Slutsky
Abstract
The authors analyze a duopoly model where firms first choose locations on a line segment and then choose quantities in the second stage. Pure strategy quantity equilibria fail to exist for locations close together. For low transport costs, near agglomeration occurs and the firms choose locations where pure strategy quantity equilibria exist. As transport costs rise, firms become less direct competitors as they move away from the center of the market. Coauthors are James F. Klein, Eytan Sheshinski, and Steven M. Slutsky. We analyse a duopoly model where firms first choose locations on a line segment and then choose quantities in the second stage. Pure strategy quantity equilibria fail to exist for locations close together. For low transport costs, near agglomeration occurs and the firms choose locations where pure strategy quantity equilibria exist. As transport costs rise, firms become less direct competitors as they move away from the centre of the market. Coauthors are James F. Klein, Eytan Sheshinski, and Stephen M. Slutsky.

Suggested Citation

  • Jonathan H Hamilton & James F. Klein & Eytan Sheshinski & Steven M. Slutsky, 1994. "Quantity Competition in a Spatial Model," Canadian Journal of Economics, Canadian Economics Association, vol. 27(4), pages 903-917, November.
    • Handle: RePEc:cje:issued:v:27:y:1994:i:4:p:903-17
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    Citations

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    Cited by:

    1. Ricardo Biscaia & Isabel Mota, 2013. "Models of spatial competition: A critical review," Papers in Regional Science, Wiley Blackwell, vol. 92(4), pages 851-871, November.
    2. Hinloopen, Jeroen & Müller, Wieland & Normann, Hans-Theo, 2014. "Output commitment through product bundling: Experimental evidence," European Economic Review, Elsevier, vol. 65(C), pages 164-180.
    3. Hinloopen, Jeroen & Martin, Stephen, 2017. "Costly location in Hotelling duopoly," Research in Economics, Elsevier, vol. 71(1), pages 118-128.
    4. Pal, Debashis & Sarkar, Jyotirmoy, 2002. "Spatial competition among multi-store firms," International Journal of Industrial Organization, Elsevier, vol. 20(2), pages 163-190, February.
    5. Ludwig von Auer & Mark Trede, 2018. "Markets with technological progress: pricing, quality, and novelty," Journal of Economics, Springer, vol. 124(2), pages 121-137, June.
    6. Noriaki Matsushima & Toshihiro Matsumura, 2003. "Mixed oligopoly and spatial agglomeration," Canadian Journal of Economics, Canadian Economics Association, vol. 36(1), pages 62-87, February.
    7. Dimitrios Xefteris & Nicholas Ziros, 2014. "A Spatial Model of Perfect Competition," University of Cyprus Working Papers in Economics 05-2014, University of Cyprus Department of Economics.
    8. Pal, Debashis, 1998. "Does Cournot competition yield spatial agglomeration?," Economics Letters, Elsevier, vol. 60(1), pages 49-53, July.
    9. Gu, Yiquan & Wenzel, Tobias, 2009. "A note on the excess entry theorem in spatial models with elastic demand," International Journal of Industrial Organization, Elsevier, vol. 27(5), pages 567-571, September.
    10. repec:zbw:rwirep:0033 is not listed on IDEAS
    11. Debashis Pal & Jyotirmoy Sarkar, 2006. "Spatial Cournot Competition among Multi‐Plant Firms in a Circular City," Southern Economic Journal, John Wiley & Sons, vol. 73(1), pages 246-258, July.
    12. Arie ten Cate, 2006. "The derivatives of complex characteristic roots in the econometric modelling textbook of Kuh et al," CPB Memorandum 165.rdf, CPB Netherlands Bureau for Economic Policy Analysis.
    13. Paul Hek & Daniel Vuuren, 2011. "Are older workers overpaid? A literature review," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 18(4), pages 436-460, August.
    14. Toshihiro Matsumura & Takao Ohkawa & Daisuke Shimizu, 2005. "Partial Agglomeration or Dispersion in Spatial Cournot Competition," Southern Economic Journal, John Wiley & Sons, vol. 72(1), pages 224-235, July.
    15. Stefano Colombo, 2016. "Location choices with a non-linear demand function," Papers in Regional Science, Wiley Blackwell, vol. 95, pages 215-226, March.
    16. Simon P. Anderson, 1989. "Location Equilibria Under Alternative Solution Concepts," Discussion Papers 885, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    17. Toshihiro Matsumura & Daisuke Shimizu, 2008. "A Noncooperative Shipping Cournot Duopoly With Linear‐Quadratic Transport Costs And Circular Space," The Japanese Economic Review, Japanese Economic Association, vol. 59(4), pages 498-518, December.
    18. Stefano Colombo, 2012. "Collusion in two models of spatial competition with quantity-setting firms," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 48(1), pages 45-69, February.
    19. Yiquan Gu & Tobias Wenzel, 2007. "A Note on the Excess Entry Theorem in Spatial Models with Elastic Demand," Ruhr Economic Papers 0033, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    20. Rath, Kali P. & Zhao, Gongyun, 2001. "Two stage equilibrium and product choice with elastic demand," International Journal of Industrial Organization, Elsevier, vol. 19(9), pages 1441-1455, November.
    21. Gupta, Barnali & Pal, Debashis & Sarkar, Jyotirmoy, 1997. "Spatial Cournot competition and agglomeration in a model of location choice," Regional Science and Urban Economics, Elsevier, vol. 27(3), pages 261-282, June.
    22. Ellen Sewell, 2011. "Competition and dealership agglomeration in new car markets," Applied Economics Letters, Taylor & Francis Journals, vol. 18(13), pages 1279-1283.

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