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Costly Location in Hotelling Duopoly

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  • Jeroen Hinloopen

    (University of Amsterdam)

  • Stephen Martin

    (Krannert School of Management, Purdue University, West Lafayette, Indiana, United States of America)

Abstract

We introduce a cost of location into Hotelling’s (1929) spatial duopoly. We derive the general conditions on the cost-of-location function under which a pure strategy price-location Nash equilibrium exists. With linear transportation cost and a suitably specified cost of location that rises toward the center of the Hotelling line, symmetric equilibrium locations are in the outer quartiles of the line, ensuring the existence of pure strategy equilibrium prices. With quadratic transportation cost and a suitably specified cost of location that falls toward the center of the line, symmetric equilibrium locations range from the center to the end of the line.

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Bibliographic Info

Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 13-101/VII.

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Date of creation: 30 Jul 2013
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Handle: RePEc:dgr:uvatin:20130101

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Web page: http://www.tinbergen.nl

Related research

Keywords: Horizontal product differentiation; spatial competition; cost of location;

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References

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  1. 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 903-17, November.
  2. d'Aspremont, C & Gabszewicz, Jean Jaskold & Thisse, J-F, 1979. "On Hotelling's "Stability in Competition"," Econometrica, Econometric Society, vol. 47(5), pages 1145-50, September.
  3. Vickrey, William S. & Anderson, Simon P. & Braid, Ralph M., 1999. "Spatial competition, monopolistic competition, and optimum product diversity," International Journal of Industrial Organization, Elsevier, vol. 17(7), pages 953-963, October.
  4. B. Curtis Eaton & Roger Ware, 1987. "A Theory of Market Structure with Sequential Entry," RAND Journal of Economics, The RAND Corporation, vol. 18(1), pages 1-16, Spring.
  5. 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.
  6. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
  7. 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.
  8. Anderson, Simon P & Neven, Damien J, 1991. "Cournot Competition Yields Spatial Agglomeration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(4), pages 793-808, November.
  9. Jeroen Hinloopen, 2002. "Price regulation in a spatial duopoly with possible non-buyers," The Annals of Regional Science, Springer, vol. 36(1), pages 19-39.
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