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A Note on the Excess Entry Theorem in Spatial Models with Elastic Demand

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  • Yiquan Gu

    ()

  • Tobias Wenzel

    ()

Abstract

This paper revisits the excess entry theorem in spatial models à la Vickrey (1964) and Salop (1979) while relaxing the assumption of inelastic demand. Using a demand function with a constant demand elasticity, we show that the number of firms that enter a market decreases with the degree of demand elasticity.We find that the excess entry theorem does only hold when demand is sufficiently inelastic. Otherwise, there is insufficient entry. In the limiting case of unit elastic demand, the market is monopolized. We point out when and how a public policy can be desirable and broaden our results with a more general transportation cost function.

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Bibliographic Info

Paper provided by Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen in its series Ruhr Economic Papers with number 0033.

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Length: 18 pages
Date of creation: Dec 2007
Date of revision:
Handle: RePEc:rwi:repape:0033

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Keywords: Elastic demand; spatial models; excess entry theorem;

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References

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  1. 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.
  2. 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.
  3. Matsumura, Toshihiro & Okamura, Makoto, 2006. "Equilibrium number of firms and economic welfare in a spatial price discrimination model," Economics Letters, Elsevier, vol. 90(3), pages 396-401, March.
  4. Toshihiro Matsumura, 2000. "Entry regulation and social welfare with an integer problem," Journal of Economics, Springer, vol. 71(1), pages 47-58, February.
  5. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
  6. Shin-Kun Peng & Takatoshi Tabuchi, 2007. "Spatial Competition in Variety and Number of Stores," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 16(1), pages 227-250, 03.
  7. Anderson, Simon P. & de Palma, Andre, 2000. "From local to global competition," European Economic Review, Elsevier, vol. 44(3), pages 423-448, March.
  8. Lancaster, Kelvin, 1975. "Socially Optimal Product Differentiation," American Economic Review, American Economic Association, vol. 65(4), pages 567-85, September.
  9. Martin Peitz, 2002. "Price equilibrium in address models of product differentiation: unit-elastic demand," Economic Theory, Springer, vol. 20(4), pages 849-860.
  10. Hart, Oliver D, 1985. "Monopolistic Competition in the Spirit of Chamberlin: A General Model," Review of Economic Studies, Wiley Blackwell, vol. 52(4), pages 529-46, October.
  11. Shin-Kun Peng & Takatoshi Tabuchi, 2007. "Erratum: Spatial Competition in Variety and Number of Stores," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 16(2), pages 537-537, 06.
  12. Sattinger, Michael, 1984. "Value of an Additional Firm in Monopolistic Competition," Review of Economic Studies, Wiley Blackwell, vol. 51(2), pages 321-32, April.
  13. Pettengill, John S, 1979. "Monopolistic Competition and Optimum Product Diversity: Comment," American Economic Review, American Economic Association, vol. 69(5), pages 957-60, December.
  14. Bockem, Sabine, 1994. "A Generalized Model of Horizontal Product Differentiation," Journal of Industrial Economics, Wiley Blackwell, vol. 42(3), pages 287-98, September.
  15. Matsumura, Toshihiro & Okamura, Makoto, 2006. "A note on the excess entry theorem in spatial markets," International Journal of Industrial Organization, Elsevier, vol. 24(5), pages 1071-1076, September.
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Citations

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Cited by:
  1. Tobias Wenzel, 2007. "Liberalization of Opening Hours with Free Entry," Ruhr Economic Papers 0013, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
  2. Gu, Yiquan & Wenzel, Tobias, 2011. "Transparency, price-dependent demand and product variety," Economics Letters, Elsevier, vol. 110(3), pages 216-219, March.
  3. Yiquan Gu & Tobias Wenzel, 2009. "Product Variety, Price Elasticity of Demand and Fixed Cost in Spatial Models," Ruhr Economic Papers 0092, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
  4. Gu, Yiquan & Wenzel, Tobias, 2012. "Price-dependent demand in spatial models," DICE Discussion Papers 43, Heinrich‐Heine‐Universität Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
  5. Esteves, Rosa-Branca & Reggiani, Carlo, 2014. "Elasticity of demand and behaviour-based price discrimination," International Journal of Industrial Organization, Elsevier, vol. 32(C), pages 46-56.
  6. Stefano Colombo, 2011. "Spatial price discrimination in the unidirectional Hotelling model with elastic demand," Journal of Economics, Springer, vol. 102(2), pages 157-169, March.
  7. Stühmeier, Torben & Wenzel, Tobias, 2010. "Getting beer during commercials: adverse effects of ad-avoidance," DICE Discussion Papers 02, Heinrich‐Heine‐Universität Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
  8. Marco Runkel, 2011. "Revenue Sharing, Competitive Balance and the Contest Success Function," German Economic Review, Verein für Socialpolitik, vol. 12(3), pages 256-273, 08.
  9. Hattori, Keisuke & Yoshikawa, Takeshi, 2013. "Free Entry and Social Inefficiency under Co-opetition," MPRA Paper 44816, University Library of Munich, Germany.
  10. Rasch, Alexander & Herre, Jesko, 2013. "Customer-side transparency, elastic demand, and tacit collusion under differentiation," Information Economics and Policy, Elsevier, vol. 25(1), pages 51-59.
  11. Tim Paul Thomes, 2010. "Vertically Related Markets of Collective Licensing of Differentiated Copyrights with Indirect Network Effects," Jena Economic Research Papers 2010-056, Friedrich-Schiller-University Jena, Max-Planck-Institute of Economics.

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