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Spatial Duopoly under Uniform Delivered Pricing when Firms Avoid Turning Customers Away

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Author Info
Alberto Iozzi () (Universita degli Studi di Roma)

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Abstract

This paper studies a spatial duopoly under uniform delivered pricing when firms do not ration the supply of the good, thus extending to a spatial context the analysis of oligopolistic markets with no rationing. The paper shows the existence of the equilibrium in prices under different tie-breaking rules (TBR) and compare the features of the equilibria found under these rules, thereby allowing to highlight the importance of the choice of the TBR in studying these models. When consumers buy from the nearest firm in case of equal prices (efficient TBR), any symmetric price pair within a given range is a Nash equilibrium, with each firm serving exactly half of the market line. If demand in each local market is equally split between the firms charging the same price (random TBR), the only equilibrium price is the one that gives zero profits to each firm. The degree of competitiveness of the market crucially depends on the TBR. Under the efficient TBR, all (but one) price equilibria deliver positive profits to both firms. Under the random TBR, the market outcome is very competitive in that firms make zero profits. None of the equilibria found under any tie-breaking rule are allocatively efficient.

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Paper provided by Tor Vergata University, CEIS in its series CEIS Research Paper with number 11.

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Length: 25
Date of creation: 18 Apr 2003
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Handle: RePEc:rtv:ceisrp:11

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Postal: CEIS - Centre for Economic and International Studies - Faculty of Economics - University of Rome "Tor Vergata" - Via Columbia, 2 00133 Roma
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Related research
Keywords: Spatial duopoly; uniform delivered price; rationing;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Lederer, Phillip J & Hurter, Arthur P, Jr, 1986. "Competition of Firms: Discriminatory Pricing and Location," Econometrica, Econometric Society, vol. 54(3), pages 623-40, May. [Downloadable!] (restricted)
  2. Dastidar, Krishnendu Ghosh, 1995. "On the Existence of Pure Strategy Bertrand Equilibrium," Economic Theory, Springer, vol. 5(1), pages 19-32, January.
  3. De Palma, Andre & Pedro Pontes, Jose & Thisse, Jacques-Franco, 1987. "Spatial competition under uniform delivered pricing," Regional Science and Urban Economics, Elsevier, vol. 17(3), pages 441-449, August. [Downloadable!] (restricted)
  4. Anderson, S. & De Palma, A. & Thisse, J-F., 1989. "Social Surplus And Profitability Under Different Spacial Pricing Policies," CORE Discussion Papers 1989010, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Dixon, Huw, 1990. "Bertrand-Edgeworth Equilibria when Firms Avoid Turning Customers Away," Journal of Industrial Economics, Blackwell Publishing, vol. 39(2), pages 131-46, December. [Downloadable!] (restricted)
  6. Hummels, David & Levinsohn, James A, 1993. "Product Differentiation as a," American Economic Review, American Economic Association, vol. 83(2), pages 445-49, May. [Downloadable!] (restricted)
  7. Gronberg, Timothy & Meyer, Jack, 1981. "Competitive Equilibria in Uniform Delivered Pricing Models," American Economic Review, American Economic Association, vol. 71(4), pages 758-63, September. [Downloadable!] (restricted)
  8. Anderson, Simon P & de Palma, Andre & Thisse, Jacques-Francois, 1989. "Spatial Price Policies Reconsidered," Journal of Industrial Economics, Blackwell Publishing, vol. 38(1), pages 1-18, September. [Downloadable!] (restricted)
  9. Kats, A. & Thisse, J-F, 1989. "Spatial Oligopolies With Uniform Delivered Pricing," CORE Discussion Papers 1989003, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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  10. Schuler, Richard E & Hobbs, Benjamin F, 1982. "Spatial Price Duopoly under Uniform Delivered Pricing," Journal of Industrial Economics, Blackwell Publishing, vol. 31(1-2), pages 175-87, September. [Downloadable!] (restricted)
  11. MacLeod, W.B. & Norman, G. & Thisse, J.-F., 1988. "Price discrimination and equilibrium in monopolistic competition," International Journal of Industrial Organization, Elsevier, vol. 6(4), pages 429-446. [Downloadable!] (restricted)
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