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Equilibrium in Hotelling's Model of Spatial Competition

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Author Info
Martin J Osborne
Carolyn Pitchik

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Abstract

Using a partly analytical, partly computational approach we find and study a mixed strategy equilibrium in Hotelling's model of spatial competition (in which each of two firms chooses a location in a line segment, and a price). In the equilibrium we find, the firms randomize only over prices. They choose locations close to the quartiles of the market. The support of the equilibrium price strategy of each firm is the union of two short iintervals, and has an atom of approximate size 0.73 at the highest price. The equilibrium can be interpreted as one in which firms charge a relatively high price most of the time, and occaisionally hold a "sale".

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File URL: http://socserv.socsci.mcmaster.ca/econ/rsrch/papers/archive/85-19.pdf
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Paper provided by McMaster University in its series Department of Economics Working Papers with number 1985-02.

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Length: 20 pages
Date of creation: Feb 1985
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Handle: RePEc:mcm:deptwp:1985-02

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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. Paul Milgrom & Robert Weber, 1981. "Distributional Strategies for Games with Incomplete Information," Discussion Papers 428R, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  2. Varian, Hal R, 1980. "A Model of Sales," American Economic Review, American Economic Association, vol. 70(4), pages 651-59, September. [Downloadable!] (restricted)
  3. Osborne, Martin J. & Pitchik, Carolyn, 1983. "Price Competition in a Capacity-Constrained Duopoly," Working Papers 83-08, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
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(explanations, 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. María Pérez & Pascual Hernández & Blas Pelegrín, 2004. "On price competition in location-price models with spatially separated markets," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 12(2), pages 351-374, December. [Downloadable!] (restricted)
  2. Giuseppe Moscarini & Marco Ottaviani, 1998. "Price Competition for an Informed Buyer," Cowles Foundation Discussion Papers 1199, Cowles Foundation, Yale University. [Downloadable!]
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  3. Andrew Caplin & Barry Nalebuff, 1990. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Cowles Foundation Discussion Papers 937, Cowles Foundation, Yale University. [Downloadable!]
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  4. Karine Van-Der-Straeten, 2005. "Product differentiation when consumers may choose not to buy: Hotelling's convergence result revisited," Working Papers hal-00242963_v1, HAL. [Downloadable!]
  5. L. Lambertini & R. Orsini, 1998. "Existence of Equilibrium in A Differentiated Duopoly With Network Externalities," Working Papers 333, Dipartimento Scienze Economiche, Universita' di Bologna. [Downloadable!]
  6. Sudipta Sarangi & Hrachya Kyureghian, . "Transport Cost Sharing," Departmental Working Papers 2002-08, Department of Economics, Louisiana State University. [Downloadable!]
  7. Debashis Pal, 1994. "Cournot Competition and Spatial Agglomeration," Microeconomics 9402002, EconWPA. [Downloadable!]
  8. Hoppe, Heidrun C. & Lehmann-Grube, Ulrich, 2007. "Price Competition in Markets with Customer Testing: The Captive Customer Effect," CEPR Discussion Papers 6229, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  9. Martin Richardson, 2004. "Cultural quotas in broadcasting II: policy," ANUCBE School of Economics Working Papers 2004-443, Australian National University, College of Business and Economics, School of Economics. [Downloadable!]
  10. Seo, C.S., 1992. "Interior Quality Equilibrium and the Effect of a Government Subsidy," Working Papers 92-05, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
  11. Heidrun C. Hoppe & Ulrich Lehmann-Grube, 2000. "Spatial Competition in Credit Markets," CSEF Working Papers 32, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy. [Downloadable!]
  12. Martin Richardson, 2004. "A high-rise on Main Street: Hotelling with mobile consumers," ANUCBE School of Economics Working Papers 2004-444, Australian National University, College of Business and Economics, School of Economics. [Downloadable!]
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