Equilibrium in Hotelling's Model of Spatial Competition
AbstractUsing 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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Bibliographic InfoPaper provided by McMaster University in its series Department of Economics Working Papers with number 1985-02.
Length: 20 pages
Date of creation: Feb 1985
Date of revision:
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Other versions of this item:
- Osborne, Martin J & Pitchik, Carolyn, 1987. "Equilibrium in Hotelling's Model of Spatial Competition," Econometrica, Econometric Society, Econometric Society, vol. 55(4), pages 911-22, July.
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.:
- Paul Milgrom & Robert Weber, 1981. "Distributional Strategies for Games with Incomplete Information," Discussion Papers, Northwestern University, Center for Mathematical Studies in Economics and Management Science 428R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Varian, Hal R, 1980. "A Model of Sales," American Economic Review, American Economic Association, American Economic Association, vol. 70(4), pages 651-59, September.
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