Equilibrium in Hotelling's Model of Spatial Competition
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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| Length: | 20 pages |
| Date of creation: | Feb 1985 |
| Handle: | RePEc:mcm:deptwp:1985-02 |
| Contact details of provider: | Postal: 1280 Main Street West, Hamilton, Ontario, L8S 4M4 Phone: (905) 525-9140 ext. 22765 Fax: (905) 521-8232 Web page: http://www.economics.mcmaster.ca/ Email: More information through EDIRC
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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.:
- Varian, Hal R, 1980. "A Model of Sales," American Economic Review, American Economic Association, vol. 70(4), pages 651-659, September.
- Paul R. Milgrom & Robert J. Weber, 1985.
"Distributional Strategies for Games with Incomplete Information,"
Mathematics of Operations Research,
INFORMS, vol. 10(4), pages 619-632, November.
- 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.
- Gal-or, Esther, 1982. "Hotelling's spatial competition as a model of sales," Economics Letters, Elsevier, vol. 9(1), pages 1-6. Full references (including those not matched with items on IDEAS)
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