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DUOPOLIES OF HOTHELLING AND THE PROBLEM OF POSITIONING ON A PLANE
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DUOPOLIES OF HOTHELLING AND THE PROBLEM OF POSITIONING ON A PLANE
Annotation
PII
S042473880000616-6-1
Publication type
Article
Status
Published
Authors
Julia Tokareva  Anna Shchiptsova Vladimir Mazalov
Edition
Issue №4
Pages
91-100
Abstract
The Hotelling duopoly on the plane is investigated. On the plane there are two firms that announce prices for the goods, and buyers make a choice of the firm, comparing the costs of its visit. Costs are calculated as the sum of the price and the distance from the buyer to the firm. A Nash equilibrium is found for models in which the distance is calculated in the Euclidean and Manhattan manner. The problem of placement is solved, in which it is necessary to determine optimal location of firms.
Keywords
Hotelling's duopoly on a plane, equilibrium prices, placement problem
Date of publication
01.10.2010
Number of purchasers
2
Views
804
Readers community rating
0.0 (0 votes)
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 Bester H., De Palma A., Leininger W., Thomas J., Von Tadden E.-L. (1996): A Non-Cooperative Analysis of Hotelling’s Location Game // Games and Econ. Behavior. Vol. 12.
 d’Aspremont C., Gabszewicz J., Thisse J.-F. (1979): On Hotelling’s Stability in Competition // Econometrica. Vol. 47.
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 Hakimi S.L. (1983): On Locating New Facilities in a Competitive Environment // European Journal of Operational Res. Vol. 12.
 Hotelling H. (1929): Stability in Competition // Economic Journal. Vol. 39.
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 Mazalov V., Sakaguchi M. (2003): Location Game on the Plane // International Game Theory Rev. Vol. 5. № 1.
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