Geodesic
Hotelling's duopoly on the plane with Manhattan distance
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 2 (2012), pp. 33-43

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Article describes the location game, where there are two firms on the plane and they declare prices for their products. The market is represented as a square, which is divided by a uniform net. Customers use this net as the roads to move. The problem of pricing and distribution on the arbitrary network is solved.
Keywords: Hotelling duopoly on the plane, equilibrium prices, location game. 
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     author = {A. V. Mazalova},
     title = {Hotelling's duopoly on the plane with {Manhattan} distance},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {33--43},
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     number = {2},
     year = {2012},
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}
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A. V. Mazalova. Hotelling's duopoly on the plane with Manhattan distance. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 2 (2012), pp. 33-43. http://geodesic.mathdoc.fr/item/VSPUI_2012_2_a3/