LOCATION GAME ON THE PLANE

Vladimir Mazalov () and Minoru Sakaguchi ()
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Vladimir Mazalov: Institute of Applied Mathematical Research, Karelian Research Center of Russian Academy of Sciences, Pushkinskaya Str. 11, Petrozavodsk 185610, Russia
Minoru Sakaguchi: Osaka University, 3-26-4 Midorigaoka, Toyonaka, Osaka 560-0002, Japan

International Game Theory Review (IGTR), 2003, vol. 05, issue 01, 13-25

Abstract: We analyze Hotelling's duopoly model on the plane. There are two players (firms) located in different points inside a circle and the customers are distributed with some density in it. The solution of two game-theoretic problems is derived. The first problem is to find the equilibrium prices for the homogeneous goods, and the second problem is to find the equilibrium allocation of the players inside the circle. The equilibrium in location game is constructed for uniform and non-uniform case.

Keywords: Hotelling's duopoly model on the plane; location game; equilibrium prices; equilibrium location; 91A10; 91A80; 91B24; 91B32 (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2003
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:wsi:igtrxx:v:05:y:2003:i:01:n:s0219198903000854

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DOI: 10.1142/S0219198903000854

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