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Location Game On The Plane

Author

Listed:
  • 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)

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.

Suggested Citation

  • Vladimir Mazalov & Minoru Sakaguchi, 2003. "Location Game On The Plane," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 5(01), pages 13-25.
    • Handle: RePEc:wsi:igtrxx:v:05:y:2003:i:01:n:s0219198903000854
    DOI: 10.1142/S0219198903000854
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    Citations

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    Cited by:

    1. Manfred Stadler, 2019. "Location in a Disk City with Consumer Concentration Around the Center," Schmalenbach Business Review, Springer;Schmalenbach-Gesellschaft, vol. 71(1), pages 35-50, February.
    2. Vladimir Mazalov & Elena Konovalchikova, 2020. "Hotelling’s Duopoly in a Two-Sided Platform Market on the Plane," Mathematics, MDPI, vol. 8(6), pages 1-16, May.
    3. Iskakov, M. & Iskakov, A., 2012. "Complete Solution of the Hotelling Problem: Equilibrium in Secure Strategies for the Price Subgame," Journal of the New Economic Association, New Economic Association, vol. 13(1), pages 10-33.

    More about this item

    Keywords

    Hotelling's duopoly model on the plane; location game; equilibrium prices; equilibrium location; 91A10; 91A80; 91B24; 91B32;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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