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Farsighted Stable Sets in Hotelling's Location Games

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  • Junnosuke Shino

    () (Rutgers University)

Abstract

We apply farsighted stable set to two versions of Hotelling's location games: one with linear market and another with circular market. It is shown that there always exists a farsighted stable set in both games. In particular, the set of all location profiles that yields equal payoff across all players is shown to be a farsighted stable set. This stable set contains location profiles that reflect minimum differentiation as well as those profiles that reflect local monopoly. These results are in contrast to those obtained by equilibrium analysis. While the stable set uniquely exists when the number of players is 2, the uniqueness is not guaranteed when n>2. In particular, we exhibit multiple stable sets in three person location games. We provide possible interpretations of these farsighted stable sets from the viewpoint of players' bargaining power and coalition.

Suggested Citation

  • Junnosuke Shino, 2008. "Farsighted Stable Sets in Hotelling's Location Games," Departmental Working Papers 200808, Rutgers University, Department of Economics.
  • Handle: RePEc:rut:rutres:200808
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    References listed on IDEAS

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    Cited by:

    1. Nobuyuki Hanaki & Emily Tanimura & Nicolaas J. Vriend, 2016. "The Principle of Minimum Differentiation Revisited: Return of the Median Voter," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01317991, HAL.
    2. Kawasaki, Ryo & Sato, Takashi & Muto, Shigeo, 2015. "Farsightedly stable tariffs," Mathematical Social Sciences, Elsevier, vol. 76(C), pages 118-124.
    3. Ryo Kawasaki & Takashi Sato & Shigeo Muto, 2012. "Farsighted Stable Sets of Tariff Games," TERG Discussion Papers 281, Graduate School of Economics and Management, Tohoku University.
    4. Kawasaki, Ryo, 2015. "Maximin, minimax, and von Neumann–Morgenstern farsighted stable sets," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 8-12.

    More about this item

    Keywords

    Farsighted stable set; Indirect dominance; Hotelling location game; Strategic form game with no-Nash equilibrium; Coalition formation;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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