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Farsighted Stable Sets in Hotelling's Location Games

Listed author(s):
  • Junnosuke Shino

    ()

    (Rutgers University)

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.

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Paper provided by Rutgers University, Department of Economics in its series Departmental Working Papers with number 200808.

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Length: 20 pages
Date of creation: 22 Dec 2008
Handle: RePEc:rut:rutres:200808
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  1. B. Curtis Eaton & Richard G. Lipsey, 1975. "The Principle of Minimum Differentiation Reconsidered: Some New Developments in the Theory of Spatial Competition," Review of Economic Studies, Oxford University Press, vol. 42(1), pages 27-49.
  2. Béal, Sylvain & Durieu, Jacques & Solal, Philippe, 2008. "Farsighted coalitional stability in TU-games," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 303-313, November.
  3. Noritsugu Nakanishi, 2009. "Noncooperative farsighted stable set in an n-player prisoners’ dilemma," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(2), pages 249-261, June.
  4. Masahisa Fujita & Jacques-François Thisse, 1986. "Spatial Competition with a Land Market: Hotelling and Von Thunen Unified," Review of Economic Studies, Oxford University Press, vol. 53(5), pages 819-841.
  5. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 603-627.
  6. Akihiro Suzuki & Shigeo Muto, 2005. "Farsighted Stability in an n-Person Prisoner’s Dilemma," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(3), pages 431-445, 09.
  7. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, II: Applications," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 27-41.
  8. Tayfun Sonmez, 1999. "Strategy-Proofness and Essentially Single-Valued Cores," Econometrica, Econometric Society, vol. 67(3), pages 677-690, May.
  9. John C. Harsanyi, 1974. "An Equilibrium-Point Interpretation of Stable Sets and a Proposed Alternative Definition," Management Science, INFORMS, vol. 20(11), pages 1472-1495, July.
  10. Masuda, Takeshi, 2002. "Farsighted stability in average return games," Mathematical Social Sciences, Elsevier, vol. 44(2), pages 169-181, November.
  11. Kawasaki, Ryo & Muto, Shigeo, 2009. "Farsighted stability in provision of perfectly "Lumpy" public goods," Mathematical Social Sciences, Elsevier, vol. 58(1), pages 98-109, July.
  12. Yoshio Kamijo & Shigeo Muto, 2010. "Farsighted Coalitional Stability Of A Price Leadership Cartel," The Japanese Economic Review, Japanese Economic Association, vol. 61(4), pages 455-465, December.
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