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A Non-empty Core May Not Coincide with the Uncovered Set in Spatial Voting Situations

Author

Listed:
  • A Bhattacharya
  • V Brosi
  • F Ciardiello

Abstract

In this note it is shown that in contradiction to the well-known claim in Cox (AJPS, 1987) (repeated in a number of subsequent works), the uncovered set in a spatial voting situation does not necessarily coincide with the core even when the core is non-empty.

Suggested Citation

  • A Bhattacharya & V Brosi & F Ciardiello, 2010. "A Non-empty Core May Not Coincide with the Uncovered Set in Spatial Voting Situations," Discussion Papers 10/01, Department of Economics, University of York.
  • Handle: RePEc:yor:yorken:10/01
    as

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    File URL: https://www.york.ac.uk/media/economics/documents/discussionpapers/2010/1001.pdf
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    References listed on IDEAS

    as
    1. Dutta, Bhaskar & Ghosal, Sayantan & Ray, Debraj, 2005. "Farsighted network formation," Journal of Economic Theory, Elsevier, pages 143-164.
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    5. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
    6. Herings, P. Jean-Jacques & Mauleon, Ana & Vannetelbosch, Vincent, 2009. "Farsightedly stable networks," Games and Economic Behavior, Elsevier, pages 526-541.
    7. Bloch, Francis & Dutta, Bhaskar, 2009. "Communication networks with endogenous link strength," Games and Economic Behavior, Elsevier, pages 39-56.
    8. 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, September.
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      • Dutta, Bhaskar & Mutuswami, Suresh, 1996. "Stable Networks," Working Papers 971, California Institute of Technology, Division of the Humanities and Social Sciences.
    10. Masuda, Takeshi, 2002. "Farsighted stability in average return games," Mathematical Social Sciences, Elsevier, vol. 44(2), pages 169-181, November.
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    More about this item

    Keywords

    spatial voting models; uncovered set; core; stable set;

    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

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