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The Uncovered Set and the Limits of Legislative Action

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  • Bianco, William T.
  • Jeliazkov, Ivan
  • Sened, Itai

Abstract

We present a simulation technique for sorting out the size, shape, and location of the uncovered set to estimate the set of enactable outcomes in “real-world” social choice situations, such as the contemporary Congress. The uncovered set is a well-known but underexploited solution concept in the literature on spatial voting games and collective choice mechanisms. We explain this solution concept in nontechnical terms, submit some theoretical observations to improve our theoretical grasp of it, and provide a simulation technique that makes it possible to estimate this set and thus enable a series of tests of its empirical relevance.

Suggested Citation

  • Bianco, William T. & Jeliazkov, Ivan & Sened, Itai, 2004. "The Uncovered Set and the Limits of Legislative Action," Political Analysis, Cambridge University Press, vol. 12(3), pages 256-276, July.
    • Handle: RePEc:cup:polals:v:12:y:2004:i:03:p:256-276_00
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    Cited by:

    1. Tasos Kalandrakis, 2022. "Generalized medians and a political center," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(2), pages 301-319, February.
    2. Michel Le Breton & Karine Van Der Straeten, 2017. "Alliances Électorales et Gouvernementales : La Contribution de la Théorie des Jeux Coopératifs à la Science Politique," Revue d'économie politique, Dalloz, vol. 127(4), pages 637-736.
    3. Tovey, Craig A., 2010. "A finite exact algorithm for epsilon-core membership in two dimensions," Mathematical Social Sciences, Elsevier, vol. 60(3), pages 178-180, November.
    4. Anthony J. McGann & Sebastian Dellepiane‐Avellaneda & John Bartle, 2023. "Dynamics of public opinion and policy response under proportional and plurality elections," Economics and Politics, Wiley Blackwell, vol. 35(1), pages 333-355, March.
    5. Elizabeth Penn, 2006. "Alternate Definitions of the Uncovered Set and Their Implications," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(1), pages 83-87, August.
    6. Gyung-Ho Jeong, 2017. "The supermajority core of the US Senate and the failure to join the League of Nations," Public Choice, Springer, vol. 173(3), pages 325-343, December.
    7. John Duggan, 2011. "Uncovered Sets," Wallis Working Papers WP63, University of Rochester - Wallis Institute of Political Economy.
    8. John Duggan, 2013. "Uncovered sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 489-535, September.
    9. Nicholas R. Miller, 2015. "The spatial model of social choice and voting," Chapters, in: Jac C. Heckelman & Nicholas R. Miller (ed.), Handbook of Social Choice and Voting, chapter 10, pages 163-181, Edward Elgar Publishing.

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