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The Constrained Instability of Majority Rule: Experiments on the Robustness of the Uncovered Set

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  • Bianco, William T.
  • Lynch, Michael S.
  • Miller, Gary J.
  • Sened, Itai

Abstract

The uncovered set has frequently been proposed as a solution concept for majority rule settings. This paper tests this proposition using a new technique for estimating uncovered sets and a series of experiments, including five-player computer-mediated experiments and 35-player paper-format experiments. The results support the theoretic appeal of the uncovered set. Outcomes overwhelmingly lie in or near the uncovered set. Furthermore, when preferences shift, outcomes track the uncovered set. Although outcomes tend to occur within the uncovered set, they are not necessarily stable; majority dominance relationships still produce instability, albeit constrained by the uncovered set.

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  • Bianco, William T. & Lynch, Michael S. & Miller, Gary J. & Sened, Itai, 2008. "The Constrained Instability of Majority Rule: Experiments on the Robustness of the Uncovered Set," Political Analysis, Cambridge University Press, vol. 16(2), pages 115-137, April.
    • Handle: RePEc:cup:polals:v:16:y:2008:i:02:p:115-137_00
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    Cited by:

    1. Jan Sauermann & André Kaiser, 2010. "Taking Others into Account: Self‐Interest and Fairness in Majority Decision Making," American Journal of Political Science, John Wiley & Sons, vol. 54(3), pages 667-685, July.
    2. William T. Bianco & Christopher Kam & Itai Sened & Regina A. Smyth, 2015. "The uncovered set and its applications," Chapters, in: Jac C. Heckelman & Nicholas R. Miller (ed.), Handbook of Social Choice and Voting, chapter 19, pages 347-366, Edward Elgar Publishing.
    3. Dougherty, Keith L. & Kisaalita, Alice & McKissick, Jordan & Katz, Evan, 2020. "Stopping rules for majority voting: A public choice experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 175(C), pages 353-364.
    4. de Groot Ruiz, Adrian & Ramer, Roald & Schram, Arthur, 2016. "Formal versus informal legislative bargaining," Games and Economic Behavior, Elsevier, vol. 96(C), pages 1-17.
    5. Keith Dougherty & Brian Pitts & Justin Moeller & Robi Ragan, 2014. "An experimental study of the efficiency of unanimity rule and majority rule," Public Choice, Springer, vol. 158(3), pages 359-382, March.
    6. Jacob Bower-Bir & William Bianco & Nicholas D’Amico & Christopher Kam & Itai Sened & Regina Smyth, 2015. "Predicting majority rule: Evaluating the uncovered set and the strong point," Journal of Theoretical Politics, , vol. 27(4), pages 650-672, October.
    7. William Bianco & Christopher Kam & Itai Sened & Regina Smyth, 2014. "Party relevance and party survival in new democracies," International Area Studies Review, Center for International Area Studies, Hankuk University of Foreign Studies, vol. 17(3), pages 251-261, September.
    8. Keith Dougherty & Julian Edward, 2012. "Voting for Pareto optimality: a multidimensional analysis," Public Choice, Springer, vol. 151(3), pages 655-678, June.

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