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No-Show Paradoxes under Parliamentary Agendas


  • Boniface Mbih
  • Xingyu Zhao


It may happen that the favorite candidate of a voter loses an election if that voter votes honestly, but gets elected if the voter abstains. Such a situation is known in the social choice literature under the name of « no-show paradox ». This paper is devoted to the evaluation of the likelihood of that phenomenon under parliamentary voting rules.

Suggested Citation

  • Boniface Mbih & Xingyu Zhao, 2011. "No-Show Paradoxes under Parliamentary Agendas," Annals of Economics and Statistics, GENES, issue 101-102, pages 127-147.
  • Handle: RePEc:adr:anecst:y:2011:i:101-102:p:127-147

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    References listed on IDEAS

    1. Laruelle,Annick & Valenciano,Federico, 2011. "Voting and Collective Decision-Making," Cambridge Books, Cambridge University Press, number 9780521182638, March.
    2. Gelman, Andrew & Katz, Jonathan N. & Tuerlinckx, Francis, 2002. "The Mathematics and Statistics of Voting Power," Working Papers 1141, California Institute of Technology, Division of the Humanities and Social Sciences.
    3. Gelman, Andrew & Katz, Jonathan N. & Bafumi, Joseph, 2004. "Standard Voting Power Indexes Do Not Work: An Empirical Analysis," British Journal of Political Science, Cambridge University Press, vol. 34(04), pages 657-674, October.
    4. Marc Feix & Dominique Lepelley & Vincent Merlin & Jean-Louis Rouet, 2007. "On the voting power of an alliance and the subsequent power of its members," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(2), pages 181-207, February.
    5. Fabrice Barthélémy & Mathieu Martin, 2007. "Critères pour une meilleure répartition des sièges au sein des structures intercommunales. Une application au cas du Val-d'Oise," Revue économique, Presses de Sciences-Po, vol. 58(2), pages 399-425.
    6. Straffin, Philip Jr., 1994. "Power and stability in politics," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 32, pages 1127-1151 Elsevier.
    7. Franck Bisson & Jean Bonnet & Dominique Lepelley, 2004. "La détermination du nombre des délégués au sein des structures intercommunales : une application de l'indice de pouvoir de Banzhaf," Revue d'économie régionale et urbaine, Armand Colin, vol. 0(2), pages 259-281.
    8. Philip Straffin, 1977. "Homogeneity, independence, and power indices," Public Choice, Springer, vol. 30(1), pages 107-118, June.
    9. repec:cup:apsrev:v:48:y:1954:i:03:p:787-792_00 is not listed on IDEAS
    10. Fabrice Barthélémy & Mathieu MARTIN & Vincent MERLIN, 2007. "On the performance of the Shapley Shubik and Banzhaf power indices for the allocations of mandates," THEMA Working Papers 2007-25, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    11. Moshé Machover & Dan S. Felsenthal, 2001. "The Treaty of Nice and qualified majority voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(3), pages 431-464.
    12. Leech, Dennis, 2002. "Designing the Voting System for the Council of the European Union," Public Choice, Springer, vol. 113(3-4), pages 437-464, December.
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    Cited by:

    1. Vincent Merlin & Marc Fleurbaey & Dominique Lepelley, 2012. "Introduction to the special issue on new developments in social choice and welfare theories," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 253-257, July.

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