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Scoring run-off paradoxes for variable electorates

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Author Info

  • Dominique Lepelley

    ()
    (GEMMA, Department of Economics, Université de Caen, Esplanade de la Paix,14032 Caen Cedex, FRANCE)

  • Vincent Merlin

    ()
    (CNRS and GEMMA, MRSH bureau 230, Université de Caen, Esplanade de la Paix, 14032 Caen Cedex, FRANCE)

Abstract

A no-show paradox occurs each time a single voter or a group of voters can manipulate the outcome by not participating to the election process. Among other voting procedures, the scoring run-off methods, which eliminate progressively the alternatives on the basis of scoring rules, suffer from this flaw. We here estimate how frequent this paradox is for three candidate elections under the classical Impartial Culture and Impartial Anonymous Culture assumptions, for different population sizes. The conditions under which this paradox occurs are also described, as well as the relationships with manipulations for a fixed number of voters.

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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 17 (2001)
Issue (Month): 1 ()
Pages: 53-80

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Handle: RePEc:spr:joecth:v:17:y:2001:i:1:p:53-80

Note: Received: October 21, 1999; revised version: January 12, 2000
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Related research

Keywords: Abstention; Paradox; Voting; Manipulation.;

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Cited by:
  1. Sébastien Courtin & Boniface Mbih & Issofa Moyouwou & Thomas Senné, 2010. "The reinforcement axiom under sequential positional rules," Social Choice and Welfare, Springer, vol. 35(3), pages 473-500, September.
  2. Florenz Plassmann & T. Tideman, 2014. "How frequently do different voting rules encounter voting paradoxes in three-candidate elections?," Social Choice and Welfare, Springer, vol. 42(1), pages 31-75, January.
  3. Eyal Baharad & Shmuel Nitzan, 2011. "Condorcet vs. Borda in light of a dual majoritarian approach," Theory and Decision, Springer, vol. 71(2), pages 151-162, August.
  4. Mohamed, Issam A.W., 2010. "Tyrannical Greed and National Disintegration of the Sudanese Nation," MPRA Paper 31812, University Library of Munich, Germany.
  5. Duddy, Conal, 2012. "Condorcet's principle and the strong no-show paradoxes," MPRA Paper 41527, University Library of Munich, Germany.
  6. Wilson, Mark C. & Pritchard, Geoffrey, 2007. "Probability calculations under the IAC hypothesis," Mathematical Social Sciences, Elsevier, vol. 54(3), pages 244-256, December.

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