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Scoring run-off paradoxes for variable electorates

Author

Listed:
  • 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.

Suggested Citation

  • Dominique Lepelley & Vincent Merlin, 2001. "Scoring run-off paradoxes for variable electorates," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 17(1), pages 53-80.
    • 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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    Citations

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    Cited by:

    1. 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.
    2. Brandt, Felix & Geist, Christian & Peters, Dominik, 2017. "Optimal bounds for the no-show paradox via SAT solving," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 18-27.
    3. Conal Duddy, 2014. "Condorcet’s principle and the strong no-show paradoxes," Theory and Decision, Springer, vol. 77(2), pages 275-285, August.
    4. Sébastien Courtin & Boniface Mbih & Issofa Moyouwou & Thomas Senné, 2010. "The reinforcement axiom under sequential positional rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(3), pages 473-500, September.
    5. Florenz Plassmann & T. Tideman, 2014. "How frequently do different voting rules encounter voting paradoxes in three-candidate elections?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(1), pages 31-75, January.
    6. Mohamed, Issam A.W., 2010. "Tyrannical Greed and National Disintegration of the Sudanese Nation," MPRA Paper 31812, University Library of Munich, Germany.
    7. 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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