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The reinforcement axiom under sequential positional rules

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  • Sébastien Courtin
  • Boniface Mbih

    ()

  • Issofa Moyouwou
  • Thomas Senné

Abstract

The reinforcement axiom roughly states that when an alternative is selected by two different constituencies, it must also be selected by their union. Hare and Coombs rules are special cases of sequential positional voting rules, which are known to violate this axiom. In this article, we first show that reinforcement can be violated by all such rules. We then evaluate, by the use of Monte Carlo simulations and the Fishburn-Gehrlein technique, the proportion of profiles at which this phenomenon occurs.

(This abstract was borrowed from another version of this item.)

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File URL: http://hdl.handle.net/10.1007/s00355-010-0449-6
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Bibliographic Info

Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 35 (2010)
Issue (Month): 3 (September)
Pages: 473-500

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Handle: RePEc:spr:sochwe:v:35:y:2010:i:3:p:473-500

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  1. Dominique Lepelley & Vincent Merlin, 2001. "Scoring run-off paradoxes for variable electorates," Economic Theory, Springer, vol. 17(1), pages 53-80.
  2. Dominique Lepelley, 1996. "Constant scoring rules, Condorcet criteria and single-peaked preferences (*)," Economic Theory, Springer, vol. 7(3), pages 491-500.
  3. Boniface Mbih & Issofa Moyouwou & Xingyu Zhao, 2010. "On the positive association of parliamentary social choice functions," Social Choice and Welfare, Springer, vol. 35(1), pages 107-127, June.
  4. Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-41, November.
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Cited by:
  1. Sébastien Courtin & Boniface Mbih & Issofa Moyouwou, 2012. "Are Condorcet procedures so bad according to the reinforcement axiom?," THEMA Working Papers 2012-37, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.

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