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Violations of Reversal Symmetry Under Simple and Runoff Scoring Rules

In: Evaluating Voting Systems with Probability Models

Author

Listed:
  • Raouia Belayadi

    (Normandie Université, Unicaen, CREM, UMR CNRS 6211)

  • Boniface Mbih

    (Normandie Université, Unicaen, CREM, UMR CNRS 6211)

Abstract

Reversal symmetry is satisfied by a voting rule if the winner of an election is different from the one who is elected when all individual preferences are reversed. We study the vulnerability—in terms of frequencies of violation—of a set of usual and well-known simple and runoff scoring rules to the violation of reversal symmetry. We show that the pattern of the results is very different depending on whether the rule under consideration is a simple scoring rule or a scoring rule with runoff.

Suggested Citation

  • Raouia Belayadi & Boniface Mbih, 2021. "Violations of Reversal Symmetry Under Simple and Runoff Scoring Rules," Studies in Choice and Welfare, in: Mostapha Diss & Vincent Merlin (ed.), Evaluating Voting Systems with Probability Models, pages 137-160, Springer.
  • Handle: RePEc:spr:stcchp:978-3-030-48598-6_7
    DOI: 10.1007/978-3-030-48598-6_7
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