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The Effect of Closeness on the Election of a Pairwise Majority Rule Winner

Author

Listed:
  • Patrizia Pérez-Asurmendi

    (PRESAD Research Group and IMUVA, Department of Economic Analysis, UCM, Madrid)

  • Abdelmonaim Tlidi

    (UCA - Université Cadi Ayyad [Marrakech])

  • Mostapha Diss

    (CRESE - Centre de REcherches sur les Stratégies Economiques (UR 3190) - UFC - Université de Franche-Comté - UBFC - Université Bourgogne Franche-Comté [COMUE], AIRESS - Africa Institute for Research in Economics and Social Sciences)

Abstract

Some studies (e.g., Lepelley et al. 2018; Miller 2017) recently examined the effect of closeness on the probability of observing the monotonicity paradox in three-candidate elections under Scoring Elimination Rules. It was shown that the frequency of such a paradox significantly increases as elections become more closely contested. In this chapter we consider the effect of closeness on one of the most studied notions in social choice theory: The election of the Condorcet winner, i.e., the candidate who defeats any other opponent in pairwise majority comparisons, when she exists. To be more concrete, we use the well-known concept of the Condorcet efficiency, that is, the conditional probability that a voting rule will elect the Condorcet winner, given that such a candidate exists. Our results, based on the Impartial Anonymous Culture (IAC) assumption, show that closeness has also a significant effect on the Condorcet efficiency of some voting rules in the class of Scoring Rules and Scoring Elimination Rules.

Suggested Citation

  • Patrizia Pérez-Asurmendi & Abdelmonaim Tlidi & Mostapha Diss, 2021. "The Effect of Closeness on the Election of a Pairwise Majority Rule Winner," Post-Print hal-04420156, HAL.
    • Handle: RePEc:hal:journl:hal-04420156
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