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Other Incompatibility Paradoxes

In: Voting Paradoxes and Group Coherence

Author

Listed:
  • William V. Gehrlein

    (University of Delaware)

  • Dominique Lepelley

    (Université de La Réunion)

Abstract

The notion of Incompatibility Paradoxes was introduced in Chap. 1 , where they were defined as representing situations in which there are multiple possible definitions of what constitutes the best candidate for selection as the winner from a set of available candidates, and where these multiple definitions cannot be simultaneously met by a voting rule. Condorcet’s Paradox is one such outcome, and we have already discussed that in detail, to see that the likelihood that this paradox is observed consistently decreases as the degree of group mutual coherence increases. We now consider the two remaining incompatibility paradoxes, Borda’s Paradox and Condorcet’s Other Paradox. We start our analysis by looking for a relationship between the probability that Borda’s Paradox is observed and the degree of group mutual coherence that is present in a voting situation.

Suggested Citation

  • William V. Gehrlein & Dominique Lepelley, 2011. "Other Incompatibility Paradoxes," Studies in Choice and Welfare, in: Voting Paradoxes and Group Coherence, chapter 0, pages 81-121, Springer.
    • Handle: RePEc:spr:stcchp:978-3-642-03107-6_3
    DOI: 10.1007/978-3-642-03107-6_3
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