Summary
The Condorcet paradox (also known as the voting paradox or the paradox of voting) is a situation in which collective preferences can be cyclic, even if the preferences of individual voters are not cyclic.
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This is caused by naive majoritarianism, which is self-contradictory.
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Range-voting type ballots can be used to eliminate the damage caused by bipolar simplism.
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When looking at pairwise matchups, no one candidate is preferred by at least as many voters as all the other candidates in the set.
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To resolve voting cycles, the by-laws may send a voting cycle to further discussion and vote trading, tabling the motion or dividing it into parts, to a tie-breaking vote by the chairperson or to a Condorcet-completion rule.
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Summary
The Condorcet paradox (also known as the voting paradox or the paradox of voting) in social choice theory is a situation noted by the Marquis de Condorcet in the late 18th century, in which collective preferences can be cyclic, even if the preferences of individual voters are not cyclic. This is paradoxical, because it means that majority wishes can be in conflict with each other: Suppose majorities prefer, for example, candidate A over B, B over C, and yet C over A. When this occurs, it is because the conflicting majorities are each made up of different groups of individuals.
Condorcet paradox - Wikipedia
wikipedia.org
Summary
Condorcet cycles are a problem with all voting systems based on "rank order ballots" and are caused by naive majoritarianism, which is self-contradictory. Range-voting type ballots are a good reason to prefer them, as they allow for the elimination of self-contradiction cycles and can be used to eliminate the damage caused by bipolar simplism. Naive majoritarianism is not an ideal solution, as it is self-contradictory and can lead to self-contradiction.
RangeVoting.org - Condorcet cycles
rangevoting.org
A Condorcet Winner is an alternative such that it gains a majority of votes when paired against each of the other alternatives. Definition (Condorcet Cycles) A Condorcet Cycle occurs when…
14.75: Sometimes it Gets Complicated
mit.edu
Summary
The voting paradox , Condorcet paradox , or Condorcet cycle is when within a set of candidates, no one candidate is preferred by at least as many voters as all the other candidates in the set when looking at their pairwise matchups .
Condorcet paradox - electowiki
electowiki.org
Summary
Voting cycles are a common problem in real and simulated elections, but can be caused by manipulators of agenda voting or Condorcet's rule. To resolve voting cycles, the by-laws may send a voting cycle to further discussion and vote trading, tabling the motion or dividing it into parts, to a tie-breaking vote by the chairperson or to a Condorcet-completion rule. Tideman's Ranked Pairs and Schulze's Beat Path completion rules can be used to elect the Condorcet winner when there is one, and other manipulation-resistant rules such as Condorcet-Hare Hybrids can be used to break voting cycles using Instant Runoff Voting (IRV).
Voting Cycles - Accurate Democracy
accuratedemocracy.com
Condorcet Cycles? A Model of Intertemporal Voting* Kevin Roberts Nu¢ eld College, Oxford First version: March 2005 This version: May 2005 Abstract An intertemporal voting model is examined where, at…
Condorcet Cycles? A Model of Intertemporal Voting*
ox.ac.uk
