Condorcet Consistency and the strong no show paradoxes
نویسندگان
چکیده
منابع مشابه
Condorcet’s principle and the strong no-show paradoxes
We consider two no-show paradoxes, in which a voter obtains a preferable outcome by abstaining from a vote. One arises when the casting of a ballot that ranks a candidate in first place causes that candidate to lose the election. The other arises when a ballot that ranks a candidate in last place causes that candidate to win. We show that when there are at least four candidates and when voters ...
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Results from voting theory are increasingly used when dealing with collective decision making in computational multiagent systems. An important and surprising phenomenon in voting theory is the No-Show Paradox (NSP), which occurs if a voter is better off by abstaining from an election. While it is known that certain voting rules suffer from this paradox in principle, the extent to which it is p...
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A well-known result in Social Choice theory is the following: every scoring rule (positional rules) violates Condorcet consistency. A rule is Condorcet consistent when it selects the alternative that is preferred to every other alternative by a majority of individuals. In this paper, we investigate some limits of this negative result. We expose the relationship between a weaker version of the C...
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We discuss to which extent the median voter theorem extends to the domain of single-peaked preferences on median spaces. After observing that on this domain a Condorcet winner need not exist, we show that if a Condorcet winner does exist, then it coincides with the median alternative (“the median voter”). Based on this result, we propose two non-cooperative games that implement the unique strat...
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In an election, an alternative is said to be a strong Condorcet winner when more than 50% of the voters rank this alternative first in their preference orders. The strong Condorcet efficiency of a voting rule is defined as the probability of electing the strong Condorcet winner, given that such an alternative exists. In this paper, we provide some analytical representations for the strong Condo...
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ژورنال
عنوان ژورنال: Mathematical Social Sciences
سال: 2019
ISSN: 0165-4896
DOI: 10.1016/j.mathsocsci.2019.03.002