منابع مشابه
Peakedness and peakedness ordering
The peakedness of a random variable (RV) X about a point a is defined by Pa(x) = P(|X − a| ≤ x), x ≥ 0. A RV X is said to be less peaked about a than a RV Y about b, denoted by X ≤pkd(a,b) Y , if P(|X − a| ≤ x) ≤ P(|Y − b| ≤ x) for all x ≥ 0, i.e., |X − a| is stochastically larger than |Y − b|. These generalize the original definitions of Birnbaum (1948) [2] who considered the cases where X and...
متن کاملPeakedness and peakedness ordering in symmetric distributions
There are many ways to measure the dispersion of a random variable. One such method uses the concept of peakedness. If the random variable X is symmetric about a point μ, then Birnbaum (1948) defined the function Pμ(x) = P (|X − μ| ≤ x), x ≥ 0, as the peakedness of X. If two random variables, X and Y , are symmetric about the points μ and ν, respectively, then X is said to be less peaked than Y...
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Consider a set of K alternatives. We say that an alternative is socially acceptable if the number of individuals that rank it among their most preferred half of the alternatives is at least as large as the number of individuals that rank it among the least preferred half. A Condorcet winner is not necessarily socially acceptable. We propose a concept of consensus as a condition on preference pr...
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Single-peakedness is one of the most important and well-known domain restrictions on preferences. The computational study of single-peaked electorates has largely been restricted to elections with tie-free votes, and recent work that studies the computational complexity of manipulative attacks for single-peaked elections for votes with ties has been restricted to nonstandard models of single-pe...
متن کاملManipulation and Single-Peakedness: A General Result
This article considers environments in which individual preferences are single-peaked with respect to an unspecified, but unidimensional, ordering of the alternative space. We show that in these environments, any institution that is coalitionally strategy-proof must be dictatorial. Thus, any nondictatorial institutional environment that does not explicitly utilize an a priori ordering over alte...
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ژورنال
عنوان ژورنال: The American Statistician
سال: 2014
ISSN: 0003-1305,1537-2731
DOI: 10.1080/00031305.2014.917055