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The sum of the parts can violate the whole

By: SAARI, Donald G.
Contributor(s): SIEBERG, Katri K.
Material type: materialTypeLabelArticlePublisher: 2001American Political Science Review 95, 2, p. 415-434Abstract: We develop a geometric approach to identify all possible profiles that support specified votes for separete initiatives or for a bundled bill This disaggregation allows us to compute the likelhood of different scenearios describing how voters split over the alternatives and to offer new interpretations for pairwise voting. The source of the problems - an unanticipated loss of availabel information - also explains a variety of other phenomena, such as Simpson`s paradox ( a statiscal paradox in wich the behavior of the "parts" disagrees with that of the "whole") and Arrow`s theorem from social choice
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We develop a geometric approach to identify all possible profiles that support specified votes for separete initiatives or for a bundled bill This disaggregation allows us to compute the likelhood of different scenearios describing how voters split over the alternatives and to offer new interpretations for pairwise voting. The source of the problems - an unanticipated loss of availabel information - also explains a variety of other phenomena, such as Simpson`s paradox ( a statiscal paradox in wich the behavior of the "parts" disagrees with that of the "whole") and Arrow`s theorem from social choice

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