Titlebook: Mathematics and Democracy; Recent Advances in V Bruno Simeone,Friedrich Pukelsheim Conference proceedings 2006 Springer-Verlag Berlin Heide

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The Sunfish Against the Octopus: Opposing Compactness to Gerrymandering, ones. In this paper, we try to give theoretical and experimental answers to the following questions: 1) How much biased can the assignment of seats be under the effect of gerrymandering? 2) How effective is compactness as a remedy against gerrymandering? Accordingly, the paper is divided into two p

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Apportionment: Uni- and Bi-Dimensional,he votes of parties or the populations of states, a single number the size of the house—they are shown to be the only methods that are . the definition of the corresponding divisor method when applied to only two states or parties. For the matrix problem—rows correspond to districts, columns to part

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How to Elect a Representative Committee Using Approval Balloting,ed on approval ballots, paying particular attention to weighting methods that can reduce the influence of voters with extreme views. We show that a general class of voting systems based on approval ballots can be implemented through analysis of appropriate tables. A by-product of this procedure is a

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On Some Distance Aspects in Social Choice Theory,e set of binary relations with special emphasis on the set of linear orders. First, it will be shown in what way such distances differ. Second, for the Kemeny-type distance function on the set of choice functions we will provide an explicit expression in terms of the linear orders that rationalize t

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