Distance from Consensus: A Theme and Variations




Meskanen T, Nurmi H

B. Simeone and F. Pukelsheim

Berlin

2006

Mathematics and Democracy

STUDIES CHOICE WELFA

Studies in Choice and Welfare

117

132

16

978-3-540-35605-9

1614-0311

DOIhttps://doi.org/10.1007/3-540-35605-3_9



Social choice theory deals with aggregating individual opinions into social choices. Over the past decades a large number of choice methods have been evaluated in terms of various criteria of performance. We focus on methods that can be viewed as distance minimizing ones in the sense that they can be analyzed in terms of a goal state of consensus and the methods themselves can be seen as minimizing the distance of the observed pro. le from that consensus. The methods, thus, provide a way of measuring the degree of disagreement prevailing in the profile.



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