Journal
INFORMATION SCIENCES
Volume 240, Issue -, Pages 45-55Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2013.03.061
Keywords
Dichotomous opinion; Consensus measure; Tanimoto similarity index; 2012 USA presidential election
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Funding
- Spanish Ministerio de Economia y Competitividad [ECO2009-07682, ECO2012-31933, ECO2012-32178, CGL2011-29396-C03-02]
- Junta de Castilla y Leon [SA266A12-2]
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The measurement of the degree of agreement in a group has recently attracted considerable attention by researchers from various fields. In this paper we consider situations where each member of a population classifies a list of options as either acceptable or non-acceptable (as in job committees or elections by approval voting); either agree or disagree (as in polls or surveys); either guilty or not guilty (as in jury courts), etc. In order to measure the cohesiveness that the expression of such dichotomous opinions conveys, we propose the novel concept of approval consensus measure (ACM), which does not refer to any priors of the agents like preferences or other decision-making processes. Then we give axiomatic characterizations of two generic classes of ACMs. Finally, we focus on the 2012 presidential elections in USA as a real scenario to put in practice these two proposals. (C) 2013 Elsevier Inc. All rights reserved.
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