Alcantud, José Carlos R. and de Andres Calle, Rocio and Cascon, José Manuel (2012): Approval consensus measures.
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In many realistic group decision making problems where a “representative” collective output must be produced, it is relevant to measure how much consensus this solution conveys to the group. Many aspects influence the final decision in group decision making problems. Two key issues are the experts’ individual opinions and the methodology followed to compute such a final decision (aggregation operators, voting systems, etc.). In this paper we consider situations where each member of a population decides upon approving or not approving each of a set of options. The experts express their opinions in a dichotomous way, e.g., because they intend to use approval voting. In order to measure the consensus or cohesiveness that the expression of the individual preferences conveys we propose the 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.
|Item Type:||MPRA Paper|
|Original Title:||Approval consensus measures|
|Keywords:||Approval voting, Consensus measures, Tanimoto similarity index|
|Subjects:||D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice ; Clubs ; Committees ; Associations|
|Depositing User:||Rocío de Andres Calle|
|Date Deposited:||23 Jun 2012 07:00|
|Last Modified:||17 Nov 2016 20:45|
J. C. R. Alcantud, R. de Andrés Calle, J. M. Cascón, Measurement of consensus with a reference, Journal of Microeconomics Forthcoming.
J. C. R. Alcantud, R. de Andrés Calle, J. M. Cascón, A unifying model to measure consensus solutions in a society, Mathematical and Computer Modelling (2011) doi:10.1016/j.mcm.2011.12.020.
S. Brams, P. C. Fishburn, Approval voting, American Political Science Review 72 (1978) 831–847.
S. Brams, P. C. Fishburn, Approval Voting, Birkhauser, Boston, 1983.
J. Laslier, M. R. Sanver (Eds.), Handbook on Approval Voting, Springer- Verlag, Berlin Heidelberg, 2010.
C. Alós-Ferrer, A simple characterization of approval voting, Social Choice and Welfare 27 (2006) 621–625.
W. Cox, Electoral equilibrium under approval voting, American Journal of Political Science 29 (1985) 112–118.
M. Lines, Approval voting and strategy analysis: A Venitian example, Theory and Decision 20 (1986) 155–172.
R. Weber, Approval voting, The Journal of Economic Perspectives 9 (1995) 39–49.
J. Laslier, Analysing a preference and approval profile, Social Choice and Welfare 20 (2003) 229–242.
M. Vorsatz, Approval voting on dichotomous preferences, Social Choice and Welfare 28 (2007) 127–141.
J. Massó, M. Vorsatz, Weighted approval voting, Economic Theory 36 (2008) 129–146.
C. Alós-Ferrer, D.-G. Grani´c, Two field experiments on approval voting in Germany, Social Choice and Welfare 39 (2012) 171–205.
B. Erdamar, J. L. García-Lapresta, D. Pérez-Román, M. R. Sanver, Measuring consensus in a preference-approval context, Information Fusion (2012) doi:10.1016/j.inffus.2012.02.004.
R. Bosch, Characterizations of voting rules and consensus measures, Ph.D. thesis, Tilburg University (2005).
T. T. Tanimoto, An elementary mathematical theory of classification and prediction, Tech. rep., IBM (1958).
D. Rogers, T. Tanimoto, A computer program for classifying plants, Science 132 (1960) 1115–1118.
M. Fligner, J. Verducci, P. Blower, A modification of the Jaccard- Tanimoto similarity index for diverse selection of chemical compounds using binary strings, Technometrics 44 (2002) 110–119.
L. Touil, F. Guesmi, K. Fares, A. Ferchichi, Genetic diversity of some mediterranean populations of the cultivated alfalfa (Medicago sativa L.) using ISSR markers, Biotechnology 7 (2008) 808–812.
D. Rodríguez-Baena, A. Pérez-Pulido, J. S. Aguilar-Ruiz, A biclustering algorithm for extracting bit-patterns from binary datasets, Bioinformatics 27 (2011) 2738–2745.