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Approval consensus measures

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  • Alcantud, José Carlos R.
  • de Andres Calle, Rocio
  • Cascon, José Manuel

Abstract

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.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 39610.

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Date of creation: Jun 2012
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Handle: RePEc:pra:mprapa:39610

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Related research

Keywords: Approval voting; Consensus measures; Tanimoto similarity index;

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References

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  1. Jordi Massó & Marc Vorsatz, 2006. "Weighted Approval Voting," UFAE and IAE Working Papers 668.06, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  2. Marc Vorsatz, 2007. "Approval Voting on Dichotomous Preferences," Social Choice and Welfare, Springer, vol. 28(1), pages 127-141, January.
  3. Carlos Alós-Ferrer & Ðura-Georg Granić, 2012. "Two field experiments on Approval Voting in Germany," Social Choice and Welfare, Springer, vol. 39(1), pages 171-205, June.
  4. Robert J. Weber, 1995. "Approval Voting," Journal of Economic Perspectives, American Economic Association, vol. 9(1), pages 39-49, Winter.
  5. Carlos Alós-Ferrer, 2006. "A Simple Characterization of Approval Voting," Social Choice and Welfare, Springer, vol. 27(3), pages 621-625, December.
  6. Fishburn, Peter C., 1978. "Axioms for approval voting: Direct proof," Journal of Economic Theory, Elsevier, vol. 19(1), pages 180-185, October.
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Cited by:
  1. Alcantud, José Carlos R. & Muñoz-Torrecillas, María José, 2013. "On the measurement of sociopolitical consensus in direct democracies: Proposal of indexes," MPRA Paper 47268, University Library of Munich, Germany.

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