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Consensus reaching in committees

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  • Eklund, Patrik
  • Rusinowska, Agnieszka
  • De Swart, Harrie

Abstract

In this paper, we apply a consensus model to decision-making in committees that have to choose one or more alternatives from a set of alternatives. The model does not use a voting rule nor a set of winning coalitions. Every decision maker evaluates each alternative with respect to given criteria. The criteria may be of unequal importance to a decision maker. Decision makers may be advised by a chairman to adjust their preferences, i.e., to change their evaluation of some alternative(s) or/and the importance of the criteria, in order to obtain a better consensus. The consensus result should satisfy constraints concerning the consensus degree and the ma jority degree. A simple example is presented.
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Suggested Citation

  • Eklund, Patrik & Rusinowska, Agnieszka & De Swart, Harrie, 2007. "Consensus reaching in committees," European Journal of Operational Research, Elsevier, vol. 178(1), pages 185-193, April.
  • Handle: RePEc:eee:ejores:v:178:y:2007:i:1:p:185-193
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    References listed on IDEAS

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    1. Nurmi, Hannu, 2005. "Aggregation problems in policy evaluation: an overview," European Journal of Political Economy, Elsevier, vol. 21(2), pages 287-300, June.
    2. Brams, Steven J. & Fishburn, Peter C., 2002. "Voting procedures," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 4, pages 173-236 Elsevier.
    3. Roubens, Marc & Rusinowska, Agnieszka & de Swart, Harrie, 2006. "Using MACBETH to determine utilities of governments to parties in coalition formation," European Journal of Operational Research, Elsevier, vol. 172(2), pages 588-603, July.
    4. Laruelle, Annick & Valenciano, Federico, 2008. "Noncooperative foundations of bargaining power in committees and the Shapley-Shubik index," Games and Economic Behavior, Elsevier, vol. 63(1), pages 341-353, May.
    5. Steven Brams & Michael Jones & D. Kilgour, 2005. "Forming stable coalitions: The process matters," Public Choice, Springer, vol. 125(1), pages 67-94, July.
    6. Steven Brams & D. Kilgour & M. Sanver, 2007. "A minimax procedure for electing committees," Public Choice, Springer, vol. 132(3), pages 401-420, September.
    7. Carlsson, Christer & Ehrenberg, Dieter & Eklund, Patrik & Fedrizzi, Mario & Gustafsson, Patrik & Lindholm, Paul & Merkuryeva, Galina & Riissanen, Tony & G.S. Ventre, Aldo, 1992. "Consensus in distributed soft environments," European Journal of Operational Research, Elsevier, vol. 61(1-2), pages 165-185, August.
    8. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
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    Cited by:

    1. González-Arteaga, T. & Alcantud, J.C.R. & de Andrés Calle, R., 2016. "A cardinal dissensus measure based on the Mahalanobis distance," European Journal of Operational Research, Elsevier, vol. 251(2), pages 575-585.
    2. Agnieszka Rusinowka & Akylai Taalaibekova, 2018. "Opinion formation and targeting when persuaders have extreme and centrist opinions," Documents de travail du Centre d'Economie de la Sorbonne 18005, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    3. Fernandez, Eduardo & Olmedo, Rafael, 2013. "An outranking-based general approach to solving group multi-objective optimization problems," European Journal of Operational Research, Elsevier, vol. 225(3), pages 497-506.
    4. Gong, Zaiwu & Xu, Xiaoxia & Zhang, Huanhuan & Aytun Ozturk, U. & Herrera-Viedma, Enrique & Xu, Chao, 2015. "The consensus models with interval preference opinions and their economic interpretation," Omega, Elsevier, vol. 55(C), pages 81-90.
    5. Gong, Zaiwu & Zhang, Huanhuan & Forrest, Jeffrey & Li, Lianshui & Xu, Xiaoxia, 2015. "Two consensus models based on the minimum cost and maximum return regarding either all individuals or one individual," European Journal of Operational Research, Elsevier, vol. 240(1), pages 183-192.
    6. Agnieszka Rusinowska & Akylai Taalaibekova, 2018. "Opinion formation and targeting when persuaders have extreme and centrist opinions," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01720017, HAL.

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