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A Group Decision-Making Methodology with Incomplete Individual Beliefs Applied to e-Democracy

Author

Listed:
  • Alfonso Mateos

    (Technical University of Madrid)

  • Antonio Jiménez-Martín

    (Technical University of Madrid)

  • Sixto Ríos-Insua

    (Technical University of Madrid)

Abstract

We consider the situation where there are several alternatives for investing a quantity of money to achieve a set of objectives. The choice of which alternative to apply depends on how citizens and political representatives perceive that such objectives should be achieved. All citizens with the right to vote can express their preferences in the decision-making process. These preferences may be incomplete. Political representatives represent the citizens who have not taken part in the decision-making process. The weight corresponding to political representatives depends on the number of citizens that have intervened in the decision-making process. The methodology we propose needs the participants to specify for each alternative how they rate the different attributes and the relative importance of attributes. On the basis of this information an expected utility interval is output for each alternative. To do this, an evidential reasoning approach is applied. This approach improves the insightfulness and rationality of the decision-making process using a belief decision matrix for problem modeling and the Dempster–Shafer theory of evidence for attribute aggregation. Finally, we propose using the distances of each expected utility interval from the maximum and the minimum utilities to rank the alternative set. The basic idea is that an alternative is ranked first if its distance to the maximum utility is the smallest, and its distance to the minimum utility is the greatest. If only one of these conditions is satisfied, a distance ratio is then used.

Suggested Citation

  • Alfonso Mateos & Antonio Jiménez-Martín & Sixto Ríos-Insua, 2015. "A Group Decision-Making Methodology with Incomplete Individual Beliefs Applied to e-Democracy," Group Decision and Negotiation, Springer, vol. 24(4), pages 633-653, July.
  • Handle: RePEc:spr:grdene:v:24:y:2015:i:4:d:10.1007_s10726-014-9401-y
    DOI: 10.1007/s10726-014-9401-y
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    References listed on IDEAS

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    1. Antonio Jiménez & Alfonso Mateos & Sixto Ríos-Insua, 2005. "Monte Carlo Simulation Techniques in a Decision Support System for Group Decision Making," Group Decision and Negotiation, Springer, vol. 14(2), pages 109-130, March.
    2. Stewart, TJ, 1992. "A critical survey on the status of multiple criteria decision making theory and practice," Omega, Elsevier, vol. 20(5-6), pages 569-586.
    3. J Rios & D Rios Insua, 2008. "A framework for participatory budget elaboration support," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(2), pages 203-212, February.
    4. Keeney,Ralph L. & Raiffa,Howard, 1993. "Decisions with Multiple Objectives," Cambridge Books, Cambridge University Press, number 9780521438834, October.
    5. Weber, Martin & Borcherding, Katrin, 1993. "Behavioral influences on weight judgments in multiattribute decision making," European Journal of Operational Research, Elsevier, vol. 67(1), pages 1-12, May.
    6. Rebecca Abers, 1998. "From Clientelism to Cooperation: Local Government, Participatory Policy, and Civic Organizing in Porto Alegre, Brazil," Politics & Society, , vol. 26(4), pages 511-537, December.
    7. Beynon, Malcolm & Curry, Bruce & Morgan, Peter, 2000. "The Dempster-Shafer theory of evidence: an alternative approach to multicriteria decision modelling," Omega, Elsevier, vol. 28(1), pages 37-50, February.
    8. Jinbaek Kim, 2008. "A model and case for supporting participatory public decision making in e-democracy," Group Decision and Negotiation, Springer, vol. 17(3), pages 179-193, May.
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    Cited by:

    1. Claudia Niemeyer & Timm Teubner & Margeret Hall & Christof Weinhardt, 2018. "The Impact of Dynamic Feedback and Personal Budgets on Arousal and Funding Behaviour in Participatory Budgeting," Group Decision and Negotiation, Springer, vol. 27(4), pages 611-636, August.

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