IDEAS home Printed from https://ideas.repec.org/a/spr/grdene/v24y2015i4d10.1007_s10726-014-9401-y.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10726-014-9401-y
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10726-014-9401-y?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Keeney,Ralph L. & Raiffa,Howard, 1993. "Decisions with Multiple Objectives," Cambridge Books, Cambridge University Press, number 9780521438834, October.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. McKenna, R. & Bertsch, V. & Mainzer, K. & Fichtner, W., 2018. "Combining local preferences with multi-criteria decision analysis and linear optimization to develop feasible energy concepts in small communities," European Journal of Operational Research, Elsevier, vol. 268(3), pages 1092-1110.
    2. Chang, Yu-Hern & Yeh, Chung-Hsing, 2001. "Evaluating airline competitiveness using multiattribute decision making," Omega, Elsevier, vol. 29(5), pages 405-415, October.
    3. Klimovský Daniel & Secinaro Silvana & Baláž Martina Benzoni & Brescia Valerio, 2024. "Participatory Budgeting as a Democratic and Managerial Innovation: Recent Trends and Avenues for Further Research," Central European Journal of Public Policy, Sciendo, vol. 18(1), pages 52-71.
    4. Ed Cook & Jason R. W. Merrick, 2023. "Technology Implementation at Capital One," Interfaces, INFORMS, vol. 53(3), pages 178-191, May.
    5. P. S. Nagpaul & Santanu Roy, 2003. "Constructing a multi-objective measure of research performance," Scientometrics, Springer;Akadémiai Kiadó, vol. 56(3), pages 383-402, March.
    6. Hobbs, Benjamin F & Horn, Graham TF, 1997. "Building public confidence in energy planning: a multimethod MCDM approach to demand-side planning at BC gas," Energy Policy, Elsevier, vol. 25(3), pages 357-375, February.
    7. Zilla Sinuany-Stern, 2014. "Quadratic model for allocating operational budget in public and nonprofit organizations," Annals of Operations Research, Springer, vol. 221(1), pages 357-376, October.
    8. Salo, Ahti A., 1995. "Interactive decision aiding for group decision support," European Journal of Operational Research, Elsevier, vol. 84(1), pages 134-149, July.
    9. Wulf, David & Bertsch, Valentin, 2016. "A natural language generation approach to support understanding and traceability of multi-dimensional preferential sensitivity analysis in multi-criteria decision making," MPRA Paper 75025, University Library of Munich, Germany.
    10. Daniel R. Georgiadis & Thomas A. Mazzuchi & Shahram Sarkani, 2013. "Using multi criteria decision making in analysis of alternatives for selection of enabling technology," Systems Engineering, John Wiley & Sons, vol. 16(3), pages 287-303, September.
    11. Yang, J.B. & Wang, Y.M. & Xu, D.L. & Chin, K.S., 2006. "The evidential reasoning approach for MADA under both probabilistic and fuzzy uncertainties," European Journal of Operational Research, Elsevier, vol. 171(1), pages 309-343, May.
    12. Yeh, Chung-Hsing & Xu, Yan, 2013. "Managing critical success strategies for an enterprise resource planning project," European Journal of Operational Research, Elsevier, vol. 230(3), pages 604-614.
    13. Schuwirth, N. & Reichert, P. & Lienert, J., 2012. "Methodological aspects of multi-criteria decision analysis for policy support: A case study on pharmaceutical removal from hospital wastewater," European Journal of Operational Research, Elsevier, vol. 220(2), pages 472-483.
    14. Jessop, Alan, 2014. "IMP: A decision aid for multiattribute evaluation using imprecise weight estimates," Omega, Elsevier, vol. 49(C), pages 18-29.
    15. Bell, Michelle L. & Hobbs, Benjamin F. & Ellis, Hugh, 2003. "The use of multi-criteria decision-making methods in the integrated assessment of climate change: implications for IA practitioners," Socio-Economic Planning Sciences, Elsevier, vol. 37(4), pages 289-316, December.
    16. Nopadon Kronprasert & Antti Talvitie, 2015. "Use of reasoning maps in evaluation of transport alternatives: inclusion of uncertainty and “I Don’t Know”: demonstration of a method," Transportation, Springer, vol. 42(2), pages 389-406, March.
    17. Gilberto Montibeller & Detlof von Winterfeldt, 2015. "Cognitive and Motivational Biases in Decision and Risk Analysis," Risk Analysis, John Wiley & Sons, vol. 35(7), pages 1230-1251, July.
    18. Robin L. Dillon & Vicki M. Bier & Richard Sheffield John & Abdullah Althenayyan, 2023. "Closing the Gap Between Decision Analysis and Policy Analysts Before the Next Pandemic," Decision Analysis, INFORMS, vol. 20(2), pages 109-132, June.
    19. Dalton Garcia Borges de Souza & Erivelton Antonio dos Santos & Nei Yoshihiro Soma & Carlos Eduardo Sanches da Silva, 2021. "MCDM-Based R&D Project Selection: A Systematic Literature Review," Sustainability, MDPI, vol. 13(21), pages 1-34, October.
    20. Schneider, Frank, 2008. "Multiple criteria decision making in application layer networks," Bayreuth Reports on Information Systems Management 36, University of Bayreuth, Chair of Information Systems Management.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:grdene:v:24:y:2015:i:4:d:10.1007_s10726-014-9401-y. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.