IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v259y2017i2p677-688.html
   My bibliography  Save this article

A universal voting system based on the Potential Method

Author

Listed:
  • Čaklović, Lavoslav
  • Kurdija, Adrian Satja

Abstract

Pairwise comparison of various objects (alternatives) is common in many procedures related to decision making. Potential Method (PM) uses a (weighted) preference graph as the basic structure generated by such comparisons to obtain a value function (potential) on the set of alternatives. The potential is calculated as a solution of a system of equations involving the Laplacian matrix of the preference graph. In multiple-criteria decision analysis or group decision making, each criterion or decision maker is represented by its preference graph. A multigraph obtained by joining these graphs aggregates the individual preferences and generates the group potential. Moreover, the influence (weight) of each criterion or decision maker on the group potential may be adjusted. In this article the aggregation of preference graphs is applied to voting systems. Many different forms of voting ballots can generate preference graphs, which gives us a universal (ballot-independent) voting system. As an illustration of the PM in the voting context we have chosen the Eurovision Song Contest and the analysis of the cookie-type ballots where the voters allocate a certain number of points (cookies) to the candidates.

Suggested Citation

  • Čaklović, Lavoslav & Kurdija, Adrian Satja, 2017. "A universal voting system based on the Potential Method," European Journal of Operational Research, Elsevier, vol. 259(2), pages 677-688.
  • Handle: RePEc:eee:ejores:v:259:y:2017:i:2:p:677-688
    DOI: 10.1016/j.ejor.2016.10.032
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221716308669
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2016.10.032?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. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Social Choice: A Mean Voter Theorem," Econometrica, Econometric Society, vol. 59(1), pages 1-23, January.
    2. Escobar, M. T. & Aguaron, J. & Moreno-Jimenez, J. M., 2004. "A note on AHP group consistency for the row geometric mean priorization procedure," European Journal of Operational Research, Elsevier, vol. 153(2), pages 318-322, March.
    3. Bertrand Mareschal & Jean Pierre Brans & Philippe Vincke, 1984. "Prométhée: a new family of outranking methods in multicriteria analysis," ULB Institutional Repository 2013/9305, ULB -- Universite Libre de Bruxelles.
    4. Thomas L. Saaty & Luis G. Vargas, 1998. "Diagnosis with Dependent Symptoms: Bayes Theorem and the Analytic Hierarchy Process," Operations Research, INFORMS, vol. 46(4), pages 491-502, August.
    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. L'aszl'o Csat'o & Csaba T'oth, 2018. "University rankings from the revealed preferences of the applicants," Papers 1810.04087, arXiv.org, revised Feb 2020.
    2. Csató, László & Tóth, Csaba, 2020. "University rankings from the revealed preferences of the applicants," European Journal of Operational Research, Elsevier, vol. 286(1), pages 309-320.
    3. Petróczy, Dóra Gréta, 2021. "An alternative quality of life ranking on the basis of remittances," Socio-Economic Planning Sciences, Elsevier, vol. 78(C).
    4. Csató, László, 2019. "A characterization of the Logarithmic Least Squares Method," European Journal of Operational Research, Elsevier, vol. 276(1), pages 212-216.
    5. Hou, Fujun & Triantaphyllou, Evangelos, 2019. "An iterative approach for achieving consensus when ranking a finite set of alternatives by a group of experts," European Journal of Operational Research, Elsevier, vol. 275(2), pages 570-579.
    6. László Csató, 2019. "Axiomatizations of inconsistency indices for triads," Annals of Operations Research, Springer, vol. 280(1), pages 99-110, September.

    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. Mich Tvede & Hervé Crès, 2001. "Voting in Assemblies of shareholders and Incomplete Markets," SciencePo Working papers hal-01064884, HAL.
    2. Alfandari, Laurent, 2004. "Choice Rules with Size Constraints for Multiple Criteria Decision Making," ESSEC Working Papers DR 04002, ESSEC Research Center, ESSEC Business School.
    3. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09iepsg269m is not listed on IDEAS
    4. Corrente, Salvatore & Figueira, José Rui & Greco, Salvatore, 2014. "The SMAA-PROMETHEE method," European Journal of Operational Research, Elsevier, vol. 239(2), pages 514-522.
    5. Kadziński, MiŁosz & Greco, Salvatore & SŁowiński, Roman, 2012. "Extreme ranking analysis in robust ordinal regression," Omega, Elsevier, vol. 40(4), pages 488-501.
    6. Thomas L. Saaty, 2013. "The Modern Science of Multicriteria Decision Making and Its Practical Applications: The AHP/ANP Approach," Operations Research, INFORMS, vol. 61(5), pages 1101-1118, October.
    7. Hervé Crès & Mich Tvede, 2001. "Proxy fights in incomplete markets: when majority voting and sidepayments are equivalent," Working Papers hal-01065004, HAL.
    8. Gilles Saint‐Paul & Davide Ticchi & Andrea Vindigni, 2021. "Engineering crises: Favoritism and strategic fiscal indiscipline," Economics and Politics, Wiley Blackwell, vol. 33(3), pages 583-610, November.
    9. DavidP. Myatt & Chris Wallace, 2009. "Evolution, Teamwork and Collective Action: Production Targets in the Private Provision of Public Goods," Economic Journal, Royal Economic Society, vol. 119(534), pages 61-90, January.
    10. Madeleine Cule & Richard Samworth & Michael Stewart, 2010. "Maximum likelihood estimation of a multi‐dimensional log‐concave density," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 72(5), pages 545-607, November.
    11. Xefteris, Dimitrios, 2017. "Multidimensional electoral competition between differentiated candidates," Games and Economic Behavior, Elsevier, vol. 105(C), pages 112-121.
    12. Tsai, Wen-Hsien & Hsu, Jui-Ling, 2008. "Corporate social responsibility programs choice and costs assessment in the airline industry—A hybrid model," Journal of Air Transport Management, Elsevier, vol. 14(4), pages 188-196.
    13. Van Asch, Thomas & Dewulf, Wouter & Kupfer, Franziska & Cárdenas, Ivan & Van de Voorde, Eddy, 2020. "Cross-border e-commerce logistics – Strategic success factors for airports," Research in Transportation Economics, Elsevier, vol. 79(C).
    14. M Tavana & M A Sodenkamp, 2010. "A fuzzy multi-criteria decision analysis model for advanced technology assessment at Kennedy Space Center," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(10), pages 1459-1470, October.
    15. Paul Anglin & Richard Arnott, 1999. "Are Brokers' Commission Rates on Home Sales Too High? A Conceptual Analysis," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 27(4), pages 719-749, December.
    16. Martina Kuncova & Jana Seknickova, 2022. "Two-stage weighted PROMETHEE II with results’ visualization," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 30(2), pages 547-571, June.
    17. Greco, Salvatore, 1997. "A new PCCA method: IDRA," European Journal of Operational Research, Elsevier, vol. 98(3), pages 587-601, May.
    18. Anderson, Simon P. & Renault, Regis, 2003. "Efficiency and surplus bounds in Cournot competition," Journal of Economic Theory, Elsevier, vol. 113(2), pages 253-264, December.
    19. Arévalo Quijada, Mª T. & Gómez Domínguez, D. & Vázquez Cueto, Mª J. & Zapata Reina, A., 2002. "Un estudio de las Cajas de Ahorros Andaluzas mediante el método multicriterio promethee," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 20, pages 5-27, Abril.
    20. Majda Ivić & Jelena Kilić & Katarina Rogulj & Nikša Jajac, 2020. "Decision Support to Sustainable Parking Management—Investment Planning through Parking Fines to Improve Pedestrian Flows," Sustainability, MDPI, vol. 12(22), pages 1-19, November.
    21. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.

    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:eee:ejores:v:259:y:2017:i:2:p:677-688. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.