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Utility Function for modeling Group Multicriteria Decision Making problems as games

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  • Leoneti, Alexandre Bevilacqua

Abstract

To assist in the decision making process, several multicriteria methods have been proposed. However, the existing methods assume a single decision-maker and do not consider decision under risk, which is better addressed by Game Theory. Hence, the aim of this research is to propose a Utility Function that makes it possible to model Group Multicriteria Decision Making problems as games. The advantage of using Game Theory for solving Group Multicriteria Decision Making problems is to evaluate the conflicts between the decision makers using a strategical approach.

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  • Leoneti, Alexandre Bevilacqua, 2016. "Utility Function for modeling Group Multicriteria Decision Making problems as games," Operations Research Perspectives, Elsevier, vol. 3(C), pages 21-26.
    • Handle: RePEc:eee:oprepe:v:3:y:2016:i:c:p:21-26
    DOI: 10.1016/j.orp.2016.04.001
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    1. Zahir, Sajjad, 1999. "Geometry of decision making and the vector space formulation of the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 112(2), pages 373-396, January.
    2. Martin G. Kocher & Matthias Sutter, 2005. "The Decision Maker Matters: Individual Versus Group Behaviour in Experimental Beauty-Contest Games," Economic Journal, Royal Economic Society, vol. 115(500), pages 200-223, January.
    3. F. Hutton Barron & Bruce E. Barrett, 1996. "Decision Quality Using Ranked Attribute Weights," Management Science, INFORMS, vol. 42(11), pages 1515-1523, November.
    4. Szidarovszky, Ferenc & Duckstein, Lucien & Bogardi, Istvan, 1984. "Multiobjective management of mining under water hazard by game theory," European Journal of Operational Research, Elsevier, vol. 15(2), pages 251-258, February.
    5. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    6. Ralph L. Keeney, 2013. "Foundations for Group Decision Analysis," Decision Analysis, INFORMS, vol. 10(2), pages 103-120, June.
    7. Jyrki Wallenius & James S. Dyer & Peter C. Fishburn & Ralph E. Steuer & Stanley Zionts & Kalyanmoy Deb, 2008. "Multiple Criteria Decision Making, Multiattribute Utility Theory: Recent Accomplishments and What Lies Ahead," Management Science, INFORMS, vol. 54(7), pages 1336-1349, July.
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    Cited by:

    1. Alexandre Bevilacqua Leoneti & René Bañares-Alcántara & Eduardo Cleto Pires & Sonia Valle Walter Borges Oliveira, 2022. "A Multi-Criteria and Multi-Agent Framework for supporting complex decision-making processes," Group Decision and Negotiation, Springer, vol. 31(5), pages 1025-1050, October.
    2. Galo, Nadya Regina & Calache, Lucas Daniel Del Rosso & Carpinetti, Luiz Cesar Ribeiro, 2018. "A group decision approach for supplier categorization based on hesitant fuzzy and ELECTRE TRI," International Journal of Production Economics, Elsevier, vol. 202(C), pages 182-196.
    3. Dmitry Gimon & Alexandre Bevilacqua Leoneti, 2020. "A refined utility function for modeling “me” vs. “us” allocation in a sequential group decision process," EURO Journal on Decision Processes, Springer;EURO - The Association of European Operational Research Societies, vol. 8(1), pages 1-12, May.
    4. Cuoghi, Kaio Guilherme & Leoneti, Alexandre Bevilacqua, 2019. "A group MCDA method for aiding decision-making of complex problems in public sector: The case of Belo Monte Dam," Socio-Economic Planning Sciences, Elsevier, vol. 68(C).
    5. Gomes, Luís S. & Santos, Sérgio P. & Coelho, Luís Serra & Rebelo, Efigénio L., 2023. "Using MCDA to assist an Intermunicipal community develop a resilience strategy in face of the pandemic caused by the SARS-CoV-2," Socio-Economic Planning Sciences, Elsevier, vol. 87(PB).
    6. A. B. Leoneti & G. A. Prataviera, 2020. "Entropy-Norm space for geometric selection of strict Nash equilibria in n-person games," Papers 2003.09225, arXiv.org.
    7. Leoneti, Alexandre Bevilacqua & Gomes, Luiz Flavio Autran Monteiro, 2021. "Modeling multicriteria group decision making as games from enhanced pairwise comparisons," Operations Research Perspectives, Elsevier, vol. 8(C).
    8. Felipe Costa Araujo & Alexandre Bevilacqua Leoneti, 2020. "Evaluating the Stability of the Oil and Gas Exploration and Production Regulatory Framework in Brazil," Group Decision and Negotiation, Springer, vol. 29(1), pages 143-156, February.
    9. Leoneti, A.B. & Prataviera, G.A., 2020. "Entropy-norm space for geometric selection of strict Nash equilibria in n-person games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 546(C).
    10. Cuoghi, Kaio Guilherme & Leoneti, Alexandre Bevilacqua & Passador, João Luiz, 2022. "On the choice of public or private management models in the Brazilian Unified Health System (SUS)," Socio-Economic Planning Sciences, Elsevier, vol. 84(C).

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