Multiple criteria option prioritization method in the graph model for conflict resolution

The Graph Model for Conflict Resolution (GMCR) is a widely used technique for analyzing conflicts involving two or more decision makers (DMs), where each of them has a set of actions to be taken (the options) and different perceptions (the preferences) about the possible outcomes of the dispute (the states). In fact, preference information is essential for applying GMCR and its absence precludes the use of formal conflict analysis methods. This paper proposes a multi-criteria extension of the option prioritization technique for preference elicitation within the GMCR framework. In the standard approach, each DM is required to provide a complete ranking of preference statements expressed as Boolean combinations of conflict options. The proposed method relaxes this requirement by allowing indifference among preference statements. To illustrate the approach, it is applied to an Information Technology (IT) outsourcing conflict involving two DMs: the service provider and the client organization. The results highlight two main advantages: (i) the method supports DMs in formulating preference statements based on explicit criteria; and (ii) it produces more structured preference rankings.

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Publication Details

Journal
Discrete Applied Mathematics
Published
2026-04-27
DOI
https://doi.org/10.1016/j.dam.2026.04.022
Primary Topic
Game Theory and Applications
Type
article
Field-Weighted Citation Impact
0.00

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article

Multiple criteria option prioritization method in the graph model for conflict resolution

Leandro Chaves REGO, Maísa Mendonça Silva, Raí dos Santos Mota
Discrete Applied Mathematics
Game Theory and Applications
article

Multiple criteria option prioritization method in the graph model for conflict resolution

Leandro Chaves REGO, Maísa Mendonça Silva, Raí dos Santos Mota
article en

Abstract

The Graph Model for Conflict Resolution (GMCR) is a widely used technique for analyzing conflicts involving two or more decision makers (DMs), where each of them has a set of actions to be taken (the options) and different perceptions (the preferences) about the possible outcomes of the dispute (the states). In fact, preference information is essential for applying GMCR and its absence precludes the use of formal conflict analysis methods. This paper proposes a multi-criteria extension of the option prioritization technique for preference elicitation within the GMCR framework. In the standard approach, each DM is required to provide a complete ranking of preference statements expressed as Boolean combinations of conflict options. The proposed method relaxes this requirement by allowing indifference among preference statements. To illustrate the approach, it is applied to an Information Technology (IT) outsourcing conflict involving two DMs: the service provider and the client organization. The results highlight two main advantages: (i) the method supports DMs in formulating preference statements based on explicit criteria; and (ii) it produces more structured preference rankings.

Discrete Applied MathematicsVol. 390
Universidade Federal do Ceará (BR), Universidade Federal de Pernambuco (BR)
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico
Peace, Justice and strong institutions
Openalex Percentile: Top 4%
Game Theory and Applications
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Multiple criteria option prioritization method in the graph model for conflict resolution — Leandro Chaves REGO, Maísa Mendonça Silva, et al. · Discrete Applied Mathematics (2026) | TGRS Research Map | TGRS