A stepwise conflict analysis using the graph model

Information about decision-makers' preferences is essential for the efficient modeling of a conflict. However, obtaining this information becomes more challenging as the size of the conflict increases. To address this issue, this study proposes a new approach to the option prioritizing method within the graph model for conflict resolution. The approach aims to gather preferences from decision-makers in a more consistent and practical manner. The proposed method involves partitioning the set of conflict options based on their importance, then applying the option prioritizing method and conflict stability analysis to subconflicts, where only the options in each partition set are considered. Additionally, only states that are equilibria in a given step are deemed feasible in subsequent steps. The main findings highlight a reduction in the cognitive effort required from decision-makers and the generation of more effective and consistent solutions that address the core needs of the conflict. By working with subsets of options incrementally, the method offers a more simplified and robust understanding of the problem. To demonstrate the proposed method, a real hydrological conflict was used as a case study.