The Strategy of Third-Party Mediation Based on the Option Prioritization in the Graph Model
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The resolution of real-world conflicts is often supported by third-party intervention (i.e., mediation). This paper proposes a possible mediation support in the form of a reverse optimization procedure under the framework of theGraph Model for Conflict Resolution (GMCR). The approach computes minimal priority adjustments of preference statements that are necessary to achieve a desired agreement. A mathematical model, based on the matrix form of GMCR, is developed to analyze this third-party mediation problem. Thereby, this study makes a first attempt to obtain option-based mediation strategies, which add comprehensiveness to the traditional state-based strategies, yet are easier to understand and hence more acceptable to the conflict participants. To illustrate the practicality, the proposed procedure is applied to a medical dispute between a patient and a hospital, with the aim to suggest changes in the ordering of preference statements that lead to a desired outcome.
KeywordsGraph Model for Conflict Resolution third party mediation option prioritization minimal adjustment
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The authors appreciate financial support from the National Natural Science Foundation of China under Grant Nos. 71471087, 71071076 and 61673209.
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