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An Improved Graph Model for Conflict Resolution Based on Option Prioritization and Its Application.

Kedong Yin1,2, Li Yu3, Xuemei Li4,5

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A new score function quantifies decision-maker preferences for different states, enhancing the graph model for conflict resolution (GMCR). This improved model analyzes coalition motivation and stability, proving useful in practical conflict scenarios.

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graph model for conflict resolutionoption prioritizationreal-coalition stability analysissustainable development on conflict analysis

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Area of Science:

  • Decision Sciences
  • Game Theory
  • Operations Research

Background:

  • Quantitative analysis of decision-maker preferences is crucial for conflict resolution.
  • Existing models may lack comprehensive methods for evaluating coalition dynamics and state preferences.
  • External circumstances and opportunity costs significantly influence coalition behavior.

Purpose of the Study:

  • To propose a novel score function for quantitatively measuring decision-maker preferences across various states.
  • To enhance the applicability of the graph model for conflict resolution (GMCR) by incorporating coalition motivation and stability analysis.
  • To provide a practical framework for analyzing real-coalition stability within a defined coordinate system.

Main Methods:

  • Development of a score function based on a confidence-level function and a "preference tree".
  • Introduction of a coalition improvement function to assess coalition motivation.
  • Construction of a coordinate system for analyzing real-coalition stability.
  • Application of an improved GMCR to a real-world case study (Changzhou Conflict).

Main Results:

  • The proposed score function effectively quantifies preferences for different states.
  • The coalition improvement function accurately measures coalition motivation.
  • The developed coordinate system facilitates the analysis of real-coalition stability.
  • The enhanced GMCR demonstrated practical utility in the Changzhou Conflict case.

Conclusions:

  • The novel score function and associated methods significantly improve the quantitative analysis capabilities of the graph model for conflict resolution.
  • The enhanced GMCR provides a robust tool for understanding and resolving complex conflicts by considering decision-maker preferences, coalition dynamics, and stability.
  • The practical application in the Changzhou Conflict validates the model's effectiveness and ease of use.