Combining strength and uncertainty for preferences in the graph model for conflict resolution with multiple decision makers |
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Authors: | Haiyan Xu Keith W Hipel D Marc Kilgour Ye Chen |
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Institution: | (1) Conflict Analysis Group Department of Systems Design Engineering, University of Waterloo Waterloo, Ontario, Canada N2L 3G1;(2) Department of Mathematics Wilfrid Laurier, University Waterloo, Ontario, Canada N2L 3 C5; |
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Abstract: | A hybrid preference framework is proposed for strategic conflict analysis to integrate preference strength and preference
uncertainty into the paradigm of the graph model for conflict resolution (GMCR) under multiple decision makers. This structure
offers decision makers a more flexible mechanism for preference expression, which can include strong or mild preference of
one state or scenario over another, as well as equal preference. In addition, preference between two states can be uncertain.
The result is a preference framework that is more general than existing models which consider preference strength and preference
uncertainty separately. Within the hybrid preference structure, four kinds of stability are defined as solution concepts and
a post-stability analysis, called status quo analysis, which can be used to track the evolution of a given conflict. Algorithms
are provided for implementing the key inputs of stability analysis and status quo analysis within the extended preference
structure. The new stability concepts under the hybrid preference structure can be used to model complex strategic conflicts
arising in practical applications, and can provide new insights for the conflicts. The method is illustrated using the conflict
over proposed bulk water exports from Lake Gisborne in Newfoundland, Canada. |
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Keywords: | |
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