Matrix Representation of Conflict Resolution in Multiple-Decision-Maker Graph Models with Preference Uncertainty |
| |
Authors: | Haiyan Xu D Marc Kilgour Keith W Hipel |
| |
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; |
| |
Abstract: | Explicit matrix representations of solution concepts in a graph model of a multiple-decision-maker conflict with preference
uncertainty are developed. In a graph model, the relative preferences of each DM over the available states are crucial in
determining which states are stable according to any stability definition (solution concept). Unfortunately, it is often difficult
to obtain accurate preference information in practical cases, so models that allow preference uncertainty can be very useful.
In this work, stability definitions are extended to apply to graph models with this feature. The extension is easiest to implement
using the matrix representation of a conflict model, which was developed to ease the coding of logically-defined stability
definitions. Another benefit of matrix representation is that it facilitates modification and extension of the definitions. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|