caa a22 4500 445887311 CHVBK 20180317145603.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s10726-010-9188-4 doi (NATIONALLICENCE)springer-10.1007/s10726-010-9188-4 Matrix Representation of Conflict Resolution in Multiple-Decision-Maker Graph Models with Preference Uncertainty [Elektronische Daten] [Haiyan Xu, D. Kilgour, Keith Hipel] 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. Springer Science+Business Media B.V., 2010 Matrix representation nationallicence Solution concepts nationallicence Graph model nationallicence Preference uncertainty nationallicence Decision makers nationallicence Xu Haiyan College of Economics and Management, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, Jiangsu, China aut Kilgour D. Department of Mathematics, Wilfrid Laurier University, N2L 3C5, Waterloo, ON, Canada aut Hipel Keith Department of Systems Design Engineering, University of Waterloo, N2L 3G1, Waterloo, ON, Canada aut Group Decision and Negotiation Springer Netherlands 20/6(2011-11-01), 755-779 0926-2644 20:6<755 2011 20 10726 https://doi.org/10.1007/s10726-010-9188-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10726-010-9188-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Xu Haiyan College of Economics and Management, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, Jiangsu, China aut NATIONALLICENCE 700 1- Kilgour D. Department of Mathematics, Wilfrid Laurier University, N2L 3C5, Waterloo, ON, Canada aut NATIONALLICENCE 700 1- Hipel Keith Department of Systems Design Engineering, University of Waterloo, N2L 3G1, Waterloo, ON, Canada aut NATIONALLICENCE 773 0- Group Decision and Negotiation Springer Netherlands 20/6(2011-11-01), 755-779 0926-2644 20:6<755 2011 20 10726 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer