TY - JOUR
T1 - Generalized metarationalities in the graph model for conflict resolution
AU - Zeng, Dao Zhi
AU - Fang, Liping
AU - Hipel, Keith W.
AU - Marc Kilgour, D.
N1 - Funding Information:
The first author acknowledges financial support from the Japanese Ministry of Education, Culture, Sports, Science and Technology (Grants-in-Aid for Scientific Research 13851002 and 18530179) and from Kagawa University (Exploratory Research), the second and third authors are grateful to the Natural Sciences and Engineering Research Council of Canada, and the fourth author appreciates support from the Social Sciences and Humanities Research Council of Canada. All of the authors are grateful to the guest editors and anonymous referees for their helpful comments.
PY - 2006/11/1
Y1 - 2006/11/1
N2 - A metarational tree is defined within the graph model for conflict resolution paradigm, providing a general framework within which rational behavior in models with two decision makers (DMs) can be described more comprehensively. A new definition of stability for a DM that depends on the total number, h, of moves and counter-moves allowed is proposed. Moreover, the metarational tree can be refined so that all moves must be unilateral improvements, resulting in a new set of stability definitions for each level of the tree. Relationships among stabilities at various levels of the basic and refined trees are explored, and connections are established to existing stability definitions including Nash stability, general metarationality, symmetric metarationality, sequential and limited-move stability, and policy equilibria.
AB - A metarational tree is defined within the graph model for conflict resolution paradigm, providing a general framework within which rational behavior in models with two decision makers (DMs) can be described more comprehensively. A new definition of stability for a DM that depends on the total number, h, of moves and counter-moves allowed is proposed. Moreover, the metarational tree can be refined so that all moves must be unilateral improvements, resulting in a new set of stability definitions for each level of the tree. Relationships among stabilities at various levels of the basic and refined trees are explored, and connections are established to existing stability definitions including Nash stability, general metarationality, symmetric metarationality, sequential and limited-move stability, and policy equilibria.
KW - Conflict
KW - Graph model for conflict resolution
KW - Metarational tree
KW - Metarationality
KW - Policy equilibrium
UR - http://www.scopus.com/inward/record.url?scp=33747867834&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33747867834&partnerID=8YFLogxK
U2 - 10.1016/j.dam.2006.04.021
DO - 10.1016/j.dam.2006.04.021
M3 - Article
AN - SCOPUS:33747867834
SN - 0166-218X
VL - 154
SP - 2430
EP - 2443
JO - Discrete Applied Mathematics
JF - Discrete Applied Mathematics
IS - 16
ER -