A New Approach to Coalition Analysis Within the Graph Model

Within the framework of the graph model for conflict resolution, the concept of coalition improvement is generalized, resulting in new definitions of Nash, general metarational, symmetric metarational, and sequential stability applicable to coalitions. To illustrate how these generalized stability definitions can be applied to a real conflict, they are used to analyze an offshore oil exploration dispute that occurred in the South China Sea in 2014. The novel approach reveals which coalitions can upset a noncooperative equilibrium or support new cooperative equilibria, and which decision makers can benefit from joining a coalition.

[1]  K. Hipel,et al.  Conflict models in graph form: Solution concepts and their interrelationships , 1989 .

[2]  D. Lutz,et al.  Paradoxes of Rationality: Theory of Metagames and Political Behavior , 1973 .

[3]  Keith W. Hipel,et al.  The Graph Model for Conflict Resolution: Past, Present, and Future , 2005 .

[4]  Keith W. Hipel,et al.  Coalition analysis in the graph model for conflict resolution , 2008, Syst. Eng..

[5]  Keith W. Hipel,et al.  The decision support system GMCR in environment conflict management , 1997 .

[6]  Keith W. Hipel,et al.  Matrix representation and extension of coalition analysis in group decision support , 2010, Comput. Math. Appl..

[7]  J. Levy,et al.  President Obama's Offshore Drilling Policy and Energy Security: A Game-Theoretic Policy Analysis , 2010 .

[8]  Leandro Chaves Rêgo,et al.  Symmetric Sequential Stability in the Graph Model for Conflict Resolution with Multiple Decision Makers , 2017 .

[9]  Keith W. Hipel,et al.  Conflict Resolution Using the Graph Model: Strategic Interactions in Competition and Cooperation , 2018 .

[10]  Keith W. Hipel,et al.  A decision support system for interactive decision making-Part I: model formulation , 2003, IEEE Trans. Syst. Man Cybern. Part C.

[11]  Lyn C. Thomas,et al.  Conflict Analysis: Models and Resolutions , 1985 .

[12]  Keith W. Hipel,et al.  A coalition analysis algorithm with application to the Zimbabwe conflict , 1983, IEEE Transactions on Systems, Man, and Cybernetics.

[13]  Keith W. Hipel,et al.  Coalition Analysis in Group Decision Support , 2001 .

[14]  D. Marc Kilgour,et al.  Equilibria for far-sighted players , 1984 .

[15]  J. Nash.  Equilibrium Points in N-Person Games. , 1950, Proceedings of the National Academy of Sciences of the United States of America.

[16]  Eric van Damme,et al.  Non-Cooperative Games , 2000 .

[17]  Keith W. Hipel,et al.  Solving Complex Conflicts , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[18]  Luis G. Vargas.  Conflict analysis: Models and resolutions: Niall M. FRASER and Keith W. HIPEL Volume 11 in: North-Holland Series in System Science and Engineering, North-Holland, New York, 1984, xx + 377 pages, $34.50 , 1985 .

[19]  K. Hipel,et al.  Interrelationships among noncooperative and coalition stability concepts , 2008 .

[20]  Tom Gilb,et al.  Interactive Decision Making: The Graph Model for Conflict Resolution , 1994 .

[21]  Frank C. Zagare,et al.  Limited-move equilibria In 2 × 2 games , 1984 .

[22]  Keith W. Hipel,et al.  A decision support system for interactive decision making - Part II: analysis and output interpretation , 2003, IEEE Trans. Syst. Man Cybern. Part C.

[23]  Charles Leake.  Interactive Decision Making: The Graph Model for Conflict Resolution , 1993 .

[24]  S. Brams,et al.  Nonmyopic Equilibria in 2×2 Games , 1981 .

[25]  Keith W. Hipel,et al.  The graph model for conflicts , 1987, Autom..