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Generalized metarationalities in the graph model for conflict resolution |
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| Authors: | Dao-Zhi Zeng |
| Affiliation: | a Graduate School of Management, Kagawa University, Takamatsu, Kagawa 760-8523, Japan b Department of Mechanical and Industrial Engineering, Ryerson University, Toronto, Ont., Canada M5B 2K3 c Department of Systems Design Engineering, University of Waterloo, Waterloo, Ont., Canada N2L 3G1 d Department of Mathematics, Wilfrid Laurier University, Waterloo, Ont., Canada N2L 3C5 |
| Abstract: | 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. |
| Keywords: | Conflict Graph model for conflict resolution Metarational tree Metarationality Policy equilibrium |
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