# Generalized metarationalities in the graph model for conflict resolution

@article{Zeng2006GeneralizedMI, title={Generalized metarationalities in the graph model for conflict resolution}, author={Dao‐Zhi Zeng and Liping Fang and Keith W. Hipel and D. Marc Kilgour}, journal={Discret. Appl. Math.}, year={2006}, volume={154}, pages={2430-2443} }

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## 26 Citations

Policy Equilibrium and Generalized Metarationalities for Multiple Decision-Maker Conflicts

- EconomicsIEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans
- 2007

A fundamental construction is the metarational tree, which expresses DMs' interactions as sequences of rounds, each consisting of an initial move by the focal DM followed by countermoves by the opponents, which generalizes the concept of sequential stability in the graph model.

Higher-order Sequential Stabilities in the Graph Model for Conflict Resolution for Bilateral Conflicts

- Computer Science
- 2020

New solution concepts for the General Graph Model for Conflict Resolution are proposed, called Higher-order Sequential Stabilities, and their relation with other solution concepts commonly used in the GMCR is explored.

Consensus building and the Graph Model for Conflict Resolution

- Mathematics2010 IEEE International Conference on Systems, Man and Cybernetics
- 2010

Stability and unstability of consensus and non-consensus states are examined within the framework of the GMCR and some insights on the processes for achieving consensus in group decision situations are provided.

Alternative Generalized Metarationalities for Multiple Decision-Maker Conflicts

- Mathematics
- 2020

This paper presents an alternative definition for the generalized metarational stability concept to conflicts with n -decision makers (DMs) in the context of the graph model for conflict resolution and establishes some properties satisfied by the proposed alternative definition.

Classifying Metarational Stabilities in Conflicts

- Computer ScienceJournal of Systems Science and Systems Engineering
- 2019

A classification of these solution concepts for n-decision maker conflicts based on generalized metarationalities for modelling possible human behaviour under conflict is presented both to simplify understanding and to illustrate important differences among different stability regimes.

Matrix representation of stability definitions for the graph model for conflict resolution with reciprocal preference relations

- Computer ScienceFuzzy Sets Syst.
- 2021

The graph model for conflict resolution with incomplete fuzzy reciprocal preference relations

- Computer ScienceFuzzy Sets Syst.
- 2019

The Graph Model for Conflict Resolution and Decision Support

- Computer ScienceIEEE Transactions on Systems, Man, and Cybernetics: Systems
- 2021

A survey of the design, development and implementation of a flexible decision technology called the graph model for conflict resolution (GMCR) is discussed for systematically investigating real world…

Design of a Decision Support System for Conflict Resolution

- Computer Science
- 2018

In this chapter, a universal design for a Decision Support System (DSS) for the Graph Model for Conflict Resolution (GMCR) is proposed. Its objective is to permit researchers and practitioners to…

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