Title
Perceptual Stability Analysis of a Graph Model System
Abstract
Perceptual graph model systems are designed to be employed when there are discrepancies in decision makers' (DMs) perceptions of a conflict, which may be caused, for instance, by the presence of negative emotion or asymmetric information among DMs. In this case, conventional stability analysis cannot be used; perceptual stability analysis is proposed as a new theoretical procedure that extends existing stability algorithms to situations when DMs have independent perceptions or awarenesses of a conflict. The overriding objective of perceptual stability analysis is to predict possible resolutions, and unveil the dependence of these predictions on variability in a DM's awareness. Perceptual stability analysis takes a two-phase approach. In Phase 1, individual stability analysis is applied to each DM's graph model (a perceptual graph model) from the point of view of the owner of the model, for each DM in the model, using standard or perceptual solution concepts, depending on the owner's awareness of others' perceptions. Then, in Phase 2, metastability analysis is employed to consolidate the stability assessments of a state in all perceptual graph models and across all variants of awareness--i.e., in all possible graph model systems. The distinctive modes of equilibria thus defined reflect the incompatibilities in DMs' perceptions and viewpoints, but nonetheless provide important insights into possible resolutions of the conflict. To demonstrate the practical application of these new developments, a model of the conflict in Chechnya is presented and analyzed.
Year
DOI
Venue
2009
10.1109/TSMCA.2009.2020686
Systems, Man and Cybernetics, Part A: Systems and Humans, IEEE Transactions
Keywords
Field
DocType
graph theory,modelling,stability,metastability analysis,negative emotion or asymmetric information,perceptual graph model system,perceptual stability analysis,stability assessment,Emotion,graph model for conflict resolution,metastability analysis,perception,perceptual graph models,perceptual stability analysis,strategic conflict
Graph theory,Mathematical optimization,Information asymmetry,Economic forecasting,Computer science,Viewpoints,Delta modulation,Artificial intelligence,Game theory,Perception,Machine learning,Graph model
Journal
Volume
Issue
ISSN
39
5
1083-4427
Citations 
PageRank 
References 
5
0.59
4
Authors
3
Name
Order
Citations
PageRank
Amer Obeidi1274.44
D. Marc Kilgour2599.74
Keith W. Hipel313321.57