Determining models of influence
Journal Title: Operations Research and Decisions - Year 2016, Vol 26, Issue 2
Abstract
We consider a model of opinion formation based on aggregation functions. Each player modifies his opinion by arbitrarily aggregating the current opinion of all players. A player is influential on another player if the opinion of the first one matters to the latter. Generalization of an influential player to a coalition whose opinion matters to a player is called an influential coalition. Influential players (coalitions) can be graphically represented by the graph (hypergraph) of influence, and convergence analysis is based on properties of the hypergraphs of influence. In the paper, we focus on the practical issues of applicability of the model w.r.t. a standard framework for opinion formation driven by Markov chain theory. For a qualitative analysis of convergence, knowing the aggregation functions of the players is not required, one only needs to know the set of influential coalitions for each player. We propose simple algorithms that permit us to fully determine the influential coalitions. We distinguish three cases: a symmetric decomposable model, an anonymous model, and a general model.
Authors and Affiliations
Michel GRABISCH, Agnieszka RUSINOWSKA
Keywords
Related Articles
- EP ID EP323616
- DOI -
- Views 39
- Downloads 0
Particulate matter air pollution in an urban area. A case study
Many European agglomerations suffer from high concentrations of particulate matter (PM), which is now one of the most detrimental pollutants characterizing the urban atmospheric environment. This paper addresses the prob...
Implications of market frictions: serial correlations in indexes on the emerging stock markets in Central and Eastern Europe
Implications of market frictions in the context of serial correlations in indexes on the Central and Eastern European (CEE) stock markets have been analysed. Market frictions, such as non-trading effects, bid/ask spreads...
A game theoretical study of generalized trust and reciprocation in Poland: I. Theory and experimental design
Although studies using experimental game theory have been carried out in various countries, no such major study has occurred in Poland. The study described here aims to investigate generalised trust and reciprocation amo...
Multi-Criteria Decision Analysis (MCDA) methods in Life-Cycle Assessment (LCA): A comparison of private passenger vehicles
Analogies between the life cycle assessment (LCA) and multicriteria decision analysis (MCDA) methodologies have been discussed as well as LCA as an MCDA problem for resolving the trade-offs between multiple environmental...
Determining an estimate of an equivalence relation for moderate and large sized sets
This paper presents two approaches to determining estimates of an equivalence relation on the basis of pairwise comparisons with random errors. Obtaining such an estimate requires the solution of a discrete programming p...