- Tytuł:
- Determining models of influence
- Autorzy:
-
Grabisch, M.
Rusinowska, A. - Powiązania:
- https://bibliotekanauki.pl/articles/406296.pdf
- Data publikacji:
- 2016
- Wydawca:
- Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
- Tematy:
-
social network
opinion formation
aggregation function
influential coalition
algorithm - Opis:
- 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.
- Źródło:
-
Operations Research and Decisions; 2016, 26, 2; 69-85
2081-8858
2391-6060 - Pojawia się w:
- Operations Research and Decisions
- Dostawca treści:
- Biblioteka Nauki
Artykuł