Determining models of influence

Michel Grabisch and Agnieszka Rusinowska

Operations Research and Decisions, 2016, vol. 26, issue 2, 69-85

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.

Keywords: social network; opinion formation; aggregation function; influential coalition; algorithm (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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Related works:
Working Paper: Determining models of influence (2016)
Working Paper: Determining models of influence (2016)
Working Paper: Determining models of influence (2016)
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Persistent link: https://EconPapers.repec.org/RePEc:wut:journl:v:2:y:2016:p:69-85:id:1222

DOI: 10.5277/ord160205

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