A model of influence based on aggregation functions

Michel Grabisch and Agnieszka Rusinowska

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

Abstract: The paper concerns a dynamic model of influence in which agents have to make a yes-no decision. Each agent has an initial opinion, which he may change during different phases of interaction, due to mutual influence among agents. The influence mechanism is assumed to be stochastic and to follow a Markov chain. In the paper, we investigate a model of influence based on aggregation functions. Each agent modifies his opinion independently of the others, by aggregating the current opinion of all agents, possibly including himself. We provide a general analysis of convergence in the aggregation model and give more practical conditions based on influential players. We show that the process of influence converges always to one of the two consensus states, and there may exist other terminal classes, which are either cyclic or union of Boolean lattices. We give sufficient conditions for avoiding these additional terminal classes, based on properties of the graph of influence and influential players. We also introduce the notion of influential coalition and show that it can fully describe terminal classes. Some important families of aggregation functions are discussed.

Keywords: influential coalition; social network; Influence; aggregation function; convergence; terminal class; réseau social; fonction d'agrégation (search for similar items in EconPapers)
Date: 2011-10
New Economics Papers: this item is included in nep-cdm, nep-gth, nep-mic, nep-net and nep-soc
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00639677
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Citations: View citations in EconPapers (1)

Published in 2011

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Related works:
Journal Article: A model of influence based on aggregation functions (2013)
Working Paper: A Model of Influence Based on Aggregation Function (2013)
Working Paper: A Model of Influence Based on Aggregation Function (2013)
Working Paper: A Model of Influence Based on Aggregation Function (2013)
Working Paper: A model of influence based on aggregation functions (2011)
Working Paper: A model of influence based on aggregation functions (2011)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:cesptp:halshs-00639677

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