期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 62, 期 5, 页码 2270-2285出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2016.2613905
关键词
Opinion dynamics; social network; multi-agent system; decentralized algorithm
资金
- European Research Council [ERCStG-307207]
- CNR International Joint Lab COOPS
- RFBR [14-08-01015]
- Russian Federation [MD-6325.2016.8]
- St. Petersburg State University [6.38.230.2015]
- Russian Science Foundation (RSF) [14-29-00142]
- RSF [16-11-10015, 16-19-00057]
- Russian Science Foundation [17-29-00012, 16-19-00057, 16-11-10015] Funding Source: Russian Science Foundation
Unlike many complex networks studied in the literature, social networks rarely exhibit unanimous behavior, or consensus. This requires a development of mathematical models that are sufficiently simple to be examined and capture, at the same time, the complex behavior of real social groups, where opinions and actions related to them may form clusters of different size. One such model, proposed by Friedkin and Johnsen, extends the idea of conventional consensus algorithm (also referred to as the iterative opinion pooling) to take into account the actors' prejudices, caused by some exogenous factors and leading to disagreement in the final opinions. In this paper, we offer a novel multidimensional extension, describing the evolution of the agents' opinions on several topics. Unlike the existing models, these topics are interdependent, and hence the opinions being formed on these topics are also mutually dependent. We rigorously examine stability properties of the proposed model, in particular, convergence of the agents' opinions. Although our model assumes synchronous communication among the agents, we show that the same final opinions may be reached on average via asynchronous gossip-based protocols.
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