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Agent based models and opinion dynamics as Markov chains

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dc.contributor.authorBanisch, Sven
dc.contributor.authorLima, Ricardo
dc.contributor.authorAraújo, Tanya
dc.date.accessioned2023-11-21T14:46:59Z
dc.date.available2023-11-21T14:46:59Z
dc.date.issued2012
dc.description.abstractThis paper introduces a Markov chain approach that allows a rigorous analysis of agent based opinion dynamics as well as other related agent based models (ABM). By viewing the ABM dynamics as a micro-description of the process, we show how the corresponding macro-description is obtained by a projection construction. Then, well known conditions for lumpability make it possible to establish the cases where the macro model is still Markov. In this case we obtain a complete picture of the dynamics including the transient stage, the most interesting phase in applications. For such a purpose a crucial role is played by the type of probability distribution used to implement the stochastic part of the model which defines the updating rule and governs the dynamics. In addition, we show how restrictions in communication leading to the co-existence of different opinions correspond to the emergence of new absorbing states. We describe our analysis in detail with some specific models of opinion dynamics. Generalizations concerning different opinion representations as well as opinion models with other interaction mechanisms are also discussed. With their obvious limitations, the models do not allow for a direct generalization to more realistic cases, their treatment is only the first step in the stochastic analysis of the micro–macro link in social simulation. We find that our method may be an attractive alternative to mean-field approaches and that this approach provides new perspectives on the modeling of opinion exchange dynamics, and more generally of other ABM.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationBanisch, Sven; Ricardo Lima and Tanya Araújo .(2012). “Agent based models and opinion dynamics as Markov chains”. Social Networks, Volume 34, Issue 4: pp. 549-561. (Search PDF in 2023).pt_PT
dc.identifier.doidoi.org/10.1016/j.socnet.2012.06.001pt_PT
dc.identifier.issn0378-8733
dc.identifier.urihttp://hdl.handle.net/10400.5/29459
dc.language.isoengpt_PT
dc.publisherElsevierpt_PT
dc.subjectAgent Based Modelspt_PT
dc.subjectOpinion Dynamicspt_PT
dc.subjectMarkov Chainspt_PT
dc.subjectMicro–Macropt_PT
dc.subjectLumpabilitypt_PT
dc.subjectTransient Dynamicspt_PT
dc.titleAgent based models and opinion dynamics as Markov chainspt_PT
dc.typejournal article
dspace.entity.typePublication
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT

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UECE - Artigos em Revistas Internacionais / Articles in International Journals
DE - Artigos em Revistas Internacionais / Articles in International Journals