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Who replaces whom? : local versus non-local replacement in social and evolution...
Banisch, Sven; Araújo, TanyaIn this paper, we inspect well-known population genetics and social dynamics models. In these models, interacting individuals, while participating in a self-organizing process, give rise to the emergence of complex behaviors and patterns. While one main focus in population genetics is on the adaptative behavior of a population, social dynamics is more often concerned with the splitting of a connected array of i...
Aggregation and emergence in agent based models : a markov chain approach
Banisch, Sven; Lima, Ricardo; Araújo, TanyaWe analyse the dynamics of agent-based models (ABMs) from a Markovian perspective and derive explicit statements about the possibility of linking a microscopic agent model to the dynamical processes of microscopic observables that are useful for a precise understanding of the model dynamics. In this way the dynamics of collective variables may be studied, and a description of macro dynamics as emergent properti...
Agent based models and opinion dynamics as Markov chains
Banisch, Sven; Lima, Ricardo; Araújo, TanyaThis 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 ma...
Opinion dynamics and communication networks
Banisch, Sven; Araújo, Tanya; Louçã, JorgeThis paper examines the interplay of opinion exchange dynamics and communication network formation. An opinion formation procedure is introduced which is based on an abstract representation of opinions as k-dimensional bit-strings. Individuals interact if the difference in the opinion strings is below a defined similarity threshold dI . Depending on dI , different behaviour of the population is observed: low va...
Opinion Dynamics and Communication Networks
Banisch, Sven; Araújo, Tanya; Louçã, JorgeThis paper examines the interplay of opinion exchange dynamics and communication network formation. An opinion formation procedure is introduced which is based on an abstract representation of opinions as k-dimensional bit-strings. Individuals interact if the difference in the opinion strings is below a defined similarity threshold. Depending on, different behaviour of the population is observed: low values res...
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