Aggregation and Emergence in Agent-Based Models: A Markov Chain Approach

Sven Banisch; Ricardo Lima; Tanya Araújo

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arXiv · 1207.2255

Aggregation and Emergence in Agent-Based Models: A Markov Chain Approach

Sven Banisch·Ricardo Lima·Tanya Araújo

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Abstract

We analyze 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 macroscopic 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 properties of micro dynamics, in particular during transient times, is possible.

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Sven Banisch, Ricardo Lima, Tanya Araújo. 2012-07-10. Aggregation and Emergence in Agent-Based Models: A Markov Chain Approach. https://arxiv.org/abs/1207.2255

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