Markov Chain Aggregation for Agent-Based Models by Sven Banisch PDF

By Sven Banisch

ISBN-10: 3319248758

ISBN-13: 9783319248752

ISBN-10: 3319796917

ISBN-13: 9783319796918

This self-contained textual content develops a Markov chain method that makes the rigorous research of a category of microscopic types that designate the dynamics of advanced structures on the person point attainable. It provides a common framework of aggregation in agent-based and comparable computational types, one that uses lumpability and data conception as a way to hyperlink the micro and macro degrees of commentary. the start line is a microscopic Markov chain description of the dynamical approach in entire correspondence with the dynamical habit of the agent-based version (ABM), that is acquired by way of contemplating the set of all attainable agent configurations because the country area of an important Markov chain. An particular formal illustration of a ensuing “micro-chain” together with microscopic transition charges is derived for a category of types through the use of the random mapping illustration of a Markov technique. the kind of likelihood distribution used to enforce the stochastic a part of the version, which defines the updating rule and governs the dynamics at a Markovian point, performs a very important half within the research of “voter-like” versions utilized in inhabitants genetics, evolutionary video game conception and social dynamics. The booklet demonstrates that the matter of aggregation in ABMs - and the lumpability stipulations particularly - might be embedded right into a extra basic framework that employs info conception with the intention to establish various degrees and proper scales in complicated dynamical systems

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Markov Chain Aggregation for Agent-Based Models (Understanding Complex Systems) by Sven Banisch

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