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Markov Chain Aggregation for Agent-Based Models (Hardcover, 1st ed. 2016) Loot Price: R2,552
Discovery Miles 25 520
Markov Chain Aggregation for Agent-Based Models (Hardcover, 1st ed. 2016): Sven Banisch

Markov Chain Aggregation for Agent-Based Models (Hardcover, 1st ed. 2016)

Sven Banisch

Series: Understanding Complex Systems

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Loot Price R2,552 Discovery Miles 25 520 | Repayment Terms: R239 pm x 12*

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This self-contained text develops a Markov chain approach that makes the rigorous analysis of a class of microscopic models that specify the dynamics of complex systems at the individual level possible. It presents a general framework of aggregation in agent-based and related computational models, one which makes use of lumpability and information theory in order to link the micro and macro levels of observation. The starting point is a microscopic Markov chain description of the dynamical process in complete correspondence with the dynamical behavior of the agent-based model (ABM), which is obtained by considering the set of all possible agent configurations as the state space of a huge Markov chain. An explicit formal representation of a resulting "micro-chain" including microscopic transition rates is derived for a class of models by using the random mapping representation of a Markov process. The type of probability distribution used to implement the stochastic part of the model, which defines the updating rule and governs the dynamics at a Markovian level, plays a crucial part in the analysis of "voter-like" models used in population genetics, evolutionary game theory and social dynamics. The book demonstrates that the problem of aggregation in ABMs - and the lumpability conditions in particular - can be embedded into a more general framework that employs information theory in order to identify different levels and relevant scales in complex dynamical systems

General

Imprint: Springer International Publishing AG
Country of origin: Switzerland
Series: Understanding Complex Systems
Release date: 2016
First published: 2016
Authors: Sven Banisch
Dimensions: 235 x 155 x 18mm (L x W x T)
Format: Hardcover
Pages: 195
Edition: 1st ed. 2016
ISBN-13: 978-3-319-24875-2
Categories: Books > Science & Mathematics > Physics > General
Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory
Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science
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LSN: 3-319-24875-8
Barcode: 9783319248752

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