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Titlebook: Markov Chain Aggregation for Agent-Based Models; Sven Banisch Book 2016 Springer International Publishing Switzerland 2016 Agent-based Mod

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发表于 2025-3-21 17:02:42 | 显示全部楼层 |阅读模式
书目名称Markov Chain Aggregation for Agent-Based Models
编辑Sven Banisch
视频video
概述Introduces and describes a new approach for modelling certain types of complex dynamical systems.Self-contained presentation and introductory level.Useful as advanced text and as self-study guide.Incl
丛书名称Understanding Complex Systems
图书封面Titlebook: Markov Chain Aggregation for Agent-Based Models;  Sven Banisch Book 2016 Springer International Publishing Switzerland 2016 Agent-based Mod
描述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 soci
出版日期Book 2016
关键词Agent-based Modelling; Contrarian Voter Model; Dynamics of Complex Systems; Lumpability and State-space
版次1
doihttps://doi.org/10.1007/978-3-319-24877-6
isbn_softcover978-3-319-79691-8
isbn_ebook978-3-319-24877-6Series ISSN 1860-0832 Series E-ISSN 1860-0840
issn_series 1860-0832
copyrightSpringer International Publishing Switzerland 2016
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Understanding Complex Systemshttp://image.papertrans.cn/m/image/624610.jpg
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978-3-319-79691-8Springer International Publishing Switzerland 2016
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https://doi.org/10.1007/978-3-319-24877-6Agent-based Modelling; Contrarian Voter Model; Dynamics of Complex Systems; Lumpability and State-space
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Background and Concepts,BMs). The former represents one of the simplest forms of a stochastic process while the latter puts a strong emphasis on heterogeneity and social interactions. This chapter provides an introduction to AB modeling and reviews approaches to use Markov chains in their analysis.
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Overlapping Versus Non-overlapping Generations,her speciation or adaptation, since these features appear as two opposing phenomena, not achieved by one and the same model. Even though natural selection, operating as an external, environmental mechanism, is neither necessary nor sufficient for the creation of speciation, our modeling exercises hi
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and in den neuen Gleichgewichtszustand unter . einer zweiten Phase übergeht. Ausscheidungen sind demnach auf Fälle beschränkt, in denen der Existenzbereich von Mischkristallen mit wachsender Temperatur zunimmt, was zwar meist, aber nicht immer zutrifft (vgl. z. B. .-Messing nach Abb. D 13).
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