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The book introduces a Markov chain approach for analyzing microscopic models of complex systems at the individual level. It establishes a framework for aggregation in agent-based models, utilizing lumpability and information theory to connect micro and macro observations. A detailed "micro-chain" representation is developed, focusing on transition rates and the stochastic elements that govern dynamics in "voter-like" models relevant to population genetics and social dynamics. The work emphasizes how aggregation issues in ABMs can be understood through a broader informational context, enhancing the analysis of complex systems.
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Markov Chain Aggregation for Agent-Based Models, Sven Banisch
- Language
- Released
- 2016
- product-detail.submit-box.info.binding
- (Hardcover)
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- Title
- Markov Chain Aggregation for Agent-Based Models
- Language
- English
- Authors
- Sven Banisch
- Publisher
- Springer International Publishing
- Released
- 2016
- Format
- Hardcover
- Pages
- 212
- ISBN13
- 9783319248752
- Category
- Mathematics, Nature in general
- Description
- The book introduces a Markov chain approach for analyzing microscopic models of complex systems at the individual level. It establishes a framework for aggregation in agent-based models, utilizing lumpability and information theory to connect micro and macro observations. A detailed "micro-chain" representation is developed, focusing on transition rates and the stochastic elements that govern dynamics in "voter-like" models relevant to population genetics and social dynamics. The work emphasizes how aggregation issues in ABMs can be understood through a broader informational context, enhancing the analysis of complex systems.