product description page

Markov Chain Aggregation for Agent-based Models (Hardcover) (Sven Banisch)

Markov Chain Aggregation for Agent-based Models (Hardcover) (Sven Banisch) - image 1 of 1

About this item

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
Genre: Science, Mathematics
Sub-Genre: Mathematical Physics, Chaotic Behavior in Systems, Applied
Series Title: Understanding Complex Systems
Format: Hardcover
Publisher: Springer Verlag
Author: Sven Banisch
Language: English
Street Date: January 5, 2016
TCIN: 50901324
UPC: 9783319248752
Item Number (DPCI): 248-12-5056
If the item details above aren’t accurate or complete, we want to know about it. Report incorrect product info.

Guest reviews

Prices, promotions, styles and availability may vary by store & online. See our price match guarantee. See how a store is chosen for you.