Markov Chain Aggregation for Agent-Based Models

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, o...

Full description

Main Author: Banisch, Sven. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:Understanding Complex Systems,
Subjects:
Online Access:https://doi.org/10.1007/978-3-319-24877-6
Table of Contents:
  • Introduction
  • Background and Concepts
  • Agent-based Models as Markov Chains
  • The Voter Model with Homogeneous Mixing
  • From Network Symmetries to Markov Projections
  • Application to the Contrarian Voter Model
  • Information-Theoretic Measures for the Non-Markovian Case
  • Overlapping Versus Non-Overlapping Generations
  • Aggretion and Emergence: A Synthesis
  • Conclusion.